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For the rocket described in Examples 8.15 and 8.16 (Section 8.6$)$ , the mass of the rocket as a function of time is $$m(t)=\left\{\begin{array}{ll}{m_{0}} & {\text { for } t<0} \\ {m_{0}\left(1-\frac{t}{120 \mathrm{s}}\right)} & {\text { for } 0 \leq t \leq 90 \mathrm{s}} \\ {m_{\mathrm{d}} / 4} & {\text { for } t \geq 90 \mathrm{s}}\end{array}\right.$$(a) Calculate and graph the velocity of the rocket as a function of time from $t=0$ to $t=100 \mathrm{s}$ . (b) Calculate and graph the acceleration of the rocket as a function of time from $t=0$ to $t=100 \mathrm{s}$ (c) A $75-k g$ 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? How does your answer compare with her weight on earth?

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a. $3327 \mathrm{m} / \mathrm{s}$b. $a=0$c. $6.0 \times 10^{3} \mathrm{N}$

Physics 101 Mechanics

Chapter 8

Momentum, Impulse, and Collisions

Moment, Impulse, and Collisions

University of Michigan - Ann Arbor

Simon Fraser University

Hope College

McMaster University

Lectures

04:30

In classical mechanics, impulse is the integral of a force, F, over the time interval, t, for which it acts. In the case of a constant force, the resulting change in momentum is equal to the force itself, and the impulse is the change in momentum divided by the time during which the force acts. Impulse applied to an object produces an equivalent force to that of the object's mass multiplied by its velocity. In an inertial reference frame, an object that has no net force on it will continue at a constant velocity forever. In classical mechanics, the change in an object's motion, due to a force applied, is called its acceleration. The SI unit of measure for impulse is the newton second.

03:30

In physics, impulse is the integral of a force, F, over the time interval, t, for which it acts. Given a force, F, applied for a time, t, the resulting change in momentum, p, is equal to the impulse, I. Impulse applied to a mass, m, is also equal to the change in the object's kinetic energy, T, as a result of the force acting on it.

12:24

A rocket has total mass $M…

08:09

Rocket science. A rocket h…

04:51

Rocket Science. A rocket h…

04:36

A 2540 -kg test rocket is …

02:23

Two model rockets are laun…

01:35

Rocket in earth's fi…

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