Chapter 6: Q.21 (page 155)

What thrust does a $200 g$ model rocket need in order to have a vertical acceleration of $10 m / s^{2}$
a. On earth?
b. On the moon, where g = $1.62 m / s^{2}$ ?

Short Answer

Expert verified

a. Acceleration due to gravity on Earth is $3.96 N$

b. Acceleration due to gravity on Moon is $2.32 N$

Step by step solution

Content Introduction

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

Mass of the model rocket $m = 200 g m = 0.2 k g$

vertical acceleration $a_{y} = 10 m / s^{2}$

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

localid="1648126460693" $\sum_{f_{y}} = m a_{y} F - m g = m a_{y} F = m (a_{y} + g) . . . . . . . . . . . . . . . . . . . . . . . . (1)$

Explanation (Part a)

Acceleration due to gravity on Earth , $g = 9.81 m / s^{2}$ , $m$ is the mass, $a_{y}$ is the vertical acceleration

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

localid="1648126441936" $F = m (a_{y} + g) F = (0.2 k g) (10 m / s^{2} + 9.81 m / s^{2}) F = 3.96 N$

Explanation (Part b)

Acceleration due to gravity on Moon , $g = 1.62 m / s^{2}$

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

localid="1648126421788" $F = m (a_{y} + g) F = (0.2 k g) (10 m / s^{2} + 1.62 m / s^{2}) F = 2.32 N$

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What thrust does a $200 g$ model rocket need in order to have a vertical acceleration of $10 m / s^{2}$
a. On earth?
b. On the moon, where g = $1.62 m / s^{2}$ ?

Short Answer

Step by step solution

Content Introduction

Explanation (Part a)

Explanation (Part b)

One App. One Place for Learning.

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What thrust does a 200gmodel rocket need in order to have a vertical acceleration of 10m/s2a. On earth?b. On the moon, where g = 1.62m/s2?

Short Answer

Step by step solution

Content Introduction

Explanation (Part a)

Explanation (Part b)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Physical Quantities And Units

Space Physics

Electricity

Further Mechanics and Thermal Physics

Circular Motion and Gravitation

Wave Optics

Study anywhere. Anytime. Across all devices.

What thrust does a $200 g$ model rocket need in order to have a vertical acceleration of $10 m / s^{2}$
a. On earth?
b. On the moon, where g = $1.62 m / s^{2}$ ?