The amount of work done, given that the block moved to a distance of 3 m is 38.97 J
How to determine the work doneWork is defined as the product of force and distance moved in the direction of the force.
Work done (Wd) = force (F) × distance (d)
Wd = fd
Considering angle projection,
Wd = FdCosθ
With the above formula, we can detertmine the work done as follow:
Mass (m) = 10 KgForce (F) = 15 NAngle (θ) = 30°Distance (d) = 3 mWorkdone (Wd) =?Wd = FdCosθ
Wd = 15 × 3 × Cos 30
Wd = 45 × Cos 30
Wd = 38.97 J
Therefore, we can conclude that the work done is 38.97 J
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A string tied to a rock is being twirled around Fred's head at . If the rock has a mass of 500 g and the string is 50 cm long, what is the tension in the string?
247 N
15.7 N
2467 N
6.25 N
A. The tension in the string being twirled around Fred's head is 247 N.
What is the centripetal acceleration of the rock?The centripetal acceleration of the rock twirled around Fred's head is calculated as follows.
a = ω²r
where;
a is the centripetal accelerationω is the angular velocity of the rockr is the radius of the circular pathThe angular velocity of the rock = 5 rev/s x 2π rad/rev = 10π rad/s = 31.42 rad/s
Substitute the value of the angular velocity and radius of the circular path and calculate the centripetal acceleration.
a = (31.42)² x (0.5)
a = 493.6 m/s²
The tension in the string = ma
= (0.5 kg) x (493.6 m/s²)
= 246.8 N ≈ 247 N
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The complete question is below:
A string tied to a rock is being twirled around Fred's head at 5 cycles/s . If the rock has a mass of 500 g and the string is 50 cm long, what is the tension in the string?
PLEASE THIS IS URGENT!!! I'M STUCK ON THIS QUESTION AND THIS IS MY LAST RESORT!!!!! How do mass and distance affect the gravitational pull of an object?
Answer: The force of gravity depends directly upon the masses of the two objects, and inversely on the square of the distance between them. This means that the force of gravity increases with mass, but decreases with increasing distance between objects.
Explanation: Hope this helps. : )
An investor purchased 50 shares of
stock in a company for $20 per
share. One year later, the investor
sold all the shares for $925. What is
the investor's rate of return?
A. 7.5%
C. -7.5%
B. -8.1%
D. 8.1%
Answer:
B
Explanation:
What is the magnitude of the relative angle φ
with which the ski jumper hits the slope?
The magnitude of the relative angle φ with which the ski jumper hits the slope
φ=14.08
This is further explained below.
What is the magnitude of the relative angle?Generally, the equation for time is mathematically given as
[tex]t = \frac{(2V tan \theta)}{g} \\\\t = \frac{2 * 24 * tan 59}{9.8}[/tex]
t = 8.152 s
The formula will now provide the slope of the flight path at the time of impact;
tan = V y / V x
V_y = 9.8 * (8.152)
V_y= 78.89 m/s
In conclusion,
[tex]tan \alpha = \frac{78.89}{24}[/tex]
[tex]tan \alpha = 3.2871[/tex]
[tex]\alpha= 73.08°[/tex]
Hence
φ=[tex]\alpha - \theta[/tex]
=73.08-59
φ=14.08
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The complete question is;
A ski jumper travels down a slope and leaves the ski track moving in the horizontal direction with a speed of 24 m/s. The landing incline below her falls off with a slope of θ = 59◦ . The acceleration of gravity is 9.8 m/s².
What is the magnitude of the relative angle φ with which the ski jumper hits the slope? Answer in units of ◦
A block of wood has a mass of 120 g
and a volume of 200 cm³. What is the density of
the wood?
Answer: 0.6 g /cm^3
Explanation:
Just plug in the value in the equation d=m/v and you will get the answer!
bryan allen pedaled a human-powered aircraft across the english channel from the cliffs of dover to cap gris-nez on june 12, 1979. (a) he flew for 169 min at an average velocity of 3.53 m/s in a direction 45° south of east. what was his total displacement? (enter the magnitude in km and the direction in degrees south of east.)
The total displacement is 3.58 kilometers to the south of the east. An object's total change in position is referred to as displacement, a vector variable that measures "how far out of place an object is."
A scalar quantity known as distance measures "how much ground an object has traversed" while moving. An object's total change in position is referred to as displacement, a vector variable that measures "how far out of place an object is. These factors provide the overall displacement: where,
The average speed is v.
