Pythagorean Theorem to determine the gap between second base and home plate.
Explain the pythagorean theorem.The Pythagorean theorem and the coordinates of the two locations are used in the distance formula to determine the distance between them. The formula below can be used to determine the length of AB if A and B make up the hypotenuse of a right triangle: Leg2 plus Leg2 equals Hypotenuse 2.
measured from the middle of the backstop to the apex of home plate. Place second base in centre by drawing a line from the backstop's centre point over the pitcher's mound, through the apex. The distance that needs to be measured is between the centre of second base and the top of home plate.
The square root of (a,c)2 + (b,d)2 is used to calculate the distance between the points (a,b) and (c,d). The distance between points (a, b, c) and (d, e, f) in three dimensions is equal to the square root of (a, d), (b, e), and (c, f).
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Does thermal energy increase or decrease during melting?
Thermal energy increases during melting.
When ice melts during melting, its temperature remains constant until all the ice turns into water. Then, heating of liquid water causes the molecules to vibrate faster and steadily increasing the temperature.
What is thermal energy?Thermal energy refers to the energy contained within a system that is responsible for its temperature. Heat is the flow of thermal energy. A branch of physics, thermodynamics, concerns with how heat is transferred among different systems.
An example of thermal energy is boiling water on a stove. When boiling water, thermal energy is produced when the atoms and molecules in a substance vibrate faster because of raising in temperature.
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A 15,000 kg rocket traveling at +230 m/s turns on its engines. Over a 6. 0 s period it burns 1,000 kg of fuel. An observer on the ground measures the velocity of the expelled gases to be −1,200 m/s
First, we need to calculate force of the rocket.
What is Velocity?
Velocity is a vector quantity that describes the rate and direction of a body's motion. It is represented by an arrow pointing in the direction of motion and having a length equal to the rate of motion. Velocity is a fundamental concept in classical mechanics and is defined as the rate of change of position with respect to time.
Calculate the force of the rocket:
F = ma = (15,000 kg)(230 m/s) = 3,450,000 kg m/s2
Calculate the force of the exhaust gases:
F = ma = (1,000 kg)(-1,200 m/s) = -1,200,000 kg m/s2
Calculate the net force on the rocket:
Net Force = F_rocket + F_exhaust = 3,450,000 kg m/s2 + (-1,200,000 kg m/s2) = 2,250,000 kg m/s2
Calculate the acceleration of the rocket:
a = F/m = (2,250,000 kg m/s2)/(15,000 kg) = 150 m/s2
Calculate the change in velocity of the rocket:
Δv = a × t = (150 m/s2)(6.0 s) = 900 m/s.
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Write the equation of the line that represents the relationship between the two relative temperature scales degrees Fahrenheit and degrees Celsius. The information below is useful.Water freezes at (0 Celcius degrees, 32 Farenheit degrees)
Water boils at (100 Celcius degrees, 212 Farenheit degrees)
Celsius (C) scale to its Fahrenheit (F) relation is [tex]F = \frac{9}{5} C + 32[/tex].
The degree Celsius is a temperature unit on the Celsius scale, which is one of two temperature scales employed by the International System of Units (SI) alongside the Kelvin scale. The degree Celsius (symbol: °C) can refer to a certain temperature on the Celsius scale or a unit used to represent the difference or range between two temperatures. It is named after Anders Celsius (1701-1744), a Swedish astronomer who invented a comparable temperature scale in 1742. The measurement was previously known as centigrade, from the Latin centum, which means 100, and gradus, which represents steps, until being changed in 1948 to honour Anders Celsius.
The Fahrenheit scale is a temperature scale that was proposed by scientist Daniel Gabriel Fahrenheit in 1724. The degree Fahrenheit is the unit of measurement. Fahrenheit temperature scale, based on the freezing point of water at 32° and the boiling point of water at 212°, with the distance between the two split into 180 equal parts.
