A certain particle has a weight of 22Nat a point where. localid="1656143387519" g=9.8m/s2What are its:(a) weight and (b) mass at a point where localid="1656143411696" g=4.9m/s2? What are its (c) weight and(d) mass if it is moved to a point in space where g=0?

Short Answer

Expert verified

When,g=4.9m/s2weightis11N

when,g=4.9m/s2massis2.2kg

when,g=0,weightis0NWhen,g=0,massis2.2kg

Step by step solution

01

Given information

It is given that,

W=22N

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×aWhereaistheaccelerationduetogravity

03

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

As

W=22N

mass(m)=229.8=2.2kgWhen,g=4.9m/s2W=2.2×4.9=11N

Hence, the weight wheng=4.9m/s2is11N

04

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

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

m=2.2kg

Hence, the mass when g=4.9m/s2is2.2kg

05

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

when

g=0m/s2W=2.2×0=0NHence,theweightwheng=m/s2is0N
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=2.2kgHence,themasswheng=0m/s2is2.2kg

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