Question

8. Three masses of 5 kg, 3 kg and 2 kg are placed on a smooth horizontal surface as shown in figure. When a force of 100 N is applied on it then. Find (i) Acceleration of the system (ii) Tension T1 and T2

Answer 1

Acceleration of the system = 10 m/s²  

T1 and T2 are 80 and 70.

Explanation:

Given: Masses m1 = 5 kg; m2 = 3 kg; m3 = 2 kg.

Force = 100 N

Find: Tension T1 and T2

Solution:

Equation of force = F = (m1 + m2 + m3) a

100 N = (2+3+5) a

 100 = 10 a

Therefore a = 10 m/s²  

T1 = F − 2a

T1 = 100 - 2(10)

T1 = 80

T2 = F − 3a

T2 = 100 - 3(10)

T2 = 70