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, Wm = mgm = 6.0N, where gm = 1.6m/s2 is the gravitational acceleration on the moon. On the earth, weight, We = mge, where ge = 9.8m/s2 is the gravitational acceleration on the earth. We are required to find We, 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, gm = (1/6)ge Substituting this value of gm in the equation for weight on the moon, we get: Wm = mgm = m(1/6)ge = (1/6)(mge) Hence, weight of the body on earth, We = 6Wm = 6*(1/6)(mge) = mge Therefore, We = 6.0N * 9.8m/s2 = 58.8N Hence, the weight of the body on earth is 58.8N. Therefore, the answer is 36.0N.