a gm corvette travels due east with a speed of 122 km/hour. the raindrops fall down vertically with respect to the earth. if the raindrops make an angle of 35.00 with the vertical of the car, what is the velocity of the rain with respect to the earth?
The rain's speed relative to the car is Vrc = 89.28 km/h.
Equation :Given that the car is moving eastward and that raindrops are falling vertically with respect to the Earth at a constant speed,
Let us consider the x-axis in the East and n-axis in the vertically upward direction. Now the x component of the car velocity relative to the earth is
Vceₓ = 122 km/h
Vceₓ = 33.89 m/s
n component of the car velocity relative to the earth is
Vceₙ = 0 m/s
x component of the raindrops velocity relative to the earth is
Vreₓ = 0 cos45°m/s
Vreₓ = - 3.68 m/s
n component of the raindrops velocity relative to the earth is
Vreₙ = ?
calculate the drop's velocity in relation to the earth
tanθ = Vreₙ / Vreₓ
Vreₙ = Vreₓ x tanθ
Vreₙ = 33.89 m/s x tan60°
Vreₙ = 58.69 m/s
Vreₙ = -211.28 km/h
And hence, the rain's speed relative to the car is
Vrc = Vce + Vre
Vrc = 122km/h - 211.28 km/h
Vrc = 89.28 km/h
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a box weighing 500n is at rest on the floor. a person pushes against it and it starts moving when 100n force is applied to it. what can be said about the coefficient of kinetic friction between the box and the floor?
The coefficient of kinetic friction between the box and the floor is 0.2.
The direction of the kinetic friction force between the box and the floor is the opposite of the velocity, as depicted in the free body diagram on the attached picture.
The second Newton's law of motion:
∑ F = m. a
Let F1 be the person force and f be the kinetic friction force.
Since the box is just about to move, it means a = 0.
F1 - f = 0
f = F1 = 100 Newton
Let N be the normal force and w be the weight of the box.
In the vertical direction:
N - w = 0
N = w = 500 Newton.
It is known that:
f = μ . N
Where: μ = coefficient of kinetic friction.
Hence,
μ . N = 100
μ = 100/N = 100/500 = 0.2
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derive an expression for the speed v of the object just before it strikes the ground for general α0 . express your answer in terms of some or all of the variables v0 , α0, h, and the acceleration due to gravity g.
The speed of the object just before it hits the ground will be equal to,
v = √ ( v₀² + 2 g H )
What are newton's equations of motion?Equations of motion describe the concept of the motion of an object such as the position, velocity, or acceleration at various times. Three equations of motion are derived for the motion of an object in 1D, 2D, and 3D.
To derive components are displacement(s), velocity, time(t), and acceleration(a). :
The 1st equation of motion is : v = u + at
The 2nd equation of motion is : S = ut + (1/2)at²
The 3rd equation of motion is : v² = u² + 2 g S
Given, the initial velocity of an object u = v₀ in an upward direction so it will be negative, u = - v₀
The displacement of an object is the height of the object from the ground S = H and It is downward so it will be positive.
The acceleration = g as the object moving towards the ground ( positive in downwards ). The final velocity of the object is V before it hits the ground.
Using the 3rd equation of motion to find the velocity of the object,
v² = u² + 2 g S
v² = (- v₀ )² + 2 g h
v = v₀² + 2 g H .
v = √ ( v₀² + 2 g H )
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Physics Suppose that, while in a squatting position, you stand on your hands, and then you pull up on your feet with a great deal of force. You are applying a large force to the bottoms of your feet, but no matter how strong you are, you will never be able to lift yourself off the ground. Use your understanding of force and motion to explain why this is not possible.
Explanation:
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a school bus slows to a stop with an average acceleration of -2m/s. the bus had an initial speed of 10m/s how long will it take the bus to come to a stop
It will take 2.5 seconds for the school bus to come to stop.
The initial velocity U of the School bus is 10m/s. As the bus has to come to stop, the final velocity V of the school bus will be 0 m/s.
The Acceleration a is -2m/s² and constant.
Because the Acceleration is constant. We can use the equations of motion,
Let say the School bus stopes after Reaching a distance D.
So, applying the equation of motion,
V = U + at
0 = 10 - 4t
-10 = -4t
t = 2.5 seconds.
