Question

Calculate the time needed to accelerate a 50 kg object from 2 m/s to 12 m/s if a force of 10 N is

applied.

Answer 1

Hi there!

`\large\boxed{\text{50 seconds.}}`

Begin by calculating the acceleration on the object by using the formula

F = m · a (Newton's Second Law) where:

F = Force (N)

m = Mass (kg)

a = acceleration (m/s²)

Plug in the given values:

10 = 50 · a

10 = 50a

10 / 50 = a

a = 1/5 = 0.20 m/s²

Solve for the time using the kinematic equation:

Δv / a = t, or (vf - vi) / a = t

Plug in the acceleration along with the initial and final velocites into the equation:

(12 - 2) / 0.20 = 10 / 0.20 = 50 seconds.