a) A10 kg block is hanging from a rope. Find the (magnitude of the) tension in t
ID: 1793814 • Letter: A
Question
a) A10 kg block is hanging from a rope. Find the (magnitude of the) tension in the rope when i) the block is stationary. ii) the block is moving upward with a steady speed of 5.0 m/s. iii) the block is accelerating upward with a steady acceleration of 5.0 m/s2 b) A 1100 kg car, whose wheels are locked, is being dragged across the pavement by a cable held at an angle of 20° above the horizontal. The coefficient of kinetic friction between the car and the ground is .= 0.80. The car starts from rest, and after 3.0 s is moving at a speed of 1.5 m/s. 120° What is the (magnitude of the) tension in the cable T?Explanation / Answer
a) fnet = m
T - m g = 0
T = 10 x 9.8 = 98 N
(ii) moving with constant velocity, a = 0
so Fnet = 0
T = m g = 98 N
(iii) T - m g = m a
T = 10 (9.8 + 5) = 148 N
b) vf = vi + a t
1.5 = 0 + 3 a = > a = 0.5 m/s^2
in vertical, T sin20 + N - m g = 0
N = m g - T sin20
in horizontal, Tcos20 - f = m a
T cos20 - 0.80 m g + 0.80 T sin20 = 1100 x 0.5
T = 7561 N
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