A space probe is traveling in outer space with a momentum that has a magnitude o

Question

A space probe is traveling in outer space with a momentum that has a magnitude of 6.77 times 10^7 sl middot ft/s. A retrorocket is fired to slow down the probe. It applies a force to the probe that has a magnitude of 1.44 times 10^6 lb and a direction opposite to the probe's motion. It fires for a period of 13.2 s. Determine the momentum of the probe after the retrorocket ceases to fire. Kevin has a mass of 3.9 si and is skating with in-line skates. He sees his 2.3-sl younger brother up ahead standing on the sidewalk, with his back turned. Coming up from behind, he grabs his brother and rolls off at a speed of 8.1 ft/s. Ignoring friction, find Kevin's speed just before he grabbed his brother.

Explanation / Answer

ANSWER

Problem 4

Given,

P0 = 6.77x107 sl*ft/s = 324.15x107 kg*m/s

F = 1.44x106 lb = 6.41x106 N

t = 13.2 s

The average force is defined as follows,

F = dP/dt

The final momentum of the probe is,

P = P0 - F*t

P = (324.15x107 kg*m/s) - (6.41x106 N)*(13.2 s)

P = 315.69x107 kg.m/s   ANS.

Problem 5

Keep in mind that our problem is an inelastic collision. Thus,

m1v1 + m2v2 = (m1+m2)*v3

m1 = 3.9 sl = 56.92 kg
m2 = 2.3 sl = 33.57 kg
v1 = ?
v2 = 0
v3 = 8.1 ft/s = 2.47 m/s

(56.92 kg)*x = (56.92 kg + 33.57 kg)*(2.47 m/s)

v1 = 3.93 m/s   ANS.

Regards!!!

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