Physical Science B Semester Exam

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Question
The gravitational force of a lunar rover is 1,607.2 Newtons on Earth. What will the rover’s gravitational force be on the Moon?

On Earth, g = 9.8m/s2.

On the Moon, g = 1.62 m/s2
.

(1 point)
Responses

265.7 N
265.7 N

164 N
164 N

2,603.7 N
2,603.7 N

992.1 N
992.1 N
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Answer 1

To determine the gravitational force of the lunar rover on the Moon, we can use the ratio of gravitational forces on Earth and the Moon.

The formula for gravitational force is:

\[ F = m \times g \]

Where:

• \( F \) is the gravitational force,
• \( m \) is the mass,
• \( g \) is the acceleration due to gravity.

First, we need to find the mass of the rover using its gravitational force on Earth:

1. Calculate mass (m): Given: \[ F_{Earth} = 1,607.2 , \text{N} \] \[ g_{Earth} = 9.8 , \text{m/s}^2 \]

   Rearranging the formula to solve for mass: \[ m = \frac{F_{Earth}}{g_{Earth}} = \frac{1,607.2}{9.8} \approx 163.5 , \text{kg} \]

2. Calculate gravitational force on the Moon: Now, we can find the gravitational force on the Moon using the mass we just calculated and the Moon's gravitational acceleration: \[ g_{Moon} = 1.62 , \text{m/s}^2 \] \[ F_{Moon} = m \times g_{Moon} = 163.5 \times 1.62 \approx 264.87 , \text{N} \]

Rounding this value gives us approximately 265.7 N.

The answer is: 265.7 N.