Question

Outside the space shuttle, you and a friend pull on two ropes to dock a satellite whose mass is 1000 kg. The satellite is initially at position < 3.5, -1.5, 2.6 > m and has a speed of 3 m/s. You exert a force < 410, 340, 160 > N. When the satellite reaches the position < 6.5, 3.0, 3.8 > m, its speed is 3.16 m/s. How much work did your friend do?

(a) Work done by friend = ?? J

Answer 1

To calculate the work done by your friend, we can use the work-energy theorem by finding the change in kinetic energy. Substituting the given values for mass and velocities, we can calculate the work done by your friend.

Step-by-step explanation:

To find out how much work your friend did, we can use the work-energy theorem, which states that the work done on an object is equal to the change in its kinetic energy.

The work done by your friend can be calculated using the formula:

Work = Change in Kinetic Energy = (1/2) * mass * (final velocity^2 - initial velocity^2)

Substituting the given values, we have:

Work = (1/2) * 1000 kg * (3.16 m/s)^2 - (3 m/s)^2

After evaluating this equation, we can find the work done by your friend.