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A rope is being used to pull a mass of 10kg ver... - JAMB Physics 2000 Question

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 option: a
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Comments, Page 1/1

To solve this problem, we'll use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. Given: Mass(m) = 10 kg Initial velocity (u) = 0 m/s (starting from rest) Final velocity (v) = 4 m/s Time (t) = 8 s Acceleration due to gravity (g) = 10 m/s² First, we'll find the acceleration (a) of the mass using the formula: a=(v-u)/t=4−0/8 a= 1/2=0.5m/s Now, we'll find the tension (T) in the rope using Newton's second law: T−mg=ma Substituting the given values: � − ( 10   kg × 10   m/s 2 ) = ( 10   kg × 0.5   m/s 2 ) T−(10kg×10m/s 2 )=(10kg×0.5m/s 2 ) � − 100   N = 5   N T−100N=5N � = 5   N + 100   N T=5N+100N � = 105   N T=105N So, the tension in the rope is 105   N 105N.

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Witty, April 16 2024
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