Question

a spring is hanging down from the ceiling, and an object of mass m is attached to the free end. the object is pulled down, thereby stretching the spring, and then released. the object oscillates up and down, and the time t required for one complete up-and-down oscillation is given by the equation t

Answer 1

The dimension of K is M/ T^2

according to the question T=2π square root ofm/k here 2 pi is constant so  

T= root of m /k and root of k = root of m/ T now by squaring on both the sides we get the answer k= M/ T^2

complete question :

A spring is hanging down from the ceiling, and an object of mass m is attached to the free end. The object is pulled down, thereby stretching the spring, and then released. The object oscillates up and down, and the time T required for one complete up-and-down oscillation is given by the equation T=√2πm/k, where k is known as the spring constant. What must be the dimension of k for this equation to be dimensionally correct?

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