Each of the blocks shown in figure has mass 1 kg. The rear block moves with a speed of 2 m/s towards the front block kept at rest. The spring attached to the front block islight and has a spring constant 50 N/m. find the maximum compression of the spring.

Question

Filo · Accepted Answer

Solution: Maximum compression will take place when the blocks move with equal velocity. As no net exterN/Al force acts on the system of the two blocks, the totla linear momentum will remain constant. If V is the common speed at maximum compression we hae ,

(1 k g) (2 \frac{m}{s}) = (1 k g) V + (1 k g) V

or,

V = 1 \frac{m}{s}

INitial kinetic energy

= \frac{1}{2} (k g) (2 \frac{m}{s})^{2} = 2 J

FiN/Al kinetic energy

= \frac{1}{2} (1 k g) (1 \frac{m}{s})^{2} + \frac{1}{2} (1 k g) (1 \frac{m}{s})^{2}

= 1 j

T h e k \in e t i c e \neq = r g h l o s t i s s \to r e d a s t h e e l * i c e \neq = r g y \in s p r \in g . H e n c e,

1/2(50N/m)x^2=2J-1=1J

or x=0.2m

Question Text	Each of the blocks shown in figure has mass 1 kg. The rear block moves with a speed of 2 m/s towards the front block kept at rest. The spring attached to the front block islight and has a spring constant 50 N/m. find the maximum compression of the spring.
Answer Type	Text solution:1
Upvotes	152

Each of the blocks shown in figure has mass 1 kg. The rear block moves with a speed of 2 m/s towards the front block kept at rest. The spring attached to the front block islight and has a spring constant 50 N/m. find the maximum compression of the spring.

Text solutionVerified