On earth, the weight of a body of mass $5 kg$ is $50 N$ . What will be the weight of a stone of $15 kg$ in (a) kgf and (b) N?

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Solution

Step 1:
Given data:
On earth,
Mass of the body= $5 kg$
Weight of a body= $50 N$
Mass of the stone= $15 kg$
Step 2:
Formula used:
$The weight of a body = The force of attraction of earth on the body The weight of a body = Mass (m) of the body \times acceleration due to gravity (g) SI unit of weight = SI unit of force = newton (N) Other unit used for measuring weight is kilogram force (kgf) 1 kgf = 9.8 N ≊ 10 N$
Step 3:
Calculation of weight of the stone:
a)
$The weight of the stone in kgf = (mass of the body) kgf The weight of the stone in kgf = 15 kgf Thus, the weight of the body in kgf will be = 15 kgf$
b)
Calculation of acceleration due to gravity:
$T h e g i v e n w e i g h t o f a b o d y o n t h e e a r t h = 50 N S i n c e, W e i g h t o f a b o d y = M a s s \times A c c e l e a r t i o n d u e t o g r a v i t y 50 N = 5 k g \times g t h u s, g = \frac{50 N}{5 k g} g = 10 m / s e c^{2} T h u s, t h e a c c e l e r a t i o n d u e t o g r a v i t y i s 10 m / s e c^{2} .$
Calculation of weight of the stone in Newton (N):
$Weight of the stone = 15 kg \times 10 m / \sec^{2} Weight of the stone = 150 kgm / \sec^{2} Weight of the stone = 150 N Therefore, The weight of the stone in newton is 150 N . The weight of the stone in kgf is 15 kgf .$

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