Download Physics 12 Worksheet #1 Work with Varying Force 1. A

Physics 12
Worksheet #1
Work with Varying Force
1.
A bungee jumper drops from a bridge. The force exerted on the jumper by the bungee cord is
measured against the change in length “x” and the results are shown below.
x (m)
Force (N)
F (N)
0
0
1200
5
200
10
400
15
600
800
20
800
25
1000
30
1200
400
a)
Using the grid provided, plot a graph
of Force vs. Change in Length.
Use the graph to determine the work
done by the bungee cord.
b)
x (m)
5
10
15
20
25
30
2.
A spring has a spring constant of 32.0 N/m
a)
How much work is required to stretch it from x=0 cm to x=45 cm?
b)
How much work is required to stretch it from x=45 cm to x=70cm?
3.
A 1255 kg satellite is lifted from the Earth’s surface to an altitude of 9.54x106 m. How much work is
required?
4.
A 785 kg satellite orbits a planet in a circle with a radius of 4.30x106 m. Relative to zero at infinity,
the gravitational potential energy of the satellite is -8.45x1011 J.
a)
What is the mass of the planet?
b)
What is the size of the force of gravity on the satellite?
5.
A 4.2 kg rock is dropped near the surface of Mars and it reaches a speed of 7.50 m/s in 2.0 s.
a)
What is the acceleration due to gravity near the surface of Mars?
b)
If Mars has a radius of 3.38x106 m, what is the mass of Mars?
6.
A 1240 kg satellite travels in a stable circular orbit around the Earth. The orbital radius is 4.5x107 m.
a)
What is the satellites kinetic energy’?
b)
What is the satellites potential energy (relative to infinity) ?
c)
What is the total energy of the orbiting satellite?
7.
A 450 kg satellite orbits the Earth where the acceleration due to gravity is 0.467 m/s2.
a)
What is the kinetic energy of the orbiting satellite?
b)
What is the potential energy of the satellite (relative to infinity) ?
c)
What is the total energy of the orbiting satellite’?
8.
What is the escape velocity from the surface of the Earth?
9.
What is the escape velocity from the surface of the Moon?
10.
In the Road Runner cartoon, Wile E. Coyote stands in front of a compressed spring to launch himself
forward. The ACME spring has a spring constant of 1245 N/m. Willie has a mass of 18.0 kg and he
compresses the spring by 5.05 m. How fast does he leave the spring?