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Q.

Which of the following is the mass of the object whose weight is $98 N$ ?

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a

10 kg

b

11 kg

c

9 kg

d

9.8 kg

answer is A.

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Detailed Solution

The mass of the object whose weight is

98 N

is

10 kg

.
The mass of a body is the quantity of matter it contains. It's a scalar quantity. The weight of a body is the force with which the earth attracts it. It's the force of gravity on it. Weight is a vector quantity.
Weight of the body is represented by

W = mg . . . . . . . . . . . . (i)

m

is the mass of the body

g

is acceleration due to gravity
It is given that the weight of the body is

98 N

and we know that the value of acceleration due to gravity

g = 9.8 {ms}^{- 2}

We can substitute these values in equation (i), We get

98 N = (m) kg \times (9.8) {ms}^{- 2}

\Rightarrow 98 = m \times 9.8

\Rightarrow \frac{98}{9.8} = m

\Rightarrow m = 10

\Rightarrow m = 10 kg

Thus, the mass of the object whose weight is

98 N

is

10 kg

.

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