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You are deigning another dolly andbag ytem for a different actor in the performance the ma of the dolly and the actor combined i 76kg and then ma of the andbag i 18kg the coefficient of kinetic friction Between the dolly and the tage floor i 0. 20. What i the acceleration
The acceleration of a dolly-sandbag system when mass and coefficient of kinetic friction is given is calculated to be 0.29 m/s².
Given that,
The mass of the dolly and actor combined M = 76 kg
The mass of the sandbag m = 18 kg
The coefficient of kinetic friction between the dolly and the stage floor = 0.20.
Let the acceleration is a.
From Newton's 2nd law of motion, we can write that,
ΣF = (m+M) a
mg - μMg = (m+M) a
a = g (m- μM)/ (m+M)
a = 9.8 ( 18 - 0.20×76)/(18+76)
a = 0.29 m/s².
Thus, the acceleration of the dolly-sandbag system is 0.29 m/s².
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In fact, in the absence of air resistance, the amount of ____ energy when the ball is held motionless above the floor equals the amount of ____ energy at impact with the floor.
the following blanks are gravitational potential energy and kinetic energy
Gravitational potential energy is the energy that an object has due to its position in a gravitational field.It is given by the equation Ep = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above a reference point. Kinetic energy is the energy an object possesses by virtue of its motion. It is given by the equation Ek = 1/2mv^2, where m is the mass of the object and v is its velocity.
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A girl on a skateboard (total mass of 40 kg) is moving at a speed of 10 m/s at the bottom of a long ramp. The ramp is inclined at with respect to the horizontal. If she travels 14.2 m upward along the ramp before stopping, what is the net frictional force on her
Long ramp would be the net static friction acting on her if the ramp has a total weight of 40 kg is F = 6.77 N.
What is the force's overall net force?The effects (the sum) of any and all pulling and pushing forces that are actually acting on an object is known as the net force. An item will speed up in the net force if the pushing and pulling forces acting on it are not equal (a net force acts).
Calculation -:E(f) - E(i) = -F(k)d
E(f) = mgy(f) = 1/2×mv²(f)
E(i) = mgy(i) + 1/2×mv²(i)
F(k) = [E(f)- E(i)]/-d
= {mgy(s) + 1/2mv²(f) - (mgy(i) + 1/2mv²(i))}/-d
F(k) = {(40)(9.8)(14.2)(sin[tex]20^{o}[/tex]) +0-(0+1/2(40)([tex]10^{2}[/tex])}/-14.2
F(k) = 6.77 N
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What is the charge Q on the capacitor immediately after the switch is moved to position b?
Express your answer using two significant figures.
Answer must be in microC.
18 μC is the charge Q on the capacitor immediately after the switch is moved to position b .
The expression for the charge on the capacitor is as follows :
Q = CV
substitute 2.0 μF for C and 9V for V.
Q = (2μF) {[tex]\frac{1 * 10^{-6} F }{1μF}[/tex]} (9V)
= 18 * [tex]10^{-6}[/tex] C
≈ 18 μC
Charge is not stored in capacitors. In reality, capacitors store an unbalanced charge. If a capacitor's one plate has one coulomb of charge stored on it and the other plate has one less, the total charge (added up over both plates) will be zero.
Formula q=CV, where q is the charge stored, C is the capacitance, and V is the applied voltage, describes this relationship.
Always, current flows from -ve to +ve. As a result, charge will move away from the -ve plate and towards the +ve plate. Therefore, the charge on a capacitor always equals the charge on the positive plate, never the negative.
The link between a capacitor's capacitance, its charge, and the voltage across it.
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Which type of view would best allow scientist to see the shape of the arm in a spiral galaxy? A. edge-on B. side-diagonal C. face-on D. bottom-up
Answer:
B
Explanation:
it has the best view for seeing the shape of the arm in a spiral galaxy
The type of view would best allow scientist to see the shape of the arm in a spiral galaxy is Side diagnol.
What is Spiral galaxy?Spiral galaxies are twisted collections of stars and gas that often have beautiful shapes and are made up of hot young stars.
