A box with a mass of 20 kg is being lifted by a rope. A.) Accelerating uniformly

Question

A box with a mass of 20 kg is being lifted by a rope.

A.) Accelerating uniformly, the box goes from rest to 2.5 m/s in 1.5 s. What is the magnitude of the tension in the rope? Is this greater than or less than the weight of the box?

B.) the box then travels upward at a uniform velocity of 2.5 m/s. What is the tension in the rope during this time? Is this greater than or less than the weight of the box?

C.) The box then slows back to rest in just 0.5 s. what is the tension in the rope during this time? Is this greater or less than the weight of the box?

Explanation / Answer

A) Greater. Acc = 2.5/1.5 = 1.66m/s^2 Weight = 20*111.46 = 229.2 N B) Same as weight = 9.8*20 = 196 N C) Lesser Acc = -2.5/0.5 = -5 m/s^2 Weight = 20*4.8 = 96 N

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