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# Suppose a Planet Exists Whose Mass and Radius Both Are Half Those of the Earth. Calculate the Acceleration Due to Gravity on the Surface of this Planet. - CBSE Class 9 - Science

#### Question

Suppose a planet exists whose mass and radius both are half those of the earth. Calculate the acceleration due to gravity on the surface of this planet.

#### Solution

Mass and radius both are half of those of the earth
g (acceleration due to gravity) = ?
G (gravitational constant) = 6.673 × 10−11 Nm2 kg−2
M (mass of new planet)= (5.98 × 1024  kg)/2
R (radius of the earth) = (6.4 × 106 m)/2
g = (GM)/R^2
= (6.673 xx 10^-11 xx 5.98 xx 10^24 xx 4)/((6.4 xx 10^6)^2 xx 2)
= (6.673 xx 10^-11 xx 5.98 xx 10^24 xx 4)/(6.4 xx 6.4 xx 10^12 xx 2)              (10^(24-11)=10^13)
= (6.673 xx 5.98 xx 4 xx 10^14)/(6.4 xx 6.4 xx 10^12 xx 2)  (10^(13-12)=10)
= (6.673 xx 5.98 xx 4 xx 10)/(6.4 xx 6.4 xx 2)
= (159.61816 xx 10)/(6.4 xx 6.4 xx 2)
= 1.9484 xx 10 = 19.5 N

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#### APPEARS IN

Lakhmir Singh Solution for Science for Class 9 Part 1 Physics (2016 to Current)
Chapter 3: Gravitation
Hots Questions | Q: 73 | Page no. 103

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Solution Suppose a Planet Exists Whose Mass and Radius Both Are Half Those of the Earth. Calculate the Acceleration Due to Gravity on the Surface of this Planet. Concept: Mass and Weight.
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