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Natali5045456 [20]
2 years ago
14

. A rope is being used to pull a mass of 10 kg vertically upward. Determine the tension on the rope, if starting from rest, the

mass acquires a velocity of 4 ms-1 in 8s [g= 10ms-2]
Physics
1 answer:
telo118 [61]2 years ago
5 0

\text{Given that,}\\\\\text{Mass, m =10 kg}\\\\\text{Time, t = 8 sec}\\\\\text{Velocity, v = 4~m/s}\\\\\text{When a body is moving upwards,}\\\\\text{Tension,}~ T=mg +ma\\\\~~~~~~~~~~~~~~~=mg+m\left(\dfrac{v-u}t \right)\\\\~~~~~~~~~~~~~~~=10(10)+10\left(\dfrac{4-0}8\right)\\\\~~~~~~~~~~~~~~~=100+10\left(\dfrac 12\right)\\\\~~~~~~~~~~~~~~~=100+5\\\\~~~~~~~~~~~~~~~=105~N

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tan \theta = \mu_s

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\mu_s R is the frictional force, with \mu_s being the coefficient of friction and R the normal reaction of the incline

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mg sin \theta - \mu_s mg cos \theta = 0

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