A nurse measured the average heart beats of a patient and reported to the doctor in terms of time period as 0.8 s. Express the heart beat of the patient in terms of number of beats measured per minute.

A spring balance has a scale which ranges from 0 to 25 kg and the length of the scale is 0.25m. It is taken to an unknown planet X where the acceleration due to gravity is 11.5 m s⁻¹. Suppose a body of mass M kg is suspended in this spring and made to oscillate with a period of 0.50 s. Compute the gravitational force acting on the body.

Consider two springs with force constants 1 N m⁻¹ and 2 N m⁻¹ connected in parallel. Calculate the effective spring constant (k_p) and comment on k_p.

If the length of the simple pendulum is increased by 44% from its original length, calculate the percentage increase in time period of the pendulum.

Write down the kinetic energy and total energy expressions in terms of linear momentum, For one-dimensional case.