Question

To pull an old stump out of the ground, you and a friend tie two ropes to the stump. You pull on it with a force of 500 N to the north while your friend pulls with a force of 450 N to the northwest. The total force from the two ropes is:

a. more than 950 N.
b. exactly 950 N.
c. less than 950 N.

Answer 1

C. less than 950 N.

Step-by-step explanation:

Given that

Force in north direction F₁ = 500 N

Force in the northwest F₂ = 450 N

Lets take resultant force R

The angle between force = θ

θ = 45°

The resultant force R

`R=√(F_1^2+F_2^2+2F_1F_2cos\theta)`

`R=√(500^2+450^2+2* 450* 500* cos\theta)`

R= 877.89 N

Therefore resultant force is less than 950 N.

C. less than 950 N

Note- When these two force will act in the same direction then the resultant force will be 950 N.