Question
Two bodies whose masses are m1 = 50 kg and m2 = 150 kg are tied by a light string and are placed on a frictionless horizontal surface. When m1 is pulled by a force F, n acceleration of 5 m/s is produced in both the bodies. Calculate the value of F. What is the tension in the string?
Solution
Here,
m1 = 50 kg, m2 = 150 kg
Force applied, F = ?
Tension in the string, T = ?
Acceleration in both the bodies, a = 5 m/s2
Therefore,
F = (m1 + m2) a
F = (50 +150) 5 = 1000 N
Also, T = m2a= 150 x 5 = 750 N