A rope is being used to pull a mass of 10kg vertically upward. Determine the tension in the rope if starting from rest; the mass acquires a velocity of 4ms‾¹ in 8s [g = 10ms−²2]

A. 5N
B. 50N
C. 95N
D. 105N

Correct Answer:

Option D – 105N

Explanation

Tension = Force of gravity + acceleration force

= mg + ma

a=v−u/t
= 4−0/8
= 0.5 ms−²
Tension = 10×10+10×0.5
= 100 + 5

= 105N