) A spring balance is used to find the weight of a body X on the surface of the
moon. The mass of the body X is 2 kg and its weight is recorded as 3.4 N. The
weight of another body Y recorded by the same balance is found to be 7.65 N.
Calculate the mass of the body Y.
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Explanation:
The mass of the body Y is 4.5 kg
Body X:
Mass (m) = 2 kg
Weight (W) = 3.4 N
Weight of the Moon is given by the formula:
W = m × gm → Equation (1)
⇒ gm = W/m
On substituting the values, we get,
gm = 3.4/2
∴ gm = 1.7 m/s²
Body Y:
Weight (W) = 7.65 N
On substituting the above values in equation (1), we get,
Mass of Y = W/gm
Mass of Y = 7.65/1.7
∴ Mass of Y = 4.5 kg
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