The weight of a body on earth is 98 N where the acceleration due to gravity is 9.8 m s^-2. What will be it's (a) mass and (b) weight on moon where the acceleration due to gravity is 1.6 m s^-2 ?

(a) As we know,

Weight (W) = mass (m) x acceleration due to gravity (g)

Given,

w = 98 N

g = 9.8 m s^-2

Substituting the values in the formula above, we get,

$98 = m \times 9.8 \\[0.5em] \Rightarrow m = \dfrac{98}{9.8} \\[0.5em] \Rightarrow m = 10 kg \\[0.5em]$

Hence, the mass of the body = 10 kg.

(b) As mass is constant and it's value remains same on moon (m) as on earth (e), hence,

m_e = m_m = 10 kg

g_moon = 1.6 m s^-2

Substituting the values in the formula above, we get,

$W = 10 \times 1.6 \\[0.5em] \Rightarrow W = 16 N \\[0.5em]$

Hence, the weight on moon = 16 N.