Most of the galaxies that scientists have discovered so far are spiral galaxies, as opposed to the other two main categories of galaxy shapes — elliptical and irregular. The Milky Way – the galaxy that includes Earth and our solar system – is an example of a spiral galaxy.
The majority of spiral galaxies have a flat, spinning disk of stars around a central bulge. Older, fainter stars make up the bulge in the center, which is thought to house a supermassive black hole.
Therefore, The type of view would best allow scientist to see the shape of the arm in a spiral galaxy is Side diagnol.
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A body of ma 3kg and volume 4x10-4m3 hung from a balance graduated in newton. What i the reading of the balance when the body i in air
W=mg=(3)(9.8)=29.4N is the balance measurement for an airborne body. Scales of this kind include spring balances and newtons meters. They are frequently used to gauge the amount of force applied to an object.
What guiding principle guides the Newton spring balance?The spring balance operates according to Hooke's law. According to Hooke's law, a material's strain will increase in direct proportion to its applied stress up to its elastic limit.
The spring balance measures what?A straightforward and affordable way of measuring mass is offered by spring balances. The mass is suspended from a spring, and the spring's bending caused by the mass's downward gravitational pull is gauged against a scale.
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What is the relationship between changes in air pressure in wind speeds, answers, when a high and low pressure, air mass or close together. It moves slowly from high to low pressure, when I have high and low pressure MS are far apart and is quickly from low to high pressure, when a high and a low pressure area, so far apart, and move slowly from high to low pressure, when a high in a low
Answer:
Explanation:
Gases move from high-pressure areas to low-pressure areas. And the bigger the difference between the pressures, the faster the air will move from the high to the low pressure. That rush of air is the wind we experience.
Answer:
points are needed
Explanation:
When you wear a backpack, your center of gravity shifts in which direction? A. up. B. back. C. forward. D. up and back
When we wear the backpack, the center of gravity will go to the back and up direction.
A location established in relation to an object or set of objects is the center of mass. It represents the system's average location as weighted by each component's mass. The center of gravity for straightforward stiff objects with homogeneous density is found at the centroid.
Because the center of mass of any body is situated where the majority of the body mass is concentrated, when we wear a backpack, the center of mass shifts toward the up and back.
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A curve in the road is treated as a horizontal circle. A car drives around the curve with a constant translational velocity of 14 m/s, and the total horizontal force on the driver is 130 N. What is the total horizontal force on the driver if the translational velocity around the same curve is 18 m/s
The total horizontal force on the driver if the translational velocity around the same curve is 18 m/s is 215 N.
What is a force?The word 'force' has a precise meaning. At this level, it is completely appropriate to describe a force as a push or a pull. A force is not something that an object contains or 'has in it'.
Calculation -:In ∑F=m rv 2,
both m and r are unknown but remain constant.
Symbolically,
write ∑F slow =( r m )(14.0m/s) 2
and ∑F fast =( r m )(18.0m/s) 2
Therefore, ∑F is proportional to v 2 and increases by a factor of ( 14.018.0 ) 2
as v increases from 14.0m/s to 18.0m/s.
The total force at the higher speed is then
∑F fast =( 14.018.0 )
2 ∑F slow =( 14.018.0 ) 2 (130N)
=215N
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We can best understand how a diver is able to control his rate of rotation while in the air (and thus enter the water in a vertical position) by observing that while in the air
A) his linear momentum is constant.
B) his potential energy is constant.
C) his kinetic energy is constant.
D) his angular momentum is constant.
E) his total energy is constant.
A diver can regulate his rate of rotation and reach the water in a vertical position because his angular momentum stays constant while he is in the air. This information makes it easier for us to comprehend how this is possible.
As a result, Option D is accurate.
The rotating counterpart of linear momentum in physics is called angular momentum. Given that the total angular momentum is conserved, or remains constant in a closed system, it is an important physical quantity. By dividing the rotational inertia of an item by the angular velocity, one may get its angular momentum. The angular velocity of an item is used to calculate its rotational speed. An object's rotational inertia is what makes turning it challenging. On an ice rink or in an office, someone spinning
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how long after closing the switch s will the potential across each capacitor be reduced to 15.0 v ?
