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When a bucket of water is swung in a vertical circle, the water will remain in the bucket if the velocity is kept high enough.
Two soccer players start from rest, 49.0 m apart. They run directly toward each other, both players accelerating.
I saw a stunt in which a clown fired out of a cannon and landed in a speeding toy fire engine which was racing away from him.
Bernoulli's equation determines ejection velocity of liquid from a tank. Motion equations find x,y coordinates of impact of the liquid.
Find the difference in pressure between two points, if one point, in the smaller pipe is 8 meters above the point in the larger pipe.
An X-ray source of unknown wavelength is directed at a carbon sample. An electron is scattered with a speed of 4.5x107m/s at an angle of 60°.
The speed of light is 2.998 * 10 ^8 m/s. Find the ratio of the total energy to the rest energy of a particle of rest mass m0 moving with speed 0.26 c.
A marble and a cube are placed at the top of a ramp. Starting from rest at the same height, the marble rolls and the cube slides (no kinetic friction).
A simple way to measure the speed of a bullet is with a ballistic pendulum. This consists of a wooden block mass, M, into which the bullet mass, m, is shot.
Can you show that the momentum P and the kinetic energy T of a particle of rest mass M can be related by: P^2=2TM+T^2.
A gun is fired at a target 12km away at an angle of 35deg and hits target.How long is the projectile in the air and what's it's velocity?
Both the Coulomb law and gravitational forces lead to potential energies of the form U = ?/x r1 - r2x, ? where denotes kq1q2 in the case of the Coulomb force
A 2100.00 kg car moving at 27.50 m/s hits an initially uncompressed horizontal spring with spring constant of 1.60à?10^6 N/m.
During a takeoff a small plane has an average tangential acceleration of 5.0 m/s^2 and travels for 20 s before becoming airborne.
Where does the graph of the equation y=mx+b cross the x-axis?
Use differentiation to find a general expression for the rocket's velocity as a function of time.
A construction worker on a new high-rise building drops a wrench and it falls 78.4 m to the ground.
A wave having frequency 20Hz and wavelength 5m is traveling away from its source. What is the distance traveled by this wave in 15 sec?
A 1000-kg Volkswagen with speed 30m/sec collides head-on with a large truck of mass 10,000kg and speed 25m/sec.
A jumbo jet must reach a speed of 360 km/h on the runway for takeoff. What is the least constant acceleration needed for take off from a 1.80m runway?
A boat leaves one bank of a river and heads in such a direction as to arrive at a point downstream and across the river.
A rock is dropped off the side of a bridge and hits the water below 2 seconds later.
A projectile is fired in such a way that its horizontal range is equal to three times its maximum height. What is the angle of projection?
Find the tension T1 in the rod between the masses, and also the tension T2 in the rod betwen pivot and the center mass.
A system is composed of N one dimensional classical oscillators. Assume that the potential for the oscillators contains a small quartic "anharmonic" term