When a ball of mass m is dropped through a height dif- ference Ah, its potential energy changes by the amount mg Ah, where g is the acceleration of gravity, equal to 9.81 m s-2. Suppose that when the ball hits the ground, all that energy is converted to heat, increasing the tem- perature of the ball. If the specific heat capacity of the material in the ball is 0.850 J K-1g¯!, calculate the height from which the ball must be dropped to increase the tem- perature of the ball by 1.00°C.

When a ball of mass m is dropped through a height dif- ference Ah, its potential energy changes by the amount mg Ah, where g is the acceleration of gravity, equal to 9.81 m s-2. Suppose that when the ball hits the ground, all that energy is converted to heat, increasing the tem- perature of the ball. If the specific heat capacity of the material in the ball is 0.850 J K-1g¯!, calculate the height from which the ball must be dropped to increase the tem- perature of the ball by 1.00°C.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter7: Work And Kinetic Energy

Section: Chapter Questions

Problem 5CQ: Suppose you throw a ball upward and catch it when it returns at the same height. How much work does...

See similar textbooks

Similar questions

A particle of mass 2.0 kg moves under the influence of the force F(x)=(3/x)N. If its speed at x=2.0 m is v=6.0 m/s, what is its speed at x = 7.0 m?
A baseball of mass 0.25 kg is hit at home plate with a speed of 40 m/s. When it lands in a seat in the left-field bleachers a horizontal distance 120 m from home plate, it is moving at 30 m/s. If the ball lands 20 m above the spot where it was hit, how much work is done on it by air resistance?
A person drops a pebble of mass m1from a height h, and it hits the floor with kinetic energy K. The person drops another pebble of mass m2, from a height of 2h , and it hits the floor with the same kinetic energy K. How do the masses of the pebbles compare?
Suppose you throw a ball upward and catch it when it returns at the same height. How much work does the gravitational force do on the ball over its entire trip?
Check Your Understanding What are the values of the gravitational potential energy of the hiker at the base, and sea level, with respect to a sea-level zero of potential energy?
A cyclist in a race must climb a 5 hill at a speed of 8 m/s. If the mass of the bike and the biker together is 80 kg, what must be the power output of the biker to achieve the goal?
An electron in a television tube is accelerated uniformly from rest to a speed of 8.4107 m/s over a distance of 2.5 cm. What is the power delivered to the electron at the instant that its displacement is 1.0 cm?
A particle of mass 2.0 kg moves under the influence of the force F(x)=(5x2=7x)N . Suppose a frictional force also acts on the particle. If the particle’s speed when it starts at x=4.0 m is 0.0 m/s and when it arrives at x=4.0 m is 9.0 m/s, how much work is done on it by the frictional force between x=4.0 m and x=4.0 m?
A 500-kg dragster accelerates from rest to a final speed of 110 m/s in 400 m (about a quarter of a mile) and encounters an average frictional force of 1200 N. What is its average power output in watts and horsepower if this takes 7.30s?
A mysterious constant force of 10 N acts horizontally on everything. The direction of the force is found to be always pointed toward a wall in a big hall. Find the potential energy of a particle due to this force when it is at a distance x from the wall, assuming the potential energy at the wall to be zero.
Check Your Understanding The spring Example 7.5 is compressed 6 cm from its equilibrium length. (a) Does the spring force do positive or negative work and (b) what is the magnitude?
A particle moving in the xy -plane is subject to a force F(x,y)=(50Nm2)(xi+yj)( x 2 + y 2 )3/2 , where x and y are in meters. Calculate the work done on the particle by this force, as it moves in a straight line from the point (3 in, 4 m) to the point (8 in, 6 in).