The time taken can be calculated by the equation: t = -RC ln(15/50)
To determine how long after closing the switch s the potential across each capacitor will be reduced to 15.0 V, we need to know the initial potential across the capacitors, the capacitance value and the resistance in the circuit.
When a switch is closed, the potential across a capacitor decreases exponentially with time according to the equation:
V(t) = V0e^(-t/RC)
Where V0 is the initial potential across the capacitor, t is time, R is the resistance in the circuit, and C is the capacitance.
In this case, the initial potential across each capacitor is 50.0 V, and the resistance in the circuit is 80 ohms.
To find the capacitance value we need to know that the capacitors are parallely connected, which means that the total capacitance is the sum of the individual capacitances:
Ctotal = C1 + C2
Once we have the capacitance value, we can find the time constant RC:
RC = R / Ctotal
Now we can use the equation above to find the time it takes for the potential to decay to a certain percentage of the initial value.
For example, if we want to find the time it takes for the potential to decay to 15.0 V (30% of the initial value), we can use the following equation:
15.0 V = 50.0 Ve^(-t/RC)
and we can solve for t:
t = -RC ln(15/50)
It's worth noting that this is an estimation and that in real world situations the resistance and capacitance values are also affected by other factors such as leakage current or parasitic capacitances.
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Using Newton’s third law, explain why the impulse on one object in a collision is equal in magnitude but opposite in direction to the impulse on the second object. Answer if yk
Since every action has an equal and opposite response according to Newton's third law of motion, the impulses that colliding objects exert on one another are equal and opposite.
This implies that whenever one item exerts force on another, the other object responds by exerting a force that is equal to and opposite to that exerted by the first object. A collision is a brief interaction between two bodies or more than two bodies at once that results in a change in the motion of the bodies involved due to the internal forces at play. force is involved in collisions (there is a change in velocity ). When two bodies collide, their combined kinetic energy stays constant, which is known as an elastic collision.
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The moon Phobos orbits Mars
(mass = 6.42 x 1023 kg) at a distance
of 9.38 x 106 m. What is its period of
orbit?
period of orbit is 2136.63 m/s if The moon Phobos orbits Mars (mass = 6.42x 1023 kg) at a distance of 9.38 x 106 m.
What is the full meaning of distance?noun. the extent or amount of space between two things, points, lines, etc. the state or fact of being apart in space, as of one thing from another; remoteness. a linear extent of space: Seven miles is a distance too great to walk in an hour.
How is distance measured?The SI unit for distance is the meter (m). Short distances may be measured in centimeters (cm), and long distances may be measured in kilometers (km). For example, you might measure the distance from the bottom to the top of a sheet of paper in centimeters and the distance from your house to your school in kilometers.
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A construction worker drops a 1.9 kg hammer from a roof that is 6.25 m high. What is the velocity of the hammer when it strikes the ground?
The velocity of the hammer of mass 1.9 kg is 11.07 m/s.
What is velocity?Velocity is the rate of change of displacement.
To calculate the velocity of the hammer, we use the formula below.
Formula:
v = √2gh................... Equation 1Where:
v = Velocity of the hammerg = Acceleration due to gravity = 9.8 m/s²h = Height of the roof = 6.25 mSubstitute these values into equation 1
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Why does acceleration increase down a ramp?
Acceleration increase down a ramp, due to an object is free to move under the influence of gravity. That's why acceleration increases.
Acceleration is a measure of how quickly an object's velocity changes. On a ramp, an object is free to move under the influence of gravity. The gravitational force acting on an object is always directed downward, and the force of friction acting on an object is directed upward. The force acting on an object moving down a ramp is the force of gravity minus the force of friction. Since the force of gravity is greater than the force of friction, the net force acting on the object is directed downward, which causes the object to accelerate downward. The angle of the ramp affects the force of friction, as the greater the angle of the ramp, the greater the force of friction, and the less the net force acting on the object and less acceleration. Therefore, acceleration increases down a ramp because the net force acting on an object is directed downward and the angle of the ramp affects the force of friction.
