Answer:
125.44 N
Step-by-step explanation:
From the question given above, the following data were obtained:
Weight on earth = 784 N
Acceleration due to gravity of the moon (gₘ) = 1.6 m/s²
Weight on moon =?
Next, we shall determine the mass of the person. This can be obtained as follow:
Weight on earth (Wₑ) = 784 N
Acceleration due to gravity of earth (gₑ) = 10 m/s²
Mass (m) =?
Wₑ = m × gₑ
784 = mass × 10
Divide both side by 10
Mass = 784 / 10
Mass = 78.4 Kg
Finally, we shall determine the weight of the person on moon. This can be obtained as follow:
Mass (m) = constant = 78.4 Kg
Acceleration due to gravity of the moon (gₘ) = 1.6 m/s²
Weight on moon (Wₘ) =?
Wₘ = m × gₘ
Wₘ = 78.4 × 1.6
Wₘ = 125.44 N
Therefore, the weight of the person on moon is 125.44 N.