Question

Jack and Jill are pushing a 3 kg object on a rough surface; the object accelerates at a rate of 5 m/s2. Calculate the force applied by the Jack knowing that Jill is pushing 4 N and the rough surface applies 2 N force on the box as friction force.

Answer 1

13 N

Step-by-step explanation:

From the question,

(F₁+F₂)-F' = ma................ Equation 1

Where F₁= Jack's force, F₂ = Jill's force, F' = Friction force, m = mass of the object, a = acceleration of the object.

Given: F₂ = 4 N, F' = 2 N, m = 3 kg, a = 5 m/s²

Substitute these values into equation 1 and solve for F₁

(F₁+4)-2 = 3×5

(F₁+4)-2 = 15

F₁+4 = 15+2

F₁+4 = 17

F₁ = 17-4

F₁ = 13 N

Hence the force applied by Jack is 13 N