Mark weighs 200 Newtons on Earth, where the force of gravity is 10 m/s2. He goes to Mars, where the force of gravity is 3.5 m/s2. What is Mark's weight on Mars?
a
700 N
b
70 N
c
570 N
d
200 N
To find Mark's weight on Mars, we need to use the formula:
Weight = mass × gravity
We are given the force of gravity on Mars, which is 3.5 m/s^2. However, we do not have Mark's mass. To solve for Mark's mass, we need to use the weight on Earth and the force of gravity on Earth, which is given as 10 m/s^2.
Using the formula above, we can write:
200 N (Mark's weight on Earth) = mass × 10 m/s^2
Dividing both sides of the equation by 10 m/s^2, we can eliminate the force of gravity on Earth:
mass = 200 N ÷ 10 m/s^2
mass = 20 kg
Now that we have Mark's mass, we can calculate his weight on Mars using the force of gravity on Mars (3.5 m/s^2). Using the same formula:
Weight on Mars = mass × gravity
Weight on Mars = 20 kg × 3.5 m/s^2
Weight on Mars = 70 N
Therefore, the correct answer is b) 70 N.
To calculate Mark's weight on Mars, we can use the formula:
Weight = mass x acceleration due to gravity
Given that Mark's weight on Earth is 200 Newtons and the force of gravity on Earth is 10 m/s^2, we can calculate Mark's mass using the formula:
Weight = mass x acceleration due to gravity
200 Newtons = mass x 10 m/s^2
Dividing both sides of the equation by 10 m/s^2, we get:
mass = 200 Newtons / 10 m/s^2 = 20 kg
Now, using the mass and the acceleration due to gravity on Mars (3.5 m/s^2), we can calculate Mark's weight on Mars:
Weight = mass x acceleration due to gravity
Weight = 20 kg x 3.5 m/s^2 = 70 Newtons
Therefore, Mark's weight on Mars is 70 Newtons.
The correct answer is b) 70 N.
c
570 N