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Potential Energy and Energy Conservation

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

Why is gravity considered a conservative force?

a)

Because it depends on the speed of the object

b)

Because the work done depends only on the initial and final positions

c)

Because it always acts upward

d)

Because it changes with the path taken

2.

What happen when a spring is compressed, like in a click pen?

a)

The spring loses all its energy

b)

The spring stops working

c)

The spring changes its mass

d)

The spring stores energy that can be released later

3.

Which of the following is an example of a non-conservative force?

a)

Gravity acting on a falling object

b)

Elastic force in a stretched spring

c)

Friction slowing down a moving box

d)

Magnetic force on a moving charge

4.

At which point on a potential energy graph is the particle in unstable equilibrium?

a)

At a minimum point of U(x)

b)

At a maximum point of U(x)

c)

Where U(x) = 0

d)

Where the slope of U(x) is largest

5.

A particle is in stable equilibrium when it is located at:

a)

A maximum of the potential energy graph

b)

A point where force is maximum

c)

A minimum of the potential energy graph

d)

A point where potential energy is zero

6.

The relationship between force F(x) and potential energy U(x) is:

a)
b)
c)
d)
7.

What is the physical meaning of the negative sign in the relationship between force and potential energy?

a)

Potential energy is always negative

b)

Force pushes the system toward lower potential energy

c)

To make the force magnitude larger

d)

Because it is a non-conservative force

8.

In three dimensions, the vector force F is equal to:

a)
b)
c)
d)
9.

When calculating a partial derivative (e.g., ∂U/∂x), what happens to y and z?

a)

They are added to the result

b)

They are set to zero

c)

They are assumed to be constant

d)

They are squared

10.

If U(x)=C/x, what is the x-component of force?

a)

−C/x

b)

C/x

c)

−C/x^2

d)

C/x^2