So the school bus will come to stop after 2.5 seconds.
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A car starts from rest and accelerates uniformly over a time of 5.21 seconds for a distance of 110.0 m.
Determine the acceleration of the car.
Answer: a = 8.10 m/s^2
Explanation:
The car starts at rest, so:
V0= 0m/s
t= 5.21m/s
S = 110.0 m
Using one of the five uniformly accelerated motion formulas
S= V0t + 1/2 at^2
but V0 = 0 m/s
S = 1/2 at^2
a= 2S/ t^2
a = 2(110m)/ (5.21 s)^2
a = 8.10 m/s^2
suppose a boat moves at 16.4 m/s relative to the water. if the boat is in a river with the current directed east at 2.30 m/s, what is the boat's speed relative to the ground when it is heading east, with the current, and west, against the current? (enter your answers in m/s.)
The boat's speed relative to the ground when it is heading east with the current is 18.7 m/s and west against the current is -14.1 m/s.
In the first case,
The velocity of the boat concerning water= 16.4 m/s
The velocity of the water concerning ground= 2.3 m/s
By using the formula of relative velocity:
V(b, g)= V(b, w) + V(w, g)
V(b, g)= 16.4i + 2.3i m/s
V(b, g)= 18.7i m/s
Hence, the magnitude of the velocity of the boat concerning the ground is 18.7 m/s along the current.
In the second case,
The velocity of the boat concerning water is -16.4 m/s
The velocity of the water concerning the ground is 2.3 m/s
By using the formula for relative velocity:
V(b, g)= V(b, w) + V(w, g)
V(b, g)= -16.4i + 2.3i
V(b, g)= -14.1i m/s
Hence, the magnitude of the velocity of the boat concerning the ground is -14.1 m/s against the current.
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Determine whether each statement describes a solid, liquid, or gas
Answer:
1.solid
2.gas
3.liquid
4.liquid and gas
5.gas
6.liquid
7.gas
8.liquid and gas
Which of the following correctly completes box #2 in the chart above?
City - A city is defined as a group of people living in one place within a county sharing many common characteristics, especially the system of government. Cities are part of counties and counties are part of states.
A 2D column chart shows the evolution of a data series over time or compares multiple items. Element types are arranged horizontally and data values are displayed vertically to emphasize changes over time. Scatter charts have two value axes. It displays one set of numerical data along the horizontal axis and another set along the vertical axis.
Combine these values into individual data points and display them in irregular intervals or clusters. The main function of charts is to display data and explore topics in more detail. Charts are used when a simple table cannot adequately represent important relationships or patterns between data points.
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3. Over which of the following time intervals is
the acceleration of the object the greatest?
A. 0 s to 1 s
B. 1 s to 2 s
C. 2 s to 3 s
D. 4 s to 5 s
Answer:
A. 0s to 1s
Explanation:
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a beam of white light is focused on a wafer of a semiconductor. nothing is detected coming through the other side. which semiconductor(s) could it be, and why?
It would be a diode, also called a rectifier. It's used in electronic circuits to control the flow of current between two points.
Individual electronic parts, such as resistors, transistors, capacitors, inductors, and diodes, are connected by conductive wires or traces that allow electric current to pass through them to form an electronic circuit. It is a particular kind of electrical circuit, and typically at least one active component is required for it to be called an electronic circuits as opposed to an electrical one. Signals may be amplified, calculations can be made, and data can be sent from one location to another thanks to the combination of components and connections.
Typically, an electronic circuits can be classed as an analogue, digital, or mixed-signal circuit within rectifiers. The MOSFET is the semiconductor component utilised in electronic circuits the most (metal-oxide-semiconductor field-effect transistor).
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all of the following are true of neutral hand position except the . a. palm of the hand is held in an open and relaxed position b. fingers apply light pressure against the instrument handle c. little finger side of the palm is rotated slightly downward d. index finger and thumb are flattened against the handle
The correct answer is option D: index finger and thumb are flattened against the handle
All of the following are true of neutral hand position except the index finger and thumb are flattened against the handle.
When the wrist is straight or lightly bent then it is said to be in a neutral position.
Our neutral hand position refers to the palm of the hand being held in an open and relaxed position.