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If 400g of ice at -2°C i placed in 1 kg of water at 21°C what i the end product when equilibrium i reached?
The end product when equilibrium is reached is a mixture of water and ice at a temperature of 0°C.
Since the temperature of the water is higher than the temperature of the ice, the ice starts to melt and the temperature of the mixture decreases until it reaches the freezing point of 0°C.
The amount of water in the mixture increases due to the melting of the ice while the amount of ice decreases until all of the ice has melted and there is 1.4 kg of water in the mixture.
The heat energy that was released when the ice melted is absorbed by the water, raising its temperature to 0°C and causing it to reach equilibrium.
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A elastic spring is compressed by an amount x. Show that its P.E. is 1/2 kx2
where k is the spring constant.
Answer:
The potential energy (P.E.) stored in an elastic spring is equal to the work done in compressing or stretching the spring.
When a spring is compressed or stretched, the force required to do so is given by Hooke's law, which states that the force F required to compress or stretch a spring by an amount x is given by
F = kx, where k is the spring constant.
The work done in compressing or stretching a spring is equal to the force required to do so multiplied by the distance over which the force is applied.
In the case of a spring, this distance is equal to the amount x by which the spring is compressed or stretched.
Therefore, the work done in compressing or stretching a spring is given by
W = Fd = kx * x = kx^2.
The potential energy stored in the spring is equal to the work done to compress or stretch it.
Therefore, the potential energy of a spring that is compressed by an amount x is given by P.E. = W = kx^2.
Substituting kx^2 = 1/2 kx^2, we find that
P.E. = 1/2 kx^2.
This shows that the potential energy stored in an elastic spring is equal to 1/2 times the spring constant multiplied by the amount x by which the spring is compressed or stretched.
Explanation:
Position Collisions
Scenario 1: Fatima and Alberta are playing catch. Fatima is standing at
the door, while Alberta is standing 8m away to the right. Fatima throws a
paper ball to the right with a speed of 2.4m/s. Alberta realizes that she is
to far away and runs to the left at 0.6m/s. When and where will Alberta meet
the paper ball?
Alberta will meet the paper ball 8m away from Fatima's position after 13.3 seconds.
What is the seconds?
Seconds is a unit of time and is the base unit of time in the International System of Units (SI). It is described as the length of 9,192,631,770 radiation periods that correspond to the change between the two hyperfine levels of the cesium-133 atom's ground state. One second is equal to 1/60 of a minute, 1/3,600 of an hour, 1/86,400 of a day, and 1/31,536,000 of a year.
Seconds are a unit of time that is equal to one sixty-fourth of a minute. It is the base unit of measurement for time in the International System of Units (SI). One second is equal to 1000 milliseconds or 0.000277778 minutes. Seconds can be used to measure very short periods of time, such as the time it takes for light to travel from one end of a football field to the other.
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A block of mass mm is initially at rest on a rough horizontal surface when a constant force FF is exerted on it, as shown. The block accelerates to the right and is moving with speed vv once it has moved a distance dd. Which of the following equations can be used to solve for the force of friction exerted on the block by the surface?
F m v2 А F-f= 2d B F-f=ma с F-f= mv2 2d D f-F = mv2 d E f-F = mv2 2d
Block B on the exterior f-F = ma c f-F = mv2 2d f-F = D = mv2 d f-F E f-F = v2 2d.
What is meant by mass surface?A thing's top, exterior, or outermost layer: Tropical rain forests once covered 10% of the earth's surface. The marble has a smooth, polished surface.
The surface of the picture is covered in little fissures. The bowl's exterior has a glossy finish. The wood was rough on the outside. Ice-covered roads ought to be avoided. The phrase "on the surface" describes how something seems, even if it isn't really the case.
The formulas F- f = mv2 / d can be used to determine the force of friction that the surface exerts on the block.
