rope is used to pull a 12 kg block across the floor with an acceleration of 3 m/s2. If the frictional force acting on the block is 47 N, what is tension inrope?

Question

A rope is used to pull a 12 kg block across the floor with an acceleration of 3 m/s2. If the frictional force acting on the block is 47 N, what is the tension in the rope?

Answer 1

T = tension in rope = ?

f = magnitude of friction force = 47 N

a = acceleration = 3 m/s²

m = mass of block = 12 kg

 

By Newton's 2nd law,

 

(T - f) = ma

 

T = ma + f = (12 kg)(3 m/s²) + (47 N) = 83 N