Similarly, the hand will be in a neutral position if the fingers apply light pressure against the instrument handle.
Another example is if we hold a glass full of water, then we will see that our thumb and forearm are aligned with respect to each other.
In the above-mentioned case, the hand will be in a neutral position.
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1. A scientist wants to test the sleeping effects of a mild animal tranquilizer on two of his
pet rats. He decides that he will put them in two cages of the same size and shape and
place them in the same area of his lab for 24 hrs. He decides that he is going to turn the
lights on at 5am and turn the lights of at 8pm each day. He feeds both rats lunch each day
at noon and chops up 5mg of animal tranquilizer into their food. He notes that at about 5pm
both rats fall asleep and wake up at about 5am the following day. He continues this
procedure for 15 days and notes the same pattern each day. He concludes that his study
shows that the animal tranquilizer will cause all animals to fall asleep at 5pm for a total of
12 hrs.
Did this experiment give accurate results? Why or why not?
The experiment is not accurate since the both rats get the tranquilizer and there is no control setting.
What is an experiment?The quest for data and information is what would cause a scientist to perform an experiment. We know that an experiment is one that an experiment is one that we have to find the effect of the independent variable on the dependent variable.
In this case, the independent variable is the administration of the dose of the drug while the dependent variable is the number of hours that the pet rats are made to sleep.
Let us note that an experiment ought to have a control setting. The control setting of the experiment is what would serve to validate the experiment as we know. We can see that this experiment does not have a control setting therefore it is not accurate. This experiment would need to be reviewed a control setting should be added.
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1) [30 points] find the rotation matrix after a clockwise rotation of 240 o about an axis that describes equal angles with respect to the original coordinate axes. 2) [30 points] at a given time two point charges q1
Since, ABCDEF is a regular hexagon,
The measure of the central angle of a regular polygon = [tex]\frac{360}{n}[/tex]
where n = number of sides of the polygon
The measure of the central angle of a regular hexagon =[tex]\frac{360}{6}[/tex] = 60°
That means when we rotate a regular hexagon by an angle in the multiple of 60°, the hexagon overlaps itself.
Therefore, by the rotation of 240° clockwise, point C will replace the position of point A.
The image of hexagon ABCDEF will become CDEFAB.
A rotation matrix is a transformation matrix in linear algebra that is used to make a rotation in Euclidean space. Rotation matrices depict rotations about the origin since matrix multiplication has no effect on the zero vector (the coordinates of the origin). Rotation matrices provide an algebraic description of such rotations and are widely utilized in geometry, physics, and computer graphics computations. In some publications, the term rotation is broadened to cover improper rotations, which are defined by orthogonal matrices with determinants of 1 (rather than +1). These incorporate appropriate rotations and reflections (which invert orientation). In other circumstances, where reflections are not taken into account, the label proper may be omitted. This article adheres to the later convention.
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which car has a westward acceleration? a. a car moving west at constant speed. b. a car moving east and speeding up. c. a car moving east and slowing down. d. a car moving west and slowing down
C. If a car has a westward acceleration, the car moving east and slowing down.
What is westward acceleration?
Westward acceleration is the acceleration of an object directed towards the west of the object's motion.
The acceleration of an object is defined as the change in the velocity of an object with time.
Mathematically, the acceleration of an object is given as;
a = Δv/Δt
where;
Δv is change in velocity of the objectΔt is change in time of motion of the objecta = (v - u) /t
where;
v is the final velocityu is the initial velocityWhen the car is slowing down, it implies that the final velocity is smaller compared to the initial velocity.
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starting from the sum (3.31) and replacing it by the appropriate integral, find the moment of inertia of a uniform thin square of side 2b, rotating about an axis perpendicular to the square and passing through its center.
The electron binding energy for gold essence is. find the longest wavelength( in) of light that could eject electrons from gold in a photoelectric effect trial.
Electron
The electron is a subatomic flyspeck( denoted by the symbol whose electric charge is negative one abecedarian charge. Electrons belong to the first generation of the lepton flyspeck family, and are generally allowed to be abecedarian patches because they've no given factors or substructure. The electron's mass is roughly 1/ 1836th that of the proton.
