Question

Given that on the moon g = 1.6 m/s2, and on Earth g = 9.8 m/s2, if a car on the moon weighs 3.8 N, what is its mass on Earth?

Do not write units in your answer, only numbers.

Round to one decimal place.

Answer 1

The weight of the car on Earth is 19.6

Step-by-step explanation:

The given parameters are;

The gravitational acceleration on the moon,
`a_(Moon)` = 1.6 m/s²

The gravitational acceleration on Earth, g = 9.8 m/s²

The weight of the car on the moon = 3.8 N

The weight of an object = The mass of the object, m × The gravitational acceleration acting on the object, g

The weight of the car = The mass of the car × The gravitational acceleration on the moon

∴ 3.8 N = The mass of the car × 1.6

The mass of the car = 3.8/1.6 = 2 kg

The weight of the car on Earth =The mass of the car × The gravitational acceleration on Earth, g

The weight of the car on Earth = 2 × 9.8 = 19.6

The weight of the car on Earth = 19.6.