Briefing:
F - f = ma
a = v/t
t = d/v
F - f = m × v / t
F- f = m ×
F- f = m × v²/d
Therefore,
F- f = mv² / d
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A car accelerates uniformly from 20mph to 50mph in 3 seconds. What is its acceleration during this time
A = (v-u)/t, where an is acceleration, v is final speed, u is initial speed, and t is time, is the equation for acceleration. When the values are filled in, we obtain a = (60-20)/5 or an is 8 m/s2.
How is acceleration determined?The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t). This enables you to calculate the change in velocity in meters per second squared (m/s2).
How quickly does the time go from 0 to 2 seconds?+2 m/s2
If there is no change in velocity between 2 and 3 seconds, the acceleration is 0 m/s2. The acceleration is +2 m/s2 over the first 0 to the second interval. The acceleration is zero between seconds two and three. The acceleration is -3 m/s2 throughout the three to six-second period.
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A small cart on a 5.0-m long air track moves with a speed of 0.75 m/s. Bumpers at either end of the track cause the cart to reverse direction and maintain the same speed. Find the period and frequency of this motion.
The frequency of the cart's motion for a distance of 10.0 meters is 0.075 Hz (Hertz), which means the cart completes 0.0775 round trips per second.
1) Period (T):
The period (T) is the time taken for one complete round trip. The cart travels from one end to the other and back in one round trip.
T = (distance/speed)
T = (10.0 / 0.75 )
T = 13.33 seconds
So, the period of the cart's motion for a distance of 10.0 meters is approximately 13.33 seconds.
2) Frequency (f):
The frequency (f) is the number of complete round trips per unit time. It is the reciprocal of the period.
f = 1 / T
f = 1 / 13.33
f = 0.075 Hz
So, the frequency of the cart's motion for a distance of 10.0 meters is approximately 0.075 Hz (Hertz), which means the cart completes approximately 0.0775 round trips per second.
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What are the 5 types of electrical incidents?
Electrical burns can occur in a variety of ways, including arc burns, low voltage burns, high voltage burns, mouth burns, flash burns, and flame burns.
What are electrical incidents?Electric shock, a serious electrical mishap, or a fatal electrical event are all considered electrical incidents.
For the purposes of reporting and analysis, incident definition types let you attribute the appropriate type to safety events. Having only the two types of incidents—Accident and Near Miss—is one strategy.
An occurrence or scenario that has a number of serious repercussions and necessitates the implementation of special measures by one or more emergency responder agencies is referred to as a big incident.
Any electrical incident that results in or has the potential to result in: death or serious bodily harm to a person; significant property damage; or a serious risk to the public safety must be reported, according to the Electrical Safety (General) Regulations of 2019.
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Assume air resistance is negligible unless otherwise stated. Calculate the displacement in m and velocity in m/s at the following times for a rock thrown straight down with an initial velocity of 14.4 m/s from the Verrazano Narrows bridge in New York City. The roadway of this bridge is 70.0 m above the water. (Enter the magnitudes.) (a) 0.500 s displacement m velocity m/s (b) 1.00 s displacement m velocity m/s (c) 1.50 s displacement m velocity m/s (d) 2.00 s displacement m velocity m/s (e) 2.50 s displacement m velocity m/s
Answer:
(a) 0.500 s displacement 70.0 m - 7.2 m velocity 7.2 m/s
(b) 1.00 s displacement 70.0 m - 28.8 m velocity -13.6 m/s
(c) 1.50 s displacement 70.0 m - 57.6 m velocity -20.4 m/s
(d) 2.00 s displacement 70.0 m - 92.8 m velocity -24.0 m/s
(e) 2.50 s displacement 70.0 m -134.4 m velocity -25.2 m/s
A tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. How fast was the truck traveling horizontally through its flight
A tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. The truck will travel at -78.1 m/s and its time of flight is 17.44 seconds.
