2642

Physics Work,Power & Energy Level: High School

Your rich aunt sent you a few hundred dollars , with which you just bought a new Ferrari at Wynn Las Vegas . You are out tooling around the back roads of Nevada when you spot an escaped alien from Area 51 sauntering across the road ahead . To avoid the intergalactic incident that would occur had you run over this creature , you slam on the brakes , noting that you were going 150 miles per hour , Assume that the antilock brake system kicks in to keep the tires from skidding and that your supergrip tires have a static coefficient of friction of 0.95. Also , assume the mass of your new car is 1.30 x 10^3 kg , and the mass of the steel brake rotors is 4.00 kg each . (Remember , like most cars , Ferraris have four wheels , too )

a) How fast were you going initially ,in meters per second ?

b) How far does it take for the car to stop ?

c) How much work was done by friction to slow down and stop your car ?

d) Was this work positive or negative ?

e) What was the initial kinetic energy of thecar and how does this relate to the frictional work ?

f) How much hotter did the brake rotors get as you stopped ,assuming no heat leaked from them ?




2637

Physics Work,Power & Energy Level: High School

a) How much work must the Stratosphere elevator do to raise you and you friend (masses of 75.0 kg and 60.0 kg ) from the ground to the restaurant at the top ?

b) What is the minimum power rating for the elevator motor if the elevator must be able to carry 10 overweight conventioneers for 10 burly ex-XFL players ) of mass 150.0 kg each , along with the elevator mass of 1.50 x 10^3 kg , from the ground to the top in 60.0 seconds ?




2632

Physics Work,Power & Energy Level: High School

Select which one of the following statement are true .

a) The power required to lift a mass does not depend on the speed at which the mass is raised .

b) The work required to lift a mass one meter does not depend on the speed at which mass is raised .

c) Net work can be done on an object without changing it’s kinetic energy .

d) The work done by a constant force acting on an object depends on the orientation of the force relative to the motion of the object .

e) Conservation of energy means that the mechanical energy can never change .




2630

Physics Work,Power & Energy Level: High School

Vertical Circle

A stone of mass 15.50 kg is attached to a strong string and whiled in vertical circle of radius 60 cm. At the exact top of the path , the tension in the string is 3.7 times the stone’s weight . What is the speed of the stone at this position (top of its path ) ?

a) 3.95 m/s

b) 5.26 m/s

c) 6.99 m/s

d) 9.30 m/s

e) 1.24 x 10^-1 m/s




2621

Physics Work,Power & Energy Level: High School

As your friend the skateboarder is in the middle of moving up a curved ramp , which of the following statements are true ? (All statements apply to the magnitudes of velocity , acceleration and force )

a) Your friend’s acceleration is decreasing .

b) The normal force on your friend is decreasing .

c) The net force on you friend is zero .

d) You friend’s velocity is decreasing .

e) The gravitational force on your friend is constant .




2620

Physics Work,Power & Energy Level: High School

Conservation of Energy

A lead ball (specific heat = 1.3 x 10^2 J/kg degree C) , at an initial temperature of 25 degree C , is released from a height of 92.0 m . It does not bounce when it hits a hard surface . If all the energy of the fall goes into heating the lead , find the temperature (in degrees C ) of the ball after its hits .

a) 2.40 x 10^1 C

b) 3.19 x 10^1 C

c) 2.45 x 10^1 C

d) 5.65 x 10^1 C

e) 7.51 x 10^1 C




2616

Physics Work,Power & Energy Level: High School

Two equal mass balls (one red and other blue ) are dropped from the same height, and rebound of the floor . The red ball rebounds to a higher position than the blue ball . Neglect air resistance . Which one of the following statement is / are true about this statement .

a) The red ball is subjected to the greater impulse during the collision with the floor .

b) Once they come to a stop in the air after bouncing off the floor , both balls have the same of potential energy .

c) Except for the instant they collide with the floor , both balls are in free fall .

d) During the collision with the floor , both ball transfer the amount of momentum to the floor .

e) Mechanical energy is conserved for both balls.




2615

Physics Work,Power & Energy Level: High School

Conservation of Energy

A bullet (m = 0.025 kg) is fired with a speed of 95.0 m/s and hits a block (M = 2.80 kg) supported by a string . Find the height to which the block rises .

a) 3.60 x 10^-2 m

b) 4.79 x 10^-2 m

c) 6.37 x 10^-2 m

d) 8.48 x 10^-2 m

e) 1.13 x 10^-1 m




2614

Physics Work,Power & Energy Level: High School

Conservation of Energy

A 26.0 kg child slides down a long slide in a playground . She starts from rest at a height h1 of 18.0 m . When she is partway down the slide , at a height h2 of 5.00 m , she is moving at a speed of 7.90 m/s . Calculate the mechanical energy lost due to friction (as heat etc. )

a) 1.02 x 10^3 J

b) 1.28 x 10^3 J

c) 1.60 x 10^3 J

d) 2.00 x 10^3 J

e) 2.50 x 10^3 J




2596

Physics Work,Power & Energy Level: High School

Bungee Jumping

Calculate a bungee cord of unstretched length L0 = 49 m . When the cord is stretched to L>Lo it behaves like s spring and obeys Hooke’s law with the spring constant k = 36 N/m . However , unlike a spring ,the cord folds instead of becoming compressed when the distance between its ends is less than the unstretched length: For La) What is the upward acceleration of the ball at the lowest point ?



2595

Physics Work,Power & Energy Level: High School

A block starts at rest and slides down a frictionless track except for a small rough area on a horizontal section on the track (as shown in the figure below ) . It leaves the track horizontally , flies through the air , and subsequently strikes the ground . The acceleration of gravity is 9.81 m/s^2 . At what height h above the ground is the block released ?

a) What is the speed of the block when it leaves the track ?

b) What is the total speed of the block when it hits the ground ?




2594

Physics Work,Power & Energy Level: High School

Elastic Potential Energy

The force required to stretch a Hooke’s-law spring varies from O N to 21.1 N as we stretch the spring by moving one end 9.91 cm from its unstressed position . Find the force constant of the spring .

a) Find the work done in stretching the spring .




2591

Physics Work,Power & Energy Level: High School

Work Energy Theorem

A 0.39 kg particle has a speed of 3.5 m/s at point A and kinetic energy of 6.7 J at point B .

a) What is its kinetic energy at A ?

b) What is the particle’s speed at B ? c What is the work done on the particle as it moves from point A to B ?




2589

Physics Work,Power & Energy Level: High School

Work Energy Theorem

A mechanical pushed a 2416 kg car from rest to a speed of v, doing 3149 J of worked in the process . During this time , the car moves 22 m . Neglecting friction between the car and the road . Find v .

a) Find the horizontal force exerted on the car .




2551

Physics Work,Power & Energy Level: High School

Kinetic Energy

A 15-kg child stroller is moving towards you with a speed of 2.5 m/s . How much work is required to stop the stroller ?

a) 19 J

b) 38 J

c) 47 J

d) 94 J

e) 460 J


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