Time has come.
The typical speed is:
v = 3.53 m/s
While the time must be changed from minutes to seconds:
t=169*60
=10140s.
Consequently, the displacement's size is
=3.53*10140
=35794 m
=3.58 km
Furthermore, since the direction and speed are identical, the direction is 45° south of east.
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-Three positive things about meditation?
-Why is it important?
-Three reasons why you should not eat junk food?
There are three positive things about meditation:
Gaining a new perspective on stressful situations.Building skills to manage your stress.Increasing self-awareness.Meditation helps you manage anxiety, stress, and depression.
There are three reasons you should not eat junk food:
One of the most common and perceivable effects of junk food is a rise in obesity in an individual.Learning and memory problems. Loss of appetite and digestion.
Meditation can increase alertness and focus but extremes can lead to insomnia and other sleep disorders. I also found it high Meditation is the habitual process of training the mind to focus and redirect one's thoughts. Meditation is growing in popularity as more people discover its many health benefits. You can use it to increase awareness of yourself and those around you.
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a charged particle a exerts a force of 2.62 n to the right on charged particle b when the particles are 13.7 mm apart. particle b moves straight away from a to make the distance between them 17.7 mm. what vector force does particle b then exert on a?
The force that the particle A exerts on the particle B, which is still to the right of it, points to the left.
What does a vector mean?A measurement with both magnitude and direction. It is often represented by an arrows whose length is proportional to the size of a quantity and whose orientation is the same as that of the quantity. An vector does not even have position, while having direction and magnitude.
Briefing:Lets look at the ratio of the forces of the same charges but at different distances
[tex]$\frac{F_1}{F_2}=\frac{k_e \frac{q_{A q_B}}{r_1^2}}{k_e \frac{q_A q_B^2}{r_2^2}}$[/tex]
[tex]$\frac{F_1}{F_2}=\frac{r_2^2}{r_1^2}$[/tex]
Pugging in our given values we get the force F2 as:
[tex]$F_2=\frac{r_1^2}{r_2^2} F_1$[/tex]
=(13.7mm)2/(17.7mm)2(2.62N)
=1.57 N
The force that the particle A exerts on the particle B, which is still to the right of it, points to the left.
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Jacob has 10 cars for his train. when they are all used, the train cannot make it up the hill. explain what jacob could do to answer this question: how many cars can the train pull up the hill?
To answer the question effectively, Jacob should use trail and error as a method. When doing so, he should be reducing the number of cars loaded in the train one after the other until he successfully make the train pull up the remaining cars.
For Jacob to answer this question and to find the number of cars that the train can pull up the hill, he should use a method know as trial and error. With the method, Jacob would want to decrease the number of cars loaded in the train one after the other, and should be pulling the train up after every trail.
The number of cars loaded in the train can be decreased by one for each case Jacob makes an attempt up to the time he successfully make the train pull up the hill.
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a torpedo fired from a submerged submarine is propelled through the water eit ha speed of 20.00m/s and explodes upon impact with a target 2000.0m away. if the sound of the impact in heard 101.4s after the torpedo was fired, what is the speed of sound in water
The speed of sound in water made by a torpedo with a speed of 20.00m/s and explodes upon impact with a target 2000.0m away is 19.72 m / s
v = d / t
v = Velocity
d = Distance
t = Time
d = 2000 m
t = 101.4 s
v = 2000 / 101.4
v = 19.72 m / s
Velocity of an object is the object's rate of change of position with respect to time. It is mostly denoted as m / s.
Therefore, the speed of sound in water is 19.72 m / s
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A movie stunt driver on motorcycle speeds horizontally off a 13 m high cliff at a speed of 20.8 m/s. How far (dx) from the base of the cliff will he land?
Use g= 9.8 m/s2 for the acceleration due to gravity.
Round your answer to two decimal places.
The horizontal displacement of the stunt diver from the base of the cliff is 33.9 m
What is time of motion?The time of motion of an object is the time taken for the object to travel from its initial position to the final position.
The time taken for the stunt diver to travel down the given height is calculated as follows;
h = vt + ¹/₂gt²
where;
v is the initial vertical velocity of the stunt diver = 0g is acceleration due to gravityt is the time of motion of the stunt diverh is height of fallh = ¹/₂gt²
2h = gt²
t² = 2h/g
t = √(2h/g)
t = √(2 x 13 / 9.8)
t = 1.63 seconds
The horizontal distance travelled by the stunt diver is calculated as follows;
X = Vₓt
where;
X is the horizontal distance of the stunt diverVₓ is horizontal speed of the stunt divert is the time of motionX = 20 .8 m/s x 1.63 s
X = 33.9 m
Thus, the displacement of the stunt diver from the base of the cliff is 33.9 m.
