Question

An astronaut weighs 99 n on the moon, where the acceleration of gravity is 1.62 m/s2. how much does she weigh on earth?

Answer 1

(99/1.62)is mass 
when we multiply this by 9.8 we get weight on earth
which is 598 approx

Answer 2

She weighs 599 N on Earth

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Further explanation

Newton's gravitational law states that the force of attraction between two objects can be formulated as follows:

$\large {\boxed {F = G \frac{m_1 ~ m_2}{R^2}} }$

F = Gravitational Force ( Newton )

G = Gravitational Constant ( 6.67 × 10⁻¹¹ Nm² / kg² )

m = Object's Mass ( kg )

R = Distance Between Objects ( m )

Let us now tackle the problem !

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Given:

weight of astronaut on the Moon = w_m = 99 N

acceleration of gravity on the moon = a_m = 1.62 m/s²

acceleration of gravity on the moon = a_e = 9.80 m/s²

Asked:

weight of astronaut on the Earth = w_e = ?

Solution:

$w_e : w_m = m g_e : m g_m$

$w_e : w_m = g_e : g_m$

$w_e : 99 = 9.80 : 1.62$

$w_e = \frac{9.80}{1.62} \times 99$

$w_e \approx 599 \texttt{ N}$

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Conclusion:

She weighs 599 N on Earth

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Learn more

• Impacts of Gravity : brainly.com/question/5330244
• Effect of Earth’s Gravity on Objects : brainly.com/question/8844454
• The Acceleration Due To Gravity : brainly.com/question/4189441

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Answer details

Grade: High School

Subject: Physics

Chapter: Gravitational Fields