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Q. A string is wrapped around a disk of mass M and radius R. Starting from rest, you pull the string with a constant force F along a nearly frictionless surface. At the instant when the center of the disk has moved a distance d, a length L of string has unwound off the disk. At this instant, what is the speed of the center of mass of the disk?
Q. The temperature of the surface of a certain star is 7500 K. Most hydrogen atoms at the surface of the star are in the electronic ground state. What is the approximate fraction of the hydrogen atoms that are in the first excited state (and therefore could emit a photon)? The energy of the first excited state above the ground state is (-13.6/22 eV) - (-13.6 eV) = 10.2 eV = 1.632e-18 J.
To estimate the muzzle speed of a blow dart, fire dart straight up into the air and time how long it takes to come back down. Roughly half of that time is the time for object to decelerate from its initial velocity to motionless. Estimation the in..
Cold fusion theory.
A Toyota Prius driving north at 61.0 {rm mph} and VW Passat driving south at 41.0 {rm mph} are on the same road heading along each other (but in different lanes). (We take the positive direction to be north.)
At what angle must the cannon be fired
If an astronaut can throw a certain wrench 14 {rm m} vertically upward on earth, how high could he throw it on our moon if he gives it the similar starting speed in both places.
A conducting rectangular loop of mass M, resistance R, and dimensions w by l falls from rest into a magnetic field. All through the time interval before the top edge of the loop reaches the field, the loop approaches a terminal speed vT.
Two trains, each having a speed of 38 km/h, are headed at each other on the identical straight track. A bird that can fly 70 km/h flies off the front of one train while they are 68 km apart and heads directly for the other train. On reaching other tr..
A motorist travelling at 82 km/hr is being chased by a police car at 131 km/hr. If the police car starts from 3.5 km back, how long does it take to catch the motorist? Leave time in hours.
A small grinding wheel has a moment of inertia of 4.0×10-5 kg m^2. What net torque must be applied to the wheel for its angular acceleration to be 160 rad s^2.
A bumper car with mass m1 = 115kg is moving to the right with a velocity of v1 = 4 m/s. A second bumper car with mass m2 = 95 kg is moving to the left with a velocity of v2 = -3.7 m/s. The two cars have an elastic collision. Suppose the surface is fr..
A 41-kg box is thrown at a speed of 220 m/s & is brought to a halt in a collision that lasts for a time of 6.5 m/s. Find the magnitude of the average net force that acts on the box during the collision.
A 2000-kg horizontal beam is supported at each end. A 160-kg load rests a quarter of the way from one end if the beam and 120 kg cargo is 1/3 from the other end. What is the vertical force on each of the supports.
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