A book rests on a shelf above both the floor and a lab table. Two students get different gravitational potential energies for the same book. What most likely explains the difference?

Which quantities determine gravitational potential energy near Earth's surface?

A cart is at the same height but moves faster after being pushed. How does its gravitational potential energy change if the reference level stays the same?

A spring is stretched twice as far from its natural length. If the spring constant is unchanged, what happens to its elastic potential energy?

An ideal spring with k = 200 N/m is neither stretched nor compressed. How much elastic potential energy is stored in it?

Two identical springs are changed by the same distance from natural length: one is stretched 0.12 m and the other is compressed 0.12 m. How do their stored energies compare?

Two springs are each stretched 0.15 m. Spring A has k = 100 N/m, and spring B has k = 300 N/m. Which spring stores more elastic potential energy?

If a ball is below the chosen reference level, what sign can its gravitational potential energy have when upward height is positive?

A hiker reaches the same lookout point by a steep trail or a winding trail. Compared with the trailhead reference level, what is true of the change in gravitational potential energy?

A spring's extension is measured from which position when calculating elastic potential energy?

Which unit is appropriate for gravitational potential energy?

Two objects are at the same height above the same reference level. Object A has twice the mass of object B. How does A's gravitational potential energy compare with B's?

A box on a shelf 1.6 m above the floor and 0.9 m above a bench is lowered to the floor. One student uses the floor as the reference level and another uses the bench. How do their changes in gravitational potential energy compare?

For an ideal spring, what does the area under a force-versus-extension graph represent?

A 2.0 kg mass is lifted to a shelf 3.0 m above the floor. Take the floor as the reference level and g = 9.8 m/s². What is its gravitational potential energy?

A 5.0 kg toolbox sits 0.80 m above a table used as the reference level. With g = 9.8 m/s², what is its gravitational potential energy?

A 0.25 kg ball is held 2.4 m above the ground. Take the ground as the reference level and g = 9.8 m/s². What is the ball's gravitational potential energy?

A 12 kg crate is on a platform 1.5 m above the loading dock reference level. Use g = 9.8 m/s². What is the crate's gravitational potential energy?

A 60 kg climber rises 4.0 m above the base of a wall. Take the base as the reference level and g = 9.8 m/s². What is the climber's gain in gravitational potential energy?

A 1.2 kg book is on a shelf 1.8 m above the floor, and the reference level is a counter 0.75 m above the floor. Use g = 9.8 m/s². What is the book's gravitational potential energy?

An 8.0 kg suitcase is lifted from the floor to a bed 0.60 m above the floor. Take the floor as the reference level and g = 9.8 m/s². What is the suitcase's gravitational potential energy on the bed?

A 0.50 kg phone rests on a shelf 1.1 m above the floor. Take the floor as the reference level and g = 9.8 m/s². What is its gravitational potential energy?

A 3.5 kg backpack hangs on a hook 2.0 m above the floor. The reference level is a bench 0.50 m above the floor. Use g = 9.8 m/s². What is the backpack's gravitational potential energy?

A 0.020 kg marble is 1.5 m above a table used as the reference level. With g = 9.8 m/s², what is its gravitational potential energy?

A spring with k = 300 N/m is stretched 0.10 m from its natural length. How much elastic potential energy is stored?

A spring with k = 80 N/m is compressed 0.50 m from its natural length. What elastic potential energy is stored?

A stiff spring has k = 1200 N/m and is compressed 0.030 m. What is its elastic potential energy?

A spring with k = 450 N/m is stretched 0.20 m. How much elastic potential energy does it store?

A spring stores 4.0 J of elastic potential energy when stretched 0.20 m. What is the spring constant?

A spring with k = 200 N/m stores 6.25 J of elastic potential energy. How far is it stretched from natural length?

A spring with k = 50 N/m is stretched 0.40 m. What elastic potential energy is stored?

A spring with k = 500 N/m is compressed 6.0 cm from its natural length. What elastic potential energy is stored?

Use the diagram. A 0.75 kg ball is on the ledge. Take the bench as the reference level and g = 9.8 m/s². What is the ball's gravitational potential energy?

Use the diagram. A 2.0 kg box is on the upper shelf. Take the lower shelf as the reference level and g = 9.8 m/s². What is the box's gravitational potential energy?

Use the diagram. A 0.30 kg toy rests on the platform. Take the window sill as the reference level and g = 9.8 m/s². What is the toy's gravitational potential energy?

Use the diagram. A 6.0 kg bag is on the rack. Take the platform as the reference level and g = 9.8 m/s². What is the bag's gravitational potential energy?

Use the graph of force versus extension for a spring. How much elastic potential energy is stored at the greatest extension shown?

The graph shows the force needed to stretch a spring. What elastic potential energy is stored at the largest extension on the graph?

Use the force-extension graph. What elastic potential energy is stored in the spring at the maximum extension shown?

Use the graph for an ideal spring. What elastic potential energy is stored at the largest extension displayed?