A bucket of water (total mass = 15.0 kg) hangs straight down from a rope. (Pleas
ID: 2236459 • Letter: A
Question
A bucket of water (total mass = 15.0 kg) hangs straight down from a rope. (Please show work for the following)
A. While the bucket is being raised at a constant speed, what is the magnitude of the tension force in the rope?
B. If the bucket, starting from rest, accelerates upwards so that is reaches a speed of 1.50 m/s at a vertical displacement at 77.0 cm above its starting height. What is the magnitude of the tension force in the rope during this acceleration?
C. If the magnitude of the ension in the rope is 136 N. What are the magntiude and direction of the bucket's acceleration at that moment?
Explanation / Answer
A. constant speed means acceleration a = 0
T = mg = 15 x 9.81 = 147.15 N
B. v^2 - u^2 = 2as
1.50^2 - 0 = 2 x a x 0.77
a = 1.46 m/s2
T - mg = ma
T = 15 x (9.81 + 1.46) = 169.05 N
C. thats is less than as was in case of a = 0 (constant speed)
so direction will be downwards.
mg - T = ma
15 x 9.81 - 136 = 15a
a = 0.74 m/s2 downwards
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