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A catapult shoots an object 1.65m at an initial velocity 15m/s. It is in the air for 0.33s What was their initial angle of launch?
With the use of the formula below, their initial angle of launch was 26.2°
What is a Projectile ?A projectile is any object that is projected into the air which take a trajectory path.
Given that a catapult shoots an object 1.65m at an initial velocity 15m/s. It is in the air for 0.33s. Their initial angle of launch can be calculated by using the formula
h = usinФt - 1/2gt²
Where
h = 1.65 mu = 15 m/st = 0.33sФ = ?Substitute all the parameters into the formula
1.65 = 15sinФ × 0.33 - 1/2 × 9.8 × 0.33²
1.65 = 4.95sinФ - 0.5336
Collect the like term
4.95SinФ = 1.65 + 0.5336
4.95SinФ = 2.184
SinФ = 2.184/4.95
SinФ = 0.4411
Ф = [tex]Sin^{-1}[/tex](0.4411)
Ф = 26.2°
Therefore, their initial angle of launch was 26.2°
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Why will a balloon filled with helium float in air?
A. Helium is a dense as air
B. Helium is denser than air
C. Helium is diatomic molecule
D. Helium is less dense than air
Answer:
D is the correct answer
Explanation:
Helium-filled balloons rise in the air because the density of helium is less than the density of air.
how close were your experimental results to the theoretical values? what experimental factors contributed to the error between experimental and theoretical measurements of specific heat?
Actual specific heat capacity would be less than the computed experimental specific heat capacity.
The experiment's measurement of water's specific heat capacity, c, is higher than the accepted value for c. This is because some heat was lost to the surroundings, causing the experimental temperature rise to be q smaller than the projected temperature rise.
The quantity of heat energy needed to raise the temperature of 1 kg of a material by 1 K is measured as specific heat capacity. It is crucial because it will show how much energy will be needed to raise or lower an object's temperature by a certain amount for a certain mass.
In this experiment, the primary source of error is heat loss by conduction. The conservation of energy serves as the theoretical foundation for this particular heat test. Energy can be in the form of heat, and in this instance, heat will be transported from the sample to the water.
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5. Modern houses have systems to control internal air temperatures in times of very cold or hot weather. In these homes, hot or cool air is pumped into the interior of the house to help keep the temperature comfortable. Based on what you know about how cool and warm air circulate in the atmosphere, what might an engineer need to consider when designing a heating/cooling system for a home in a cooler climate?
How might the design differ for a house found in a warmer climate?
The engineer should take into account the convective currents that cause higher temperature gases to rise and lower temperature gases to sink.
What is convection?Convection is a term that refers to the way in which heat is transmitted in a liquid or gaseous state as a consequence of the actual movement of particles at different temperatures. If this movement is due to the effect of gravitation, due to differences in density, it is called natural convection.
What might an engineer have to consider when designing a heating/cooling system for a house in a colder climate?The engineer must take into account that, due to their density, the hottest gases tend to rise, and the coldest gases descend. Therefore, he would have to find a way for the hot gases to leave the floor and circulate around the house so that it stays at a warm temperature.
How might the design of a house that is in a warmer climate differ?In the case of a house that is in a warmer climate the engineer should take into account convection because it can find a way in which the hot gases rise and are released through the roof of the house and keep the gases cold inside the house.
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which organism in this food web is an ominovere
Answer:
Omnivores generally occupy the third trophic level alongside meat-eating carnivores. Omnivores are a diverse group of animals.
Explanation:
Examples of omnivores include bears, birds, dogs, raccoons, foxes, certain insects, and even humans.
the volume of a stone having an irregular shape can be measured (a) meter rule (b) measuring cylinder (d) vernier calliper (d) micrometer screw guage
Answer:
B) Measuring cylinder
Explanation:
In the situation shown below, what will happen if the cannon fires a banana at the same time that the monkey falls from the tree? (Assume the banana has a high enough initial velocity to reach the tree on the fly.)
In the situation shown, if the cannon fires a banana aimed underneath the monkey at the same time that the monkey falls from the tree, the banana will fly below the monkey and miss.
