A rocket is in outer space, far from any planet, when the rocket engine is turne

Question

A rocket is in outer space, far from any planet, when the rocket engine is turned on, the mass of the rocket as a function of time is
.
Assume that rocket ejects mass with a relative speed of 2400 .
Part A
Calculate and graph the velocity of the rocket as a function of time from to .
Part B
A 76- astronaut lies on a reclined chair during the firing of the rocket. What is the maximum net force exerted by the chair on the astronaut during the firing?

Part C
How does your answer compare with her weight on earth?

Explanation / Answer

This is a difficult problem
a.

Hooke's law F = -k*x 

Horizontal spring means that gravity does NOT play factor.

F = -(65 N/m) *(.120 m)

The negative sign indicates that force is a response to the displacement so it will be in the opposite direction of the displacement.

b. angulary frequency (omega) = sqrt (k/m)

c. all the elastic potential must be converted to kinetic energy

1/2 k*x^2 = 1/2*m*v^2.

v = sqrt (k*x^2/m)

I think that's right

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