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A playground merry-go-round of radius R = 1.80 m has a moment of inertia I = 255 kg · m2 and is rotating at 9.0 rev/min about a frictionless vertical axle. Facing the axle, a 26.0-kg child hops onto the merry-go-round and manages to sit down on the edge. What is the new angular speed of the merry-go-round?
A 4 kg ball is raised a vertical distance of 2 meters. Using the conservation of energy principle calculate the final speed of the ball right before it hits the ground
The movement of the water because of the tides will give kinetic energy to the turbine blades, causing them to spin. In the calculations that follow ignore any frictional drag because of the seawater.
What is the piston height if the temperature is 30C. How far apart are the plates if there's air between them.
A uniform 1.3 kg rod that is 0.8 m long is suspended at rest from ceiling by two springs, one at each end of the rod. Both springs hang straight down from the ceiling.
A 44.0 kg child is in a swing that is attached to ropes 1.60 m long. The acceleration of gravity is 9.81 m/s2. Find the gravitational potential energy associated with the child relative to the child's lowest position under the following conditions.
The expression found in part (d) is a cubic equation. There are standard algebraic solutions to this type of equation, but it is sometime quicker and easier to use other methods. explain a way to get a reasonably accurate estimate of v (say, to th..
The punter on a football team tries to kick a football so that it stays in the air for a long "hang time". If the ball is kicked with an initial velocity of 25.0 m/s at an angle of 60.0 degrees above the ground, illustrate what is the "hang time"?
A typical power plant uses some fuel as the source of heat (QH) to drive a heat engine that does work (W) to drive a generator that is connected to the electrical grid. Inevitably, waste heat (QC) is dumped into a river or lake. Analysis of the pl..
High-speed stroboscopic photographs show that the head of a 280-g golf club is travelling at 58 m/s just before it strikes a 46-g golf ball at rest on a tee. After the impact, the club head travels (in the similar direction) at 52-m/s. determine t..
If the merry-go-round completes one revolution every 5.2 s, find out the angular speed and the linear speed of each child.
Compute Earth's gravitational force on the Shuttle astronauts while orbiting at an altitude of 220 miles (or 354 km) above Earth's surface.
The diffusion rate for a solute is 4.0 × 10-11 kg/s in a solvent-filled channel that has a cross-sectional area of 0.50 cm2, What would be the diffusion rate m/t in a channel with a cross-sectional area of 0.30 cm2
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