A spring with spring constant k is suspended from the ceiling.When a mass of M kg is attached to the spring,it stretches d1 m.The mass is then pulled down an additional d2 m and let go.Which one of the following statements about the resulting motion is true?

A) The maximum kinetic energy is (1/2)kd1. B) The maximum kinetic energy is (1/2)kd12. C) The maximum kinetic energy is (1/2)kd2. D) The maximum kinetic energy is (1/2)kd22. E) The maximum kinetic energy is -kd2. A) The maximum kinetic energy is (1/2)kd1. B) The maximum kinetic energy is (1/2)kd12. C) The maximum kinetic energy is (1/2)kd2. D) The maximum kinetic energy is (1/2)kd22. E) The maximum kinetic energy is -kd2. D

An object slides without friction up an incline and gains a height h = 71.0 m.The incline makes an angle of 35.0S1U1P1$\circ$S1S1P0 with respect to the horizontal.If the object started with a speed of 45.0 m/s,what will be its final speed in m/s?

A) 45.0 B) 29.7 C) 25.1 D) 58.5 E) 35.0 A) 45.0 B) 29.7 C) 25.1 D) 58.5 E) 35.0

An object slides without friction down an incline and loses a height h = 51.0 m.The incline makes an angle of 35.0S1U1P1$\circ$S1S1P0 with respect to the horizontal.If the object's final speed was 45.0 m/s,what was its initial speed in m/s?

A) 45.0 B) 34.7 C) 38.1 D) 28.1 E) 32.0 A) 45.0 B) 34.7 C) 38.1 D) 28.1 E) 32.0

A force has the dependence Fx = -ax4 on the position x,with the constant a = 25.0 N/m4.The work performed by this force when the position of its point of application changes from 0.75 m to 1.25 m is

A) - 17.4 J. B) 17.4 J. C) - 14.1 J. D) 14.1 J. E) 0 J. A) - 17.4 J. B) 17.4 J. C) - 14.1 J. D) 14.1 J. E) 0 J.

An object slides without friction down an incline and loses height h = 131 m.The incline makes an angle of 35.0S1U1P1$\circ$S1S1P0 with respect to the horizontal.If the object started with a speed of 45.0 m/s,what will be its final speed in m/s?

A) 57.2 B) 45.0 C) 21.1 D) 67.8 E) 90.0 A) 57.2 B) 45.0 C) 21.1 D) 67.8 E) 90.0

A 30.0 kg ball is released from rest and is acted upon by a net force of -1.40 F1F1F1S1F1F1F10 1016 r -2 (the force pulls the ball towards r = 0).The ball starts from rest at an initial position of ri = 6.39 F1F1F1S1F1F1F10 106 m and moves under the influence of the force to a final position of rf= 6.38 F1F1F1S1F1F1F10 106.What is the kinetic energy of the ball when it reaches its final position,rf?

A) 2.94 F1F1F1S1F1F1F10 106 J. B) 9.22 F1F1F1S1F1F1F10 106 J. C) 1.58 F1F1F1S1F1F1F10 106 J. D) 3.75 F1F1F1S1F1F1F10 106 J. E) 3.43 F1F1F1S1F1F1F10 106 J. A) 2.94 F1F1F1S1F1F1F10 106 J. B) 9.22 F1F1F1S1F1F1F10 106 J. C) 1.58 F1F1F1S1F1F1F10 106 J. D) 3.75 F1F1F1S1F1F1F10 106 J. E) 3.43 F1F1F1S1F1F1F10 106 J.

Exam 5: Kinetic Energy, work, and Power

A spring with spring constant k is suspended from the ceiling.When a mass of M kg is attached to the spring,it stretches d₁ m.The mass is then pulled down an additional d₂ m and let go.Which one of the following statements about the resulting motion is true?

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Question 1

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A rope that makes an angle of 28 degrees with respect to the vertical is used to pull a sled.The sled has a mass of 35 kg and the tension in the rope is 17 N.How much work is done by the force of the rope if the sled moves a horizontal distance of 5.6 m?

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Question 2

Correct Answer:

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A horizontal spring having constant k = 50.0 N/m is attached to a block having mass 0.50 kg.The mass is oscillating freely on a frictionless table with amplitude 15.0 cm.As the mass travels from equilibrium to half the position of maximum stretch,how much work is done by the spring on the mass?

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Question 3

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A spring attached to the ceiling is stretched 100 mm when a mass of 2 kg is hung on its end.How much work must be done to compress the spring by 6 cm?