Quantum mechanical parcels of the electron include an natural angular instigation( spin) of a half- integer value, expressed in units of the reduced Planck constant, ħ. Being fermions, no two electrons can enthrall the same amount state, in agreement with the Pauli rejection principle. Like all abecedarian patches, electrons parade parcels of both patches and swells They can collide with other patches and can be diffracted like light. The surge parcels of electrons are easier to observe with trials than those of other patches like neutrons and protons because electrons have a lower mass and hence a longer de Broglie wavelength for a given energy.
Electrons play an essential part in multitudinous physical marvels, similar as electricity, captivation, chemistry and thermal conductivity, and they also share in gravitational, electromagnetic and weak relations. Since an electron has charge, it has a girding electric field, and if that electron is moving relative to an bystander, said bystander will observe it to induce a glamorous field.
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a sled (mass 500 kg) is pulled across a stone floor with a coefficient of kinetic friction of 1.7. the rope that is used to pull it is at an angle $\alpha$ of 55 degrees with the horizontal. when the sled moves at a constant velocity (i.e., no acceleration), the normal force that the floor exerts on the sled is ...
The normal force that the floor exerts on the sled is 7557 N when is pulled across a stone floor with a coefficient of kinetic friction of 1.7.
What is kinetic friction and how the normal force is calculated to be so?Friction, is a very well-known word in our daily lives, though putting it a little more officially it is the force due which any vehicle, man, or something grips the floor.Friction is of two types kinetic and static, static friction is the friction that opposes the motion and kinetic friction is the friction that regulates the motion.Here using the formula F = - Uk mg/cos θ - Uksin θ
= -1.7 x 500 x 10/ cos55° - 1.7 sin 55°
= 7557 N
The normal force of 7557 Newton is exerted on the floor by the sled.
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the speed of light is . how far does light travel in ? set the math up. but don't do any of it. just leave your answer as a math expression. also, be sure your answer includes all the correct unit symbols.
Using speed and distance relation, It take the speed of 299 m to travel 30 cm .
What is speed ?speed is the rate at where someone or something moves is able to operate.
Let us convert cm to m for distance
C = 2.998× 10^8 ms
The relationship between distance, speed, and time is
T =1 ×10^6/8
Because in this case you are being asked how long or time it takes, make it the subject.
Rounding the quotient produces.
Adjust it again to fit the scientific notation.
The result is -
d= c×t
d=2.998×10^8 m/s 10^6 m/s
d=2.998
As a mathematical expression, the time taken for light is 2.998
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a piston-cylinder assembly contains water and is being heated on top of a range. during the process, 65 btu of heat is transferred to the water, and heat losses from the side walls amount to 8 btu. the piston rises as a result of evaporation, and 5 btu of work is done by the vapor. determine the change in the energy of the water for this process.
The change in the energy of the water in the process is 52Btu, when 65 btu of heat is transferred to the water and heat losses from side walls.
What is change in energy and heat and how the change in energy is calculated out to be 52 Btu?Energy is the quantity which represents the product of power and time, with release of considerable amount of heat.Change in energy is the change in the energies of the components involved in the equation.Here , we will use the equation , del U = del Q + del W , substituTing the values , 57 Btu for del Q and -5Btu for del W.Del U = 57Btu - 5Btu = 52Btu , hence the change in the energy is calculated for a piston- cylinder assembly containing water and is heated.To know more about energy visit:
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compare the magnitude of the acceleration of the object that you calculate from your measurements to the ""centripetal acceleration"" that you can calculate from the speed and the radius of the object.
The magnitude of the acceleration of the object that can be calculated from the measurements is compared to the "centripetal acceleration" that can be calculated from the speed and the radius is [tex]a_{c}[/tex] = r ( α t )²
The magnitude of the acceleration of the object that can be calculated the measurements is Angular acceleration. If angular velocity and time are given,
α = ω / t
α = Angular acceleration
ω = Angular velocity
t = Time.
[tex]a_{c}[/tex] = v² / r
[tex]a_{c}[/tex] = Centripetal acceleration
v = Tangential velocity
r = Radius
Rearranging angular acceleration formula as,
ω = α t
v = r ω
[tex]a_{c}[/tex] = v² / r
[tex]a_{c}[/tex] = ( r ω )² / r
[tex]a_{c}[/tex] = r² α² t² / r
[tex]a_{c}[/tex] = r ( α t )²
This is the relation between angular acceleration and centripetal acceleration.
