Question

An asteroid is dropping onto the Mars Base! (Unlike the Earth, the Mars is only protected by a much thinner layer of atmosphere. That's why Mars Bases are better built underground.) The White Base discovered and fired a missile of mass 20.0 kg from rest on the incoming asteroid in order to deflect it. The missile is found to accelerate with a function a(t) = 2400. m/s⁴ t² in a period of 0.500 seconds. (Ignore the effects of gravity.)

a. What is the force function on the missile?

b. What is the final speed of the missile?

c. What is the power function of the canon? What is its maximum power output and total work done?

d. What is the impulse exerted on the missile, and what is the recoil speed of the 128,000 kg White Base?

e. The 200. kg asteroid was initially moving at a velocity of -7.50 m/s j. The canon ball is moving at the constant speed calculated in b in the positive x direction. If the canon ball is then embedded into the asteroid, what is the final speed of the asteroid?

Answer 1

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