Calculating the additional mass that a raft will be able to support before sinking.

A raft of volume 1.5m^3 when inflated with air (P air=1.29kg/m^3), is in a swimming pool. What is the maximum additional mass the raft is able to support before sinking?

Calculating the work done to prevent movement given an angular speed and moment of inertia.

A cylinder rotating about its longitudinal axis has an angular speed of 11 rad/s. Its moment of inertia is 7 kg*m^2. How much work must be done to stop the rod from rotating?

Short calculation

A mass on a spring oscillates in a simple harmonic motion on a horizontal surface. The mass is 2kg, the period of its motion is 1.3 sec.,and its amplitude is 15 cm. Calculate the force constant of the spring, the total mechanical energy of the system, and the maximum speed of the mass.

A multi part calculation about volume flow rates in a leaking tank

A tank of oil, p=670kg/m^3, develops a leak. The leak is 6m below the open surface of the tank. A. If the leak is circular with a 7.5cm diameter, and the tank is 1.0 in diameter, what is the current volume flow rate of oil leaving the tank? Do not assume the tank is large compared to the leak. B. In time the leak will be 5m below the surface of oil in the tank. What will be the volume flow rate at that time? C. How much oil by volume has been lost from the tank between A and B? Justify answer please.

Calculating the acceleration of a pulley system.

A 10 kg mass is connected to a 5 kg mass by a light string that goes over a pulley whose mass is 0.1 kg in the shape of a ring. Both masses hang down vertically. When released from rest what is the magnitude of the 10 kg mass's acceleration?