Help i need an explanation

125.44 N

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.

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