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A student of mass m = 49 kg wants to measure the mass of a playground merry-go-round, which consists of a solid metal disk of radius R = 1.5 m that is mounted in a horizontal position on a low-friction axle. She tries an experiment: She runs with speed v = 6.5 m/s toward the outer rim of the merry-go-round and jumps on to the outer rim, as shown in the figure. The merry-go-round is initially at rest before the student jumps on and rotates at 1.3 rad/s immediately after she jumps on. You may assume that the student's mass is concentrated at a point. If it takes 36 s for the merry-go-round to come to a stop after the student has jumped on, what is the average torque due to friction in the axle?
Suppose that a standing wave on the flagpole gives rise to a sound wave of the same frequency. A person would be able to hear the sound produced by the above standing wave, What is the lowest flagpole harmonic the mouse can hear
A concave cosmetic mirror has a focal length of 24 cm. A 5.0 cm -long mascara brush is held upright 12 cm from the mirror.
A conveyor belt is moving horizontally with a constant speed of 7 m/s (wrt earth). What is displacement of the bag (wrt earth) by the time it reaches the speed of the belt
The Hubble Space Telescope orbits Earth 601 km above Earth's surface. What is the period of the telescope's orbit
A nuclear power plant has a power output of 1004 MW and operates with an efficiency of 32%. If excess heat is carried away from the plant by a river with a flow rate of 1e6 kg/s, what is the rise in temperature of the flowing water?
One kilogram of water vapor (as an ideal gas) is filled in a frictionless piston-cylinder assembly. The piston can move freely in the cylinder and it is in surroundings of 1 atm. Determine the heat transfer for the process
If one arm of a Michelson interferometer contains a tube 2.5 cm long that is ?rst evacuated and then slowly FIlled with air (n=1.0003)
6.00 mole of nitrogen (N2) gas and 6.00 mole of argon (Ar) gas are in separate, equal-sized, insulated containers at the same temperature. What is the change in entropy of the environment
A steel tank contains 301 g of ammonia gas (NH3) at a pressure of 1.35 ? 106 Pa and temperature of 71°C. What is the volume of the tank
A projectile is fired in such a way that its horizontal range is equal to 2 times its maximum height. What is the angle of projection
What is the phase constant of the motion and what are its position and direction of travel at t = 2.00 s, what is the first time when the object is at maximum velocity?
A child is twirling a 0.0224-kg ball on a string in a horizontal circle whose radius is 0.104 m. The ball travels once around the circle in 0.350 s. Determine the centripetal force acting on the ball
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