WorksheetsWork & Energy
Total questions: 10
Worksheet time: 11mins
A box of mass m is pulled by a force F, which makes
an angle 𝜙 with the horizontal. A frictional force f is
applied on the box as it slides on a horizontal surface,
as shown in the figure below. Which of the following
represents the net work on the box when it covers a
distance d?
𝐹𝑑
(𝐹 − 𝑓)𝑑
𝐹 cos 𝜙 𝑑
(𝐹 cos 𝜙 − 𝑓)𝑑
(𝐹 sin𝜙 − 𝑓)𝑑
A boy pushes a 35 kg crate across a horizontal floor
with a force of 250 N. The coefficient of kinetic
friction between the crate and the floor is 0.30. How
far does the crate move if the net work on it is
2400 J?
8.5 m
12 m
16 m
21 m
26 m
The net force on an object is represented in the
force-position graph shown below. Find the work
done on the object as it moves from x = –20 m to x =
40 m.
20 J
30 J
40 J
60 J
90 J
A 10 𝑘𝑔 block is released from rest at the top of an
inclined plane of height h = 2m, as shown in the
figure below. The coefficient of kinetic friction
between the block and the surface of the incline is
0.2.
What's the work done by the normal force?
-350 J
-200 J
0 J
200 J
350 J
The velocity of a 2.00 kg object, which starts
moving from rest, is given by the equation:
𝑣 = 4.00𝑡2 + 7.00𝑡
Find the net work done on the object between
t = 0.00 s and t = 3.00 s.
5.70 × 101 𝐽
1.14 × 102 J
1.09 × 103 J
3.25 ×103 J
6.50 × 103 J
A particle moving on the x-axis has a potential energy
given by the equation below.
𝑈 = 8𝑥2 − 4𝑥 + 400.
The force on the object at x = 1.00 m is _______.
0.00 N
12.0 N in the (+) x-axis
12.0 N in the (–) x-axis
20.0 N in the (+) x-axis
20.0 N in the (–) x-axis
A particle moving on the x-axis has a potential energy
given by the equation below.
𝑈 = 8𝑥2 − 4𝑥 + 400.
Its state of equilibrium will be at ____.
𝑥 = 0.025 𝑚
𝑥 = 0.25 𝑚
𝑥 = 2.5 𝑚
𝑥 = 25 𝑚
𝑥 = 250 𝑚
The net force acting on a particle moving on the xaxis
is given by:
𝐹 = −9𝑥2 + 4𝑥 + 2
Find the change in the potential energy of the particle
as it moves from x = 0.00 m to x = 2.00 m.
-36.00 J
-12.00 J
0.00 J
12.00 J
36.00 J
A certain one-dimensional conservative force is
given as a function of 𝑥 by the expression 𝐹 = −𝑘𝑥3,
where 𝐹 is in newtons and 𝑥 is in meters. A possible
potential energy function 𝑈 for this force is ____.
𝑈 = −1/2 𝑘𝑥4
𝑈 = 1/2 𝑘𝑥4
𝑈 = −1/4 𝑘𝑥4
𝑈 = 1/4 𝑘𝑥4
𝑈 = −3 𝑘𝑥4
A block slides from rest with negligible friction
down the track below, descending a vertical height of
5.0 m to point 𝑃 at the bottom. It then slides on the
horizontal surface. The coefficient of friction between
the block and the horizontal surface is 0.20. How far
does the block slide on the horizontal surface before
it comes to rest?
0.4 m
1.0 m
2.5 m
10 m
25 m
