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Chapter 5: Q 79 P (page 122)

A certain particle has a weight of $22 N$ at a point where. localid="1656143387519" $g = 9.8 m / s^{2}$ What are its:(a) weight and (b) mass at a point where ^{localid="1656143411696" $g = 4.9 m / s^{2}$}? What are its (c) weight and(d) mass if it is moved to a point in space where $g = 0$ ?

Short Answer

Expert verified

$W h e n, g = 4.9 m / s^{2} w e i g h t i s 11 N$

$w h e n, g = 4.9 m / s^{2} m a s s i s 2.2 k g$

$w h e n, g = 0, w e i g h t i s 0 N W h e n, g = 0, m a s s i s 2.2 k g$

Step by step solution

01

Given information

It is given that,

$W = 22 N$

02

Determining the concept

This problem can be solved using the concept of weight and mass.

According to the concept of weight and mass,

$W = m 脳 a W h e r e a i s t h e a c c e l e r a t i o n d u e t o g r a v i t y$

03

(a) Determining the weight when g=4.9 m/s2

As

$W = 22 N$

m a s s (m) = \frac{22}{9.8} = 2.2 kg W h e n, g = 4.9 m / s^{2} W = 2.2 脳 4.9 = 11 N

Hence, the weight when $g = 4.9 m / s^{2} i s 11 N$

04

(b) Determining the mass when g=4.9 m/s2

As mass is a fundamental quantity, it will be the same anywhere,

$m = 2.2 k g$

Hence, the mass when $g = 4.9 m / s^{2} i s 2.2 k g$

05

(c) Determining the weight when g=0 m/s2

when

g = 0 m / s^{2} W = 2.2 脳 0 = 0 N H e n c e, t h e w e i g h t w h e n g = m / s^{2} i s 0 N

06

(d) Determining the mass when g=0 m/s2

Mass of the body is the same irrespective of the gravitational acceleration. So, it would have the same mass as before.

m = 2.2 k g H e n c e, t h e m a s s w h e n g = 0 m / s^{2} i s 2.2 k g

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