Two masses m 1 and m 2 are connected by a spring of spring constant k and are placed on a frictionless horizontal surface. Initially the spring is stretched through a distance x0 when the system is released from rest. Find the distance moved by the two masses before they again come to rest.

Question

Philoid · Accepted Answer

Mass of the two blocks is m₁ and m₂ respectively,

Initially the spring is stretched by x= x₀,

Let k is the spring constant.

For the blocks to come to rest again, let the distance travelled by two blocks of mass m₁ and m₂ is x₁ and x₂ respectively.

As zero external force acts in horizontal direction,

_____ (1)

By the law of conservation of energy

Thus,

Then,

Putting valve in equation (1) we get

Similarly,

Two masses m1 and m2 are connectedby a spring of spring constant k and are placed on a frictionless horizontal surface. Initially the spring is stretched through a distance x0 when the system is released from rest. Find the distance moved by the two masses before they again come to rest.

Two masses m₁ and m₂ are connected
by a spring of spring constant k and are placed on a frictionless horizontal surface. Initially the spring is stretched through a distance x0 when the system is released from rest. Find the distance moved by the two masses before they again come to rest.