Question

An astronaut is doing repairs on the international Space Station. She throws a hammer into space with a velocity of 3m/s. How much force is needed to keep the 5kg hammer moving at 3m/s through space?

Answer 1

7.5 N

Step-by-step explanation:

Given data :

velocity ( V ) = 3m/s

mass of hammer ( m ) = 5 kg

Determine the force needed to keep hammer moving through space

The force needed to keep the hammer moving in space can be calculated

F = ma ----- (1 )

m = 5 kg

a = velocity / time

velocity = displacement / time = 3 m/s hence displacement after 1 second = 3m

now we have to determine the acceleration using the relationship below

V^2 = V1^2 + 2(a)(d)

3^2 = 0 + 2(a) ( 3 )

9 = 6a ∴ a = 9/6 = 1.5 m/s^2

back to equation 1

F = ma

= 5 * 1.5 = 7.5 N

Answer 2

The force is 15N

Step-by-step explanation:

The formula is Force= mass × velocity.

From the question mass is 5kg, velocity is 3m/s.

F= 5×3

F= 15Newton.

Therefore the force is 15N.