155k views
5 votes
A 70kg man weighs 200 Newtons on Earth. That man traveled to Planet X which has 5 times more gravity than Earth. What are his mass and weight on Planet X?

A. Mass = 350kg and Weight = 1,000 Newtons
B. Mass = 70kg and Weight = 1,000 Newtons
C. Mass = 350kg and Weight = 200 Newtons
D. Mass = 70kg and Weight = 200 Newtons

User Pbm
by
6.8k points

1 Answer

5 votes

The correct answer is B. Mass = 70kg and weight = 1,000 Newtons.

How can you solve his mass and weight on Planet X?

The man's mass remains the same regardless of the planet he is on, as mass is a measure of the amount of matter in an object. Therefore, his mass on Planet X is still 70kg.

However, the man's weight will be different on Planet X because the planet has 5 times more gravity than Earth. Weight is the force of gravity acting on an object, and it is calculated using the formula:

weight = mass × gravity

On Earth, the gravity is approximately 9.8 m/s². Therefore, the man's weight on Earth is:

weight = 70 kg × 9.8 m/s² = 686 N

On Planet X, the gravity is 5 times more than Earth, so it is 5 × 9.8 m/s² = 49 m/s². Therefore, the man's weight on Planet X is:

weight = 70 kg × 49 m/s² = 3430 N

Therefore, the man's mass on Planet X is 70kg and his weight is 3430 Newtons.

User Piva
by
7.7k points