Therefore, the comparison is [tex]a_{c}[/tex] = r ( α t )²
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A race car travels on a racetrack at 44 m/s and slows at a constant rate to a velocity of 22 m/s over 5.5 seconds. How far does it move during this time?
The distance traveled by the race car would be 181.5 meters,
What are the 3 equations of motion?First equation of motion: v = u + at.Second equation of motion: s = ut + 12 at2Third equation of motion: v2 = u2 + 2as.Equations of motion are used to describe how a physical system behaves in terms of how its motion changes over time. The behavior of a physical system is described in more detail by the equations of motion as a collection of mathematical functions expressed in terms of dynamic variables. These variables typically consist of space, time, and sometimes elements of momentum. Generalized coordinates, which can be any useful variable a part of the physical system, are the most versatile option. In classical mechanics, the functions are defined in a Euclidean space; in relativity, curved spaces are used instead. The equations are the answers to the differential equations describing the motion of the dynamics if the dynamics of a system are known.To learn more about : Equations of motion
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all falling objects experience some air resistance, the effect of which is to decrease acceleration. when the falling object's acceleration reaches zero, the acceleration stops changing. therefore, if you drop an object and it falls far enough for this to happen,
The object's speed reaches a maximum value and stays there if you drop it and it falls far enough for this to occur.
The speed of an object, also known as v in kinematics, is a scalar quantity that refers to the size of the change in that object's position over time or the size of the change in that object's position per unit of time. An object's average speed during a period of time is calculated by dividing its distance traveled by the length of the interval, the instantaneous speed is the maximum possible speed as the interval's duration gets closer to zero. Velocity and speed are different concepts.
Distance divided by time is the dimension of speed. Although the meter per second (m/s), the SI measure of speed, is the most often used unit of speed.
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After looking at sound waves in this way, why do you think people prefer to view sound waves transverse waves rather than
longitudinal?
If a wave is longitudinal that means that it is travelling in the exact same direction, at the exact same angle as the medium in which it is propagating. You can think of it like a stretched out slinky. If you push the slinky forward a little and then pull it back to its original position, a wave travels in the direction of the slinky's coils. Sound waves are just like that but the medium is all the particles that constitute air.
Two vehicles have a head-on collision. The vehicles essentially stick together and travel a certain distance for 20 seconds before coming to a complete stop. You are able to obtain the mass of both vehicles, the initial velocity for Vehicle A, and the final velocity for both vehicles immediately after the crash. Can you determine the momentum of both vehicles before the collision?
The answer is yes because of conservation of momentum. That is, the momentum before collision is equal to the momentum after collision.
What is Momentum ?Momentum is the product of mass and velocity. It is a vector quantity. And it is measured in Kgm/s
If two vehicles have a head-on collision, the vehicles essentially stick together and travel a certain distance for 20 seconds before coming to a complete stop. The final velocity for both vehicles immediately after the crash can be obtain by using the formula
v = u - at
Where
v = final velocityu = initial velocitya = accelerationt = timeIf you are able to obtain the mass of both vehicles, the initial velocity for Vehicle A, and the final velocity for both vehicles immediately after the crash, then you can determine the momentum of both vehicles before the collision by calculating the momentum of both after the collision because momentum is always conserved.
Or by first calculating the initial velocity for vehicle B by using the formula below
[tex]M_{1}U_{1} - M_{2}U_{2} = (M_{1} + M_{2} )V[/tex]
where
M1 = mass of the first objectU1 = initial velocity of the first objectM2 = mass of the second objectU2 = initial velocity of the second objectV = common final velocityAfter we obtain initial velocity for vehicle B, we can calculate the momentum of both vehicles before the collision
Therefore, the momentum of both vehicles before the collision can be determined.
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20 points!! Pls help
An object has a mass of 40 kilograms. What is its weight on the Moon? (The acceleration due to
gravity on the moon is 1.8 m/s².)
Select one:
a. 72 newtons
B. 97 newtons
c. 108 newtons
d. 235 newtons
Answer: [tex]w=72N[/tex]
Explanation:
[tex]m=40\ kg\\g=1.8\ m/s^2\\w=mg\\w=40*1.8\\w=72N[/tex]
specifications require the oil filter for your car to be tightened with a torque of 30 n⋅m. you are using a 15-cm-long oil filter wrench, and you apply a force at the very end of the wrench in the direction that produces maximum torque. part a how much force should you apply?
