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Chapter 6: Q.21 (page 155)

What thrust does a 200gmodel rocket need in order to have a vertical acceleration of 10m/s2

a. On earth?

b. On the moon, where g = 1.62m/s2?

Short Answer

Expert verified

a. Acceleration due to gravity on Earth is 3.96N

b. Acceleration due to gravity on Moon is2.32N

Step by step solution

01

Content Introduction

We have the forces acting on the rocket and we are given,

Mass of the model rocket m=200gm=0.2kg

vertical acceleration ay=10m/s2

Apply Newton's second law to calculate the thrust of the rocket.

localid="1648126460693" 鈭�fy=mayF-mg=mayF=m(ay+g)........................(1)

02

Explanation (Part a)

Acceleration due to gravity on Earth , g=9.81m/s2,mis the mass, ayis the vertical acceleration

By substituting numerical numbers in equation, the thrust on the rocket is computed.

localid="1648126441936" F=m(ay+g)F=(0.2kg)(10m/s2+9.81m/s2)F=3.96N

03

Explanation (Part b)

Acceleration due to gravity on Moon ,g=1.62m/s2

By substituting numerical numbers in equation, the thrust on the rocket is computed.(1)

localid="1648126421788" F=m(ay+g)F=(0.2kg)(10m/s2+1.62m/s2)F=2.32N

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