# Problem: 1.If an object is raised twice as high, its potential energy will beA) half as muchB) twice as much.C) four times as much.D) impossible to determine unless the time is given.2. An object lifted 10 meters gains 200 J of potential energy. If the same object is lifted 20 meters, its potential energy gain isA) half as much.B) the same.C) twice as much.D) four times as much.E) more than four times as much.3. A 1000-kg car and a 2000-kg car are hoisted the same distance. Raising the more massive car requiresA) less work.B) as much work.C) twice as much work.D) four times as much work.E) more than four times as much work.

###### FREE Expert Solution

In this problem, we have height and gravity. Thus, we are talking about gravitational potential energy.

Gravitational potential energy:

$\overline{){{\mathbf{U}}}_{{\mathbf{G}}}{\mathbf{=}}{\mathbf{m}}{\mathbf{g}}{\mathbf{h}}}$

90% (175 ratings) ###### Problem Details

1.If an object is raised twice as high, its potential energy will be
A) half as much
B) twice as much.
C) four times as much.
D) impossible to determine unless the time is given.

2. An object lifted 10 meters gains 200 J of potential energy. If the same object is lifted 20 meters, its potential energy gain is
A) half as much.
B) the same.
C) twice as much.
D) four times as much.
E) more than four times as much.

3. A 1000-kg car and a 2000-kg car are hoisted the same distance. Raising the more massive car requires
A) less work.
B) as much work.
C) twice as much work.
D) four times as much work.
E) more than four times as much work.