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Question 4

A 65-kg skydiver moving at terminal speed falls 40 m in 1 second.The power the skydiver is expending on the air is

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Question 5

A construction worker with a mass of 89 kg is able to jump from a height of 1.5 m and land safely by squatting down at a uniform rate as he lands.He squats down over a distance of 0.69 m.The force (in N)exerted by his legs during the squatting process is

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Question 6

A 0.5-kg ball is thrown vertically upward with an initial velocity of 10 m/s.What is the change in the ball's kinetic energy between the starting point and the highest point in the trajectory?

(Multiple Choice)

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Question 7

A variable force of the form F=3x² + 2x + 5 N acts on a 2 kg object as it moves from x = 2 m to x = 3 m.How much work is done by this force?

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Question 8

A 3.0-kg crate rests at the bottom of a plane inclined at an angle of 15.0^$\circ$ above the horizontal.The crate is given a push up the plane and when it has travelled a distance of 2.0 m up the plane its speed is 3.0 m/s.How much work is done on the crate by gravity?

(Multiple Choice)

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Question 9

A mass attached to a horizontal spring,and resting on a frictionless surface is free to oscillate back and forth.Suppose the spring is stretched a distance 2d from equilibrium,and released.As the mass passes through the origin,how does its speed compare to the same mass and spring if stretched initially only a distance d from equilibrium?

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Question 10

An object slides without friction up an incline and gains a height h = 71.0 m.The incline makes an angle of 35.0^$\circ$ with respect to the horizontal.If the object started with a speed of 45.0 m/s,what will be its final speed in m/s?

(Multiple Choice)

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Question 11

An object slides without friction down an incline and loses a height h = 51.0 m.The incline makes an angle of 35.0^$\circ$ with respect to the horizontal.If the object's final speed was 45.0 m/s,what was its initial speed in m/s?

(Multiple Choice)

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Question 12

A car of mass 1250 kg,can reach the 60 mph (=26.8 m/s)mark in 5.25 seconds.What is the average power needed to accomplish this?

(Multiple Choice)

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Question 13

A spring has a spring constant of 25 N/m,and a mass of 0.75 kg is suspended from it.If the mass is pulled down 0.13 m away from its equilibrium position,what is the work done against the spring?

(Multiple Choice)

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Question 14

A force has the dependence F_x = -ax⁴ on the position x,with the constant a = 25.0 N/m⁴.The work performed by this force when the position of its point of application changes from 0.75 m to 1.25 m is

(Multiple Choice)

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Question 15

Two cars are moving.The first car has twice the mass of the second car,but only half as much kinetic energy.Then,both cars increase their speed by 8.00 m/s.They then have the same kinetic energy.The original speeds of the two cars are,respectively,

(Multiple Choice)

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Question 16

An object slides without friction down an incline and loses height h = 131 m.The incline makes an angle of 35.0^$\circ$ with respect to the horizontal.If the object started with a speed of 45.0 m/s,what will be its final speed in m/s?

(Multiple Choice)

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Question 17

A car with a mass of 1000 kg is traveling at 20 m/s.How fast does a person on a bicycle with a total mass of 100 kg have to travel such that they have the same kinetic energy as the car?

(Multiple Choice)

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Question 18

A woman of mass 50 kg runs up a flight of stairs.If each step is 20 cm high and her power is 180 W,how many stairs can she climb in 30 seconds?

(Multiple Choice)

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Question 19

A 30.0 kg ball is released from rest and is acted upon by a net force of -1.40  10¹⁶ r ^-2 (the force pulls the ball towards r = 0).The ball starts from rest at an initial position of r_i = 6.39  10⁶ m and moves under the influence of the force to a final position of r_f= 6.38  10⁶.What is the kinetic energy of the ball when it reaches its final position,r_f?

(Multiple Choice)

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Question 20

Showing 1 - 20 of 70

Exam 5: Kinetic Energy, work, and Power

A spring with spring constant k is suspended from the ceiling.When a mass of M kg is attached to the spring,it stretches d1 m.The mass is then pulled down an additional d2 m and let go.Which one of the following statements about the resulting motion is true?

A rope that makes an angle of 28 degrees with respect to the vertical is used to pull a sled.The sled has a mass of 35 kg and the tension in the rope is 17 N.How much work is done by the force of the rope if the sled moves a horizontal distance of 5.6 m?