In the presence of gravity, the banana will move in a parabolic path. As the monkey lets go of the tree, it will have a downwards acceleration due to the presence of gravity. But both the banana and the monkey will have the same amount of acceleration. Because gravity causes objects to accelerate at the same rate independent of their mass.
Since both the banana and the monkey experienced the same acceleration, both will fall equal amounts of distance below their gravity-free path. So the banana misses the monkey, moving below the monkey. The only way the banana hits the monkey is that if the cannon is aimed at the monkey.
Therefore, if the cannon fires a banana aimed underneath the monkey at the same time that the monkey falls from the tree, the banana will fly below the monkey and miss.
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If the output work is 500 J and the input work is 380 J, what is the machine efficiency?
Answer:
Therefore machine efficiency is 131.6%.
Explanation:
Data
work output = 500J
work input = 380J
M.E = ?
M.E = work output/work input × 100%
M.E = 500J/380J × 100%
M.E = 131.6%
Therefore machine efficiency is 131.6%.
HELP W 2 AND 3 PLEASE IMPORTANT!!
The maximum resultant of two vectors , one 10m/s and 20 m/s will be 22.36.
What is projectile motion?The movement of an object that has been launched into the air is known as projectile motion. Only gravity is felt by the item after the initial force that launches it. Projectile and trajectory both refer to the same thing: an object. Air resistance is the name for the frictional force that an object experiences as it moves through the air and slows it down. Air resistance does greatly change trajectory motion, but because it is difficult to calculate, it is not taken into account in basic physics.
The separation of horizontal and vertical motions is the most crucial idea in projectile motion.
We have given two velocities 10m/s and 20m/s. [tex]\sqrt10²+\sqrt20²[/tex] → √500 = 22.36 The maximum resultant will be 22.36. The bag fall straight down or not fly back to the plane because Everything in this world , when dropped from height it will only fall down towards are earth because of gravitational force .To learn more about Projectile motion refer
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.
Determine the acceleration of an object that can go from 0-60 m/s over the course of
1600 m.
Answer:
1.125 m/s^2
Explanation:
Given:
u = 0v = 60 m/sS = 1600 mTo Find:
Acceleration (a)Formula used:
v^2 = u^2 + 2aSwhere,
v = final velocity
u = initial velocity
a = acceleration
S = Displacement
Let the acceleration be a.
Using the above formula, we have
60^2 = 0^2 + 2(a)(1600)
3600 = 3200a
a = 36/32
a = 9/8
a = 1.125 m/s^2
So, the acceleration is 1.125 m/s^2.
a single loop of wire with an area of 9.01×10−2 m2 is in a uniform magnetic field that has an initial value of 3.65 t , is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.197 t/s .
(a) The electromotive force induced in the loop is 0.017 V.
(b) The ratio of induced electromotive force to loop resistance yields the current in the circuit.
How can we calculate emf induced in a loop?
The emf induced in the loop can be calculated using Faraday's law:
emf = dФ/dt ⇒ emf = A * (dB/dt)
where A represents the area of the loop and dB/dt is the change in magnetic field with time.
Therefore, using the above relation, emf induced= 0.0901 * 0.197= 0.017V
Again, using Ohm's law the current in the loop can be determined since
Current = emf/Resistance.
Thus,
(a) The electromotive force induced in the loop is 0.017 V.
(b) The ratio of induced electromotive force to loop resistance yields the current in the circuit.
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HELP THIS IS DUE TODAY who ever answers first (correctly and gives explanation will get brainly)
How much power does a cordless phone use if it draws 0.50 A of current at 6.0 V?
i need it in watts so please write it in forms of Watt
Answer:
3.0 W
I actually had this question before BUT I have no clue how to explain it. I haven't done this in so long. I apologize but that is the correct answer.
Answer:3.0 W
Explanation:
P=VI
P= (6.0 V) (5.0 A)
P= 3.0 W
How many seconds will it takes to stop？
In order to find the time it takes, first let's convert the distance from miles per hour to feet per second: calculate the acceleration using Torricelli's equation
[tex]40\text{ mph}=40\cdot1.467\text{ ft/s}=58.7\text{ ft/s}[/tex]Then, let's :
[tex]\begin{gathered} V^2=V_0^2+2\cdot a\cdot d\\ \\ 0^2=58.7^2+2\cdot a\cdot50\\ \\ 100a=-3445.7\\ \\ a=-34.46\text{ ft/s^^b2} \end{gathered}[/tex]Now, we calculate the time with the formula below:
[tex]\begin{gathered} \Delta S=V_0t+\frac{at^2}{2}\\ \\ 50=58.7t-17.23t^2\\ \\ -17.23t^2+58.7t-50=0\\ \\ t=\frac{-58.7\sqrt{58.7^2-4\cdot(-17.23)\cdot(-50)}}{2\cdot(-17.23)}\\ \\ t_1=t_2=1.7 \end{gathered}[/tex]Therefore the time required is 1.7 seconds.
