The mass and weight of an object on the earth are 5 kg and 49 N respec

1.	The mass and weight of an object on the earth are 5 kg and 49 N respectively. What will be their values on the moon? Assume that the acceleration due to gravity on the moon is l/6th of that on the earth.
Answer» Data: m = 5 kg, W = 49 N, gM = \(\frac{g_E}{6}\), m (on the moon) = ?, W(on the moon) = ? (i) The mass of the object on the moon = the mass of the object on the earth = 5 kg (ii) W = mg ∴ \(\frac{W_M}{W_E}=\frac{mg_M}{mg_E}\) = \(\frac{g_M}{g_E}=\frac{1}{6}\) ∴ \(W_M=\frac{W_E}{6}\) = \(\frac{49\,N}{6}\) = 8.167 N (weight of the object on the moon).

The mass and weight of an object on the earth are 5 kg and 49 N respectively. What will be their values on the moon? Assume that the acceleration due to gravity on the moon is l/6th of that on the earth.

Answer»

Data: m = 5 kg, W = 49 N,

gM = \(\frac{g_E}{6}\), m (on the moon) = ?, W(on the moon) = ?

(i) The mass of the object on the moon = the mass of the object on the earth = 5 kg

(ii) W = mg

∴ \(\frac{W_M}{W_E}=\frac{mg_M}{mg_E}\) = \(\frac{g_M}{g_E}=\frac{1}{6}\)

∴ \(W_M=\frac{W_E}{6}\) = \(\frac{49\,N}{6}\) = 8.167 N

(weight of the object on the moon).

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The mass and weight of an object on the earth are 5 kg and 49 N respectively. What will be their values on the moon? Assume that the acceleration due to gravity on the moon is l/6th of that on the earth.

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