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A ship's mast reaches to a height of 15 meters above the surface of a 10-meter-deep lake. When the sun is 30° above the horizon, how long will the shadow of the mast be on the bottom of the lake?
A uniform-density 8 kg disk of radius 0.27 m is mounted on a nearly frictionless axle. Initially it is not spinning. A string is wrapped tightly around the disk, and you pull on the string with a constant force of 39 N by a distance of 0.7 m. Now ..
A solid, uniform disk of radius 0.250 m and mass 62.3 kg rolls down a ramp of length 4.70 m that makes an angle of 18° with the horizontal. Find the angular speed of the disk at the bottom of the ramp
A parallel-plate capacitor is made from two plates 12.5 cm on each side and 4.20 mm apart. Half of the space between these plates contains only air, but the other half is filled with Plexiglas of dielectric constant 3.40.
A spring has a force constant of 931N/m and an unstretched length of 8 cm. One end is attached to a post that is free to rotate in the center of a smooth table.
Determine the capacity of a roll crusher. The separation is 7 mm, speed of the rollers is 50 rpm, roller diameter is 23 cm, roller length is 0.4 m
A small, 300 g cart is moving at 1.10 m/s on an air track when it collides with a larger, 4.00 kg cart at rest, What is the speed of the large cart after the collision
The coil is flipped so its plane is vertical to the magnetic field in 0.050 s. What is the magnitude of the average induced emf.
Suppose the highway is icy and the coefficient of friction between the tires and pavement is only one-third what you find in part (a). Illustrate what should be the maximum speed of the car so it can round the curve safely?
A football kicked off at an angle 20° from the ground reaches a maximum height of 4.7 m. What is the initial velocity of the kick
An implanted pacemaker supplies the heart with 72 pulses per minute, each pulse providing 3.0 V for 0.95 ms, Find the current that flows during a pulse
On a workday the average decibel level of a busy street is 71 dB, with 100 cars passing a given point every minute. If the number of cars is reduced to 40 every minute on a weekend
A 1.30-kg ball, moving to the right at a velocity of +4.52 m/s on a frictionless table, collides head-on with a stationary 8.40-kg ball. Find the magnitude and direction of the final velocity of the two balls if the collision is completely inelastic
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