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A 140-kg astronaut (including space suit) acquires a speed
Chapter 1, Problem 65GP(choose chapter or problem)
Problem 65GP
A 140-kg astronaut (including space suit) acquires a speed of 2.50 m/s by pushing off with his legs from an 1800-kg space capsule. (a) What is the change in speed of the space capsule? (b) If the push lasts 0.40 s, what is the average force exerted on the astronaut by the space capsule? As the reference frame, use the position of the space capsule before the push.
Questions & Answers
QUESTION:
Problem 65GP
A 140-kg astronaut (including space suit) acquires a speed of 2.50 m/s by pushing off with his legs from an 1800-kg space capsule. (a) What is the change in speed of the space capsule? (b) If the push lasts 0.40 s, what is the average force exerted on the astronaut by the space capsule? As the reference frame, use the position of the space capsule before the push.
ANSWER:Step 1 of 3
We shall have to calculate torque first and then friction force. From this force, we can calculate
the required force.
diameter of the stone = 30 cm
radius R = 0.15 m
mass of the stone M = 28 kg
Moment of inertia:
\(I=\frac{1}{2}MR^2\)
\(=14\ kg\times \ 0.0225\ m^2\)
\(=0.315\ kg\cdot m^2\) . . . . . (1)