Which of the following statements about conservation of mass is true?
The correct statement from above about the conservation of mass is: mass is conserved in both physical and chemical changes.
The correct answer choice is option c.
Understanding why mass mass is conserved in both physical and chemical changes.It follows that the law of conservation of mass states that: " matter can neither be created nor destroyed but changes from one form to another ". From this statement of the atomic theory, it then means that the mass of any substance remains the same in any state of matter, physical changes, chemical changes, before reaction and after reaction. Mass is neither created not destroyed.
The mass of matter is the same through out in both physical and chemical changes.
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a rocket test sled accelerates at a constant rate of 25 m/s2 from rest while moving along a straight track. the rocket engine turns off instantly when the sled reaches a speed 30 m/s. the sled then moves freely (acceleration
The total distance that the sled moved is 332.01 m.
How to find the total distance the sled moved?
Total distance s = s1 + s2 + s3
1st Case: Acceleration
u = 0 m/s
v = 37 m/s
a = 25 m/s²
Therefore, using the equation of motion:
[tex]v^{2} - u^{2} = 2as\\s = v^{2} - u^{2}/2a\\s = 37^{2} - 0^{2}/2 * 25\\s = 27.38m[/tex]
2nd Case: No Acceleration
t = 7 s
v = 37 m/s
[tex]s_{2} = v * t\\ s_{2}= 37 * 7 = 259m[/tex]
3rd Case: Deceleration
a = -15 m/s²
u = 37 m/s
v = 0 m/s
Therefore, using the equation of motion
[tex]v^{2} - u_{2} = 2as\\[/tex]
[tex]s = 0^{2} - 37^{2}/2 * -15 = 45.63m[/tex]
Therefore,
S = 27.38 + 259 + 45.63 m = 332.01 m
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a student is skateboarding down a ramp that is 6.0 meters long and is inclined at 28 degrees with respect to the horizontal. The ramps coefficient of friction is 0.323. The initial speed of the skateboarder at the top of the ramp is 2.6 m/s. What is the skateboarders speed at the bottom of the ramp? (Hint: Find acceleration)
How does a change in the solar constant impact the absorption of shortwave radiation and the emission of longwave radiation by the earth-atmosphere system?.
Answer:
Option - d This is trick question, since the solar constant never change. The gravity of the Sun keeps the planets in their orbits at all times. They stay in their orbits, since there is no other force in the Solar System which can stop them. Yeah this might help. Add to brainliest please
A skateboarder traveling at 7.0 meters per second rolls to a stop at the top of a ramp in 3.0
seconds. What is the skateboarder's acceleration?
The acceleration of the skateboarder is calculated out to bbe -2.33 m/s^2, when travelled at 7 meters per second.
What is acceleration and how it calculated out to be -2.33 m/s^2?As we have studied earlier also acceleration is the measure of change in velocity per unit time.Here is given the initial velocity 7 m/s , it is coming to a stop at the top of a ramp . And the time is given 3 seconds.Using the equation a = final velocity - initial velocity / time , we get the acceleration to be -2.33 m/s^2.The skateboarder's acceleration when travelled at 7 meters per second rolls to a stop at the top of a ramp in 3 seconds is calculated out to be -2.33 m/s^2.To know more about acceleration visit:
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A young girl sleds across a snowy field. calculate the magnitude of the friction force she experiences if her mass if 35 kg, the sled's mass is 50kg, and the coefficient of of friction with the snow is 0.220
The magnitude of the friction force she experiences=> f= 183.26 N.
friction force isthe force which opposes the motion of an object.
Total mass= 50 + 35 kg=85 kg
g= 9.8 m/s²
coefficient of friction with the snow (ц)=0.220
the friction force acting here is kinetic friction force, which is product of coefficient of friction and force acting on it which is mass × acceleration due to gravity.
the magnitude of the friction force= kinetic friction acting here=ц m g
f = 0.220 × 85 kg × 9.8
f= 183.26 N
friction force acting here is = 183.26 N.
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