Question

An object of mass m1​= 5kg placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging object of mass m2​= 8kg as shown in figure.
Calculate,
(a) the acceleration (a) of the objects
(b) the tension (T) in the string.

(a) The acceleration of the objects (in m/s2) is

Answer for part 1
(b) The tension in the string (in Newtons) is

Answer for part 2​

Answer 1

Answer:

a. 6.04 m/s^2 (3 sig. fig.) b.  T = 30.2 N

Explanation:

a) Assume that the acceleration due to gravity is 9.81 m/s^2 downwards

8x9.81 = (5+8)a

a = 6.04 m/s^2 (3 sig. fig.)

b) Using the results from (a)

   T = 5(6.04)

   T = 30.2 N