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(^{-2})]
-
A.
5N -
B.
50N -
C.
95N -
D.
105N
Correct Answer: Option D
Explanation
Tension = Force of gravity + acceleration force
= mg + ma
(a = frac{v – u}{t})
= (frac{4 – 0}{8})
= 0.5 ms(^{-2})
Tension = (10 times 10 + 10 times 0.5)
= 100 + 5
= 105N