Archimedes Principle An object, part aluminum, part wood, floats in water.

Two blocks are cemented together top to bottom and the whole object is placed in water. Known values are the density of the wood Dw= .650 kg/m^3, of aluminum Da = 2700 kg/m^3, and of water Dliq= 1000 kg/m^3. See attachment #1 for diagram, (not to scale). PART a. If the object barely floats, with the top surface ot the wood lev ...continues

Pressure vs depth in liquid and total force on submerged rectangular and triangular surfaces.

A solid prism has a vertical rectangular face of height H= .90 m by width W=.5 m and a horizontal rectangular face of length L= 1.2 m, with W=.5 m also. The prism is submerged in liquid whose density is D= 1600 kg/m^3 with the horizontal face at depth B= .35 m. See attachment #1 for a diagram showing parameters. PART a. Fi ...continues

Working with power, force and efficiency in a speed problem.

A 7.5 x 10^4 W motor that is 75% efficient exerts an average force of 3.5 x 10^3 N to move a boat at a constant speed. How fast is the boat moving? NOTE: efficiency = output/input. Motors are rated as to their input. 7.5 x 10^4 is the power input.

Calculation of angle of tilt and tension in a string.

A body of mass 10 kg is suspended by a light inextensible string from the roof of a train. Calculate the tension in the string and its inclination to the vertical when the train A. moves with a fixed velocity of 36 km/h. B. accelerates at 2 ms-2, C. decelerates at 6 ms-2

straight forward short calculation

A 12 pound force can lift a 150 pound force on a hydraulic lift. The smaller of the two cylinders has a cross-sectional area of 20cm^2. Calculate the cross-sectional area of the larger cylinder.

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 be ...continues

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?