Calculating the amount of ice melted using the latent heat of fusion of ice.

A 58.0 kg ice-skater moving at 6.25 m/s glides to a stop. Assuming the ice is at 0°C and that 53.5 percent of the heat generated by friction is absorbed by the ice, how much ice melts?

Working with power and volume to determine the increase in temperature of water in a lake

Lake Erie contains roughly 4.30 * 10^11 m3 of water. How many years would it take, using the full output of a 1,070 MW electric power plant, to raise the temperature of that volume of water from 10.8 °C to 12.2 °C?

Calculating the volume of an air bubble as it rises to the surface.

An air bubble has a volume of 1.37 cm3 when it is released by a submarine 123 m below the surface of a lake. What is the volume of the bubble when it reaches the surface? Assume the air temperature in the bubble stays constant.

'Net Torque = I alpha' applied to a cylinder descending as it unwraps a cord from its surface.

A cord is wrapped on the surface of a uniform cylinder, of mass M=12 kg and radius R= .36 m. Released from rest with the cord vertically tangential to its surface and tied to a ceiling support, the cylinder descends with angular acceleration A as the cord unwinds from its surface. SEE ATTACHMENT FOR PICTURE OF APPARATUS. a. Find the angular acceleration as the cylinder descends. b. Find the distance, D, the c.m. descends in the first 2.4 seconds.

Angular motion with constant acceleration of a ceiling fan. Develop and graph position vs time, etc.

A ceiling fan has one red blade. Initially rotating in a counterclockwise (positive direction) with angular velocity Wo= +30 radians per second. SEE THE ATTACHMENT FOR A PICTURE WITH KNOWN DATA. At that instant, when the red blade makes an angle Qo= +1.4 radians from the +x axis, the current is reversed and a timer is started at 0 seconds. From that instant, the rotating fan continues through additional 60 radians while coming to a momentary stop and reversing direction, all at a constant angular acceleration. a. Find A, the angular acceleration. b. Develop an equation giving Q(t), the angular position as a function of time. c. Find the angle in radians, between the plus x axis an... click for more