A ball of mass `m` is droppped from a height `h` on a platform fixed at the top of a vertical spring. The platform is depressed by a distance `x`. What is the spring constant `K`?

A particle of mass m=1kg is dropped from a height h=40cm on a light horizontal platform fixed to one end of an elastic spring, the other being fixed to a base, as shown in the diagram. The particle collides with the platform and sticks to it. As a result, the spring is compressed by an amount x=10cm . What is the force constant of the spring? (Take g=10ms^(-2) )

A particle of mass m=1kg is dropped from a height h=40cm on a light horizontal platform fixed to one end of an elastic spring, the other being fixed to a base. The particle collides with the platform and sticks to it. As a result, the spring is compressed by an amount x=10cm . What is the force constant of the spring? (Take g=10ms^(-2) )

A vertical spring with force constant k is fixed on a table. A ball of mass m at a height h above the free upper end of the spring falls vertically on the spring , so that the spring is compressed by a distance d . The net work done in the process is

A vertical spring with force constant k is fixed on a table. A ball of mass m at a height h above the free upper end of the spring falls vertically on the spring , so that the spring is compressed by a distance d . The net work done in the process is