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 = 2л√m/k, where k is known as the spring constant. What must be the dimension of k for this equation to be dimensionally correct? O [T]² O [M] O [M]/[T] O [T]/[M] O [M]/[T]² O [T]²/[M]

Physics for Scientists and Engineers: Foundations and Connections
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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 = 2л√/m/k, where k is known as the spring constant. What must be the dimension of k for this
equation to be dimensionally correct?
O [T]
O [T]²
O [M]
O [M]/[T]
O [T]/[M]
O [M]/[T]²
O [T]²/[M]
Transcribed Image Text: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 = 2л√/m/k, where k is known as the spring constant. What must be the dimension of k for this equation to be dimensionally correct? O [T] O [T]² O [M] O [M]/[T] O [T]/[M] O [M]/[T]² O [T]²/[M]
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