The gravitational force of the moon is one-sixth that of the earth. If a body weighs 6.0N on the moon. Calculate its weight on the earth

Answer Details

Weight is the force experienced by a body due to gravity. It is given by the product of mass and gravitational acceleration, which is 9.8m/s² on earth and 1.6m/s² on the moon. Let's assume the mass of the body to be m kg. On the moon, weight, W_m = mg_m = 6.0N, where g_m = 1.6m/s² is the gravitational acceleration on the moon. On the earth, weight, W_e = mg_e, where g_e = 9.8m/s² is the gravitational acceleration on the earth. We are required to find W_e, given that the gravitational force of the moon is one-sixth that of the earth, which means the gravitational acceleration on the moon is one-sixth that of the earth. So, g_m = (1/6)g_e Substituting this value of g_m in the equation for weight on the moon, we get: W_m = mg_m = m(1/6)g_e = (1/6)(mg_e) Hence, weight of the body on earth, W_e = 6W_m = 6*(1/6)(mg_e) = mg_e Therefore, W_e = 6.0N * 9.8m/s² = 58.8N Hence, the weight of the body on earth is 58.8N. Therefore, the answer is 36.0N.