Distance of any body or an object is the total path covered by it in a particular time. We can calculate the distance of any object covered by it using the equations of motion in our question. we can also convert equation of motion in our favor to find our answer in a proper format to find our answer by the proper use of equation of motion. By this information we can formerly consider that a tornado lifts a truck 252 m above the ground. As the storm continues, the tornado throws the truck horizontally. It lands 560 m away from where it was picked up. The truck will travel at -78.1 m/s and its time of flight is 17.44 seconds.
Initial velocity = 0 , initial height = 252
[tex]dy = u\times t + \frac{1}{2} at^{2}[/tex]
[tex]dy = u\times t +0.5 gt^{2}[/tex]
[tex]252 =0+ 4.9t^{2}[/tex]
t = 7.17 seconds
horizontal:
v = [tex]\frac{dx}{t} =560\times7.17=[/tex]=78.103 m/s
To the nearest tenth; 78.1 M/s
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A 2.5 kg block is initially at rest on a horizontal surface. A horizontal force of magnitude 6.0 N and a vertical force are then applied to the block (Fig. 6-17). The coefficients of friction for the block and surface are ms 0.40 and mk 0.25. Determine the magnitude of the frictional force acting on the block if the magnitude of is (a) 8.0 N, (b) 10 N, and (c) 12 N.
Kinetic friction force, or f k = k F N = 3.1N, is the amount of frictional force acting on the block.
Static friction is the friction that exists between two systems when they are in contact and immobile with respect to one another. Kinetic friction is the term for the resistance that exists between two systems while they are in contact and moving in relation to one another.
Calculation:Either static or kinetic friction We decide on +x right and +y up. Applying Newton's second law to these axes:
F−f=ma
P+F n −mg=0
where F=6.0 N and m=2.5 kg is the mass of the block.
(a) P=8.0 N in this scenario results inF N =(2.5kg)(9.8m/s 2 )–10N=14.5N.
This implies ,fs, max =μ s F N=6.6N, which is larger than the 6.0N rightward force. The block, which was previously at rest, stays in place as a result.
Putting a = 0
f=P=6.0 N is the static friction force that results from plugging the first of our equations above.
(b) With P=10 N in this instance, the normal force isThis suggests that, fs, max = s F N =5.8N, which is smaller than the 6.0 N rightward
force, which causes the block to move. Therefore, we are working with kinetic data instead of static data.
Eq. reveals that friction is f k = k F N =3.6 N.
(c) In the last scenario, P=12 N results in FN=12.5 N and fs, max = s F N = 5.0N.which (as expected) is less than the 6.0 N rightward force. Thus, the block moves. The kinetic friction force, then, is f k =μ k F N =3.1N.
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Definition: This is the rate of distance traveled per unit of time, without regard to direction.
Example: 55 miles per hour on the highway
A visual representation of speed. It can also be used to denote speed. Without taking into account orientation, this is the rate of distance covered in a given amount of time.
What is speed?The speed and direction of a particle's motion are both considered to be the particle's velocity. The distance travelled as well as the direction it is veering.
While velocity refers to both the speed and direction of an object's motion, speed is only the rate at which an object moves along a path over time. In other words, velocity is a vector, but on the other hand speed is a scalar value.
We know that velocity is a vector quantity since it has both a magnitude and a direction. However, speed just has a magnitude and no direction, therefore it.
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If the material fails when the average normal stress reaches 120 psi, determine the largest centrally applied vertical load p the block can support
Determine the highest centrally applied vertical load p the block can support if the material breaks when the average normal stress reaches 120 psi.
What is meant by material?Objects are made of material, which is a substance or combination of substances. Material can be either pure or impure, made of living things or inanimate objects. Materials can be categorized based on their chemical and physical makeup, as well as their geological or biological origin.The term "material" describes a substance used to create another object. Cloth or other things made of matter that are real-world objects are likewise considered to be materials. The adjective and noun material can be used in a wide variety of contexts.Students can choose to specialize in materials physics as part of their physics degree, which prepares them for high-tech jobs in fields including optical fibers, alternative energy sources, communications, transportation, electronics, and medicine.To learn more about material refer to:
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