A horizontal spring having constant k = 50.0 N/m is attached to a block having mass 0.50 kg.The mass is oscillating freely on a frictionless table with amplitude 15.0 cm.As the mass travels from equilibrium to half the position of maximum stretch,how much work is done by the spring on the mass?

A spring attached to the ceiling is stretched 100 mm when a mass of 2 kg is hung on its end.How much work must be done to compress the spring by 6 cm?

A 65-kg skydiver moving at terminal speed falls 40 m in 1 second.The power the skydiver is expending on the air is

A construction worker with a mass of 89 kg is able to jump from a height of 1.5 m and land safely by squatting down at a uniform rate as he lands.He squats down over a distance of 0.69 m.The force (in N)exerted by his legs during the squatting process is

A 0.5-kg ball is thrown vertically upward with an initial velocity of 10 m/s.What is the change in the ball's kinetic energy between the starting point and the highest point in the trajectory?

A variable force of the form F=3x2 + 2x + 5 N acts on a 2 kg object as it moves from x = 2 m to x = 3 m.How much work is done by this force?

A 3.0-kg crate rests at the bottom of a plane inclined at an angle of 15.0 ∘\circ∘ above the horizontal.The crate is given a push up the plane and when it has travelled a distance of 2.0 m up the plane its speed is 3.0 m/s.How much work is done on the crate by gravity?

An object slides without friction up an incline and gains a height h = 71.0 m.The incline makes an angle of 35.0 ∘\circ∘ with respect to the horizontal.If the object started with a speed of 45.0 m/s,what will be its final speed in m/s?

An object slides without friction down an incline and loses a height h = 51.0 m.The incline makes an angle of 35.0 ∘\circ∘ with respect to the horizontal.If the object's final speed was 45.0 m/s,what was its initial speed in m/s?

A car of mass 1250 kg,can reach the 60 mph (=26.8 m/s)mark in 5.25 seconds.What is the average power needed to accomplish this?

A spring has a spring constant of 25 N/m,and a mass of 0.75 kg is suspended from it.If the mass is pulled down 0.13 m away from its equilibrium position,what is the work done against the spring?

A force has the dependence Fx = -ax4 on the position x,with the constant a = 25.0 N/m4.The work performed by this force when the position of its point of application changes from 0.75 m to 1.25 m is

Two cars are moving.The first car has twice the mass of the second car,but only half as much kinetic energy.Then,both cars increase their speed by 8.00 m/s.They then have the same kinetic energy.The original speeds of the two cars are,respectively,

An object slides without friction down an incline and loses height h = 131 m.The incline makes an angle of 35.0 ∘\circ∘ with respect to the horizontal.If the object started with a speed of 45.0 m/s,what will be its final speed in m/s?

A car with a mass of 1000 kg is traveling at 20 m/s.How fast does a person on a bicycle with a total mass of 100 kg have to travel such that they have the same kinetic energy as the car?

A woman of mass 50 kg runs up a flight of stairs.If each step is 20 cm high and her power is 180 W,how many stairs can she climb in 30 seconds?

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A spring with spring constant k is suspended from the ceiling.When a mass of M kg is attached to the spring,it stretches d₁ m.The mass is then pulled down an additional d₂ m and let go.Which one of the following statements about the resulting motion is true?

A variable force of the form F=3x² + 2x + 5 N acts on a 2 kg object as it moves from x = 2 m to x = 3 m.How much work is done by this force?

A 3.0-kg crate rests at the bottom of a plane inclined at an angle of 15.0^$\circ$ above the horizontal.The crate is given a push up the plane and when it has travelled a distance of 2.0 m up the plane its speed is 3.0 m/s.How much work is done on the crate by gravity?

An object slides without friction up an incline and gains a height h = 71.0 m.The incline makes an angle of 35.0^$\circ$ with respect to the horizontal.If the object started with a speed of 45.0 m/s,what will be its final speed in m/s?

An object slides without friction down an incline and loses a height h = 51.0 m.The incline makes an angle of 35.0^$\circ$ with respect to the horizontal.If the object's final speed was 45.0 m/s,what was its initial speed in m/s?

A force has the dependence F_x = -ax⁴ on the position x,with the constant a = 25.0 N/m⁴.The work performed by this force when the position of its point of application changes from 0.75 m to 1.25 m is

An object slides without friction down an incline and loses height h = 131 m.The incline makes an angle of 35.0^$\circ$ with respect to the horizontal.If the object started with a speed of 45.0 m/s,what will be its final speed in m/s?