Question

A body weight 490N on a planet whose acceleration due to gravity is half of that of the earth calculate.
a.The mass of the body
b.the weight of the stone on the earth

Answer 1

Given,

On a planet;

Weight of a stone= 490 N

Acceleration due to gravity = 1/2(acceleration due to gravity on earth)

To find,

a) The mass of the stone

b) The weight of the stone on the earth

Solution,

We can simply solve this numerical problem by using the following process:

Acceleration due to gravity on earth

= g = 9.8 m/s^2

Acceleration due to gravity on the other planet

= 1/2(acceleration due to gravity on earth)

= 1/2 x 9.8 m/s^2

= 4.9 m/s^2

Mathematically,

Weight of a body on a planet (W) =

Weight of a body on a planet (W) = Mass of the body (M) x acceleration due to gravity in that planet (a)

Now, as per the question;

Weight of the stone on the planet = 490 N

=> Mass of the stone (M) x acceleration due to gravity in the planet (a) = 490 N

=> M x 4.9 m/s^2 = 490 N

=> M = (490 N)/(4.9 m/s^2)

=> M = 100 Kg

Now,

The weight of the stone on the earth

= Mass of the stone (M) x acceleration due to gravity in the earth (g) = 490 N

= 100 Kg X 9.8 m/s^2

= 980 N

Hence, the mass of the stone is 100 Kg and the weight of the stone on earth is equal to 980 N.

Answer 2

Step-by-step explanation:

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