   Chapter 4, Problem 25P

Chapter
Section
Textbook Problem

A rocket takes off from Earth’s surface, accelerating straight up at 72.0 m/s2. Calculate the normal force acting on an astronaut of mass 85.0 kg, including his space suit.

To determine
The normal force acting on the astronaut.

Explanation

Given info: The mass of the astronaut is 85.0 kg. The acceleration of the rocket is 72.0ms2 .

The astronaut is acted upon by four forces – normal force and the force of gravity. The free body diagram is given below.

From the above diagram,

Nmg=ma

• m is the mass of the astronaut.
• g is the acceleration due to gravity.
• a is the acceleration.
• N is the normal force.

On re-arranging the terms,

N=m(a+g)

Substitute 85.0 kg for m, 72.0ms2 for a and 9

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