Answer to Question #97636 in Mechanics | Relativity for vicky

Question

A block of mass 6.00 kg rests on a horizontal surface where the coefficient of kinetic friction between the two is 0.400. A string attached to the block is pulled horizontally, resulting in a 3-m/s2 acceleration by the block. Find the tension in the string. (g = 9.80 m/s2)

Answer 1

$$ma=T-\mu mg$$

The tension in the string:

$$T=m(a+\mu g)=6(3+(0.4)(9.8))=41.5\ N$$