The oil filter for our car to be tightened with a torque of 30 n⋅m. we are using a 15-cm-long oil filter wrench, and we apply a force at the very end of the wrench in the direction that produces maximum torque is 200N.
What is a force?A force is an effect that can alter an object's motion according to the physics. A force can cause object with mass to accelerate when it changes its velocity, for as when it moves away from rest. An obvious way to describe the force is as a push or a pull. A force is a vector quantity since it has both the magnitude and direction. It is calculated using newton SI unit (N). Force is denoted by the letter F. (formerly P).
The net force acting on an object is equal to rate at which its momentum varies over time, according to Newton's second law in its original formulation. This law suggests that object's acceleration is directly proportional to the net force acting on it, is in the direction of the net force, and is inversely proportional to the mass of the object if the object's mass is constant.
Thrust, which increases an object's velocity; drag, which decreases an object's velocity; and torque, which causes the changes in an object's rotational speed, are all concepts connected to force. Each part of an extended body often exerts the stresses on the sections that are nearby; the distribution of these forces throughout the body is what is known as the internal mechanical stress. Due to the balance of forces, such internal mechanical stresses do not generate acceleration of that body. Pressure is a straightforward form of the stress that, if unbalanced, can cause the body to accelerate. Pressure is distribution of several small forces applied over an area of a body. Stress typically results in flow of fluids or the deformation of solid materials.
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a force of 5.0 n is applied to a point object at 30o with the horizontal. another force of 10.0 n is applied at 120o . a) determine the net force (the magnitude and angle)
The net force calculated is 5 N. The total of all forces exerted on an object is known as the net force. A mass can accelerate due to net force. A body is subject to another force whether it is at rest or in motion.
The combined effect (the sum) of all pushing and pulling forces that are really operating on an object is known as the net force. An object will accelerate in the direction of the net force if the pushing and pulling forces acting on it are not equal (a net force acts).When there are a lot of forces acting on a system, the term "net force" is employed.
We now have a 30° - 60° /90° right triangle because this force does produce a 30° angle with the y-axis.
The force of 10N (hyp.) or sin 30 = x/10N
x = 10N sin 30
x = 5 N is used to find the magnitude of x.
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With the aid pf sketch explain uniform speed and uniform velocity
If a body covers equal distances in equal intervals of time it has uniform speed. If a body covers equal displacement in equal intervals of time it has uniform velocity.
Speed is the rate of change of an object's position with respect to time in any direction. An object will have uniform speed, if the speed of the object remains constant and not varying.
Velocity is the rate of change of an object's position with respect to time in a particular direction. Uniform velocity is a condition in which a body covers equal displacements in equal intervals of time.
Therefore, if a body covers equal distances in equal intervals of time it is said to have uniform speed and if it covers equal displacement in equal intervals of time it is said to have uniform velocity.
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A toy plane is displaced 12m to the right and then 16m upward.
What is the magnitude of the resultant displacement?
a metal sphere is half-filled with ammonia as part of a refrigeration device. if the radius of the sphere is 0.5 m, and the density of ammonia is 0.86 kg/m3, what is the mass of the ammonia?
The mass of the ammonia is equal to 0.215 kilograms.
How to calculate the mass of ammonia?First of all, we would have to determine the volume of the metal sphere which is half-filled with ammonia. Mathematically, the volume of a sphere can be calculated by using this formula:
Volume = 4/3 × πr³
Where:
r represents the radius.
Substituting the given parameters into the formula, we have;
Volume of metal sphere = 4/3 × 3 × 0.5³
Volume of metal sphere = 4/3 × 3 × 0.125
Volume of metal sphere = 4 × 0.125
Volume of metal sphere = 0.5 cubic meter.
For the volume of ammonia, we have:
Volume of ammonia = 0.5/2
Volume of ammonia = 0.25 cubic meter.
Mathematically, the mass of a substance can be calculated by using this formula:
Mass = Density × Volume
Mass = 0.86 × 0.25
Mass = 0.215 kilograms.
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