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(1) A hydraulic press has an input piston with a diameter of 0.375 cm and an output piston with a diameter of 8.0 cm. Calculate the force needed at the input piston to create an output force of 60,000 N.
(2) A 120 kg barrel which is initially at rest is rolled down an inclined plane. The friction between the barrel and the surface of the plane is negligible. If the point where the barrel is released is 1.5 m above the ground at the end of the inclined plane, calculate the barrel's velocity when it reaches the ground level.
a projectile is fired with an initial speed of 64.8m/s at an angle of 44.3 degrees above th horizontal on a long flat firing range. determine the direction of the projectile
An 8-g bullet is fired into a 170 g block that is initially at rest at the edge of a table of 1m height. The bullet remains in the block, and after the impact the block lands d = 2.10 m from the bottom of the table. Determine out the initial speed..
A hot-air balloon is ascending at the rate of 11 m/s and is 68 m above the ground as a package is dropped over the side. How long does it take to reach the ground.
The cord is after that pulled from below, shortening the radius of the circle in which block revolves to 0.15. Model the block as a particle.
Space invaders land on earth. On the invaders' temperature scale, the ice point is at 25°I (I = invader), and the steam point is at 153°I.
A 90 kg astronaut and a 1600 kg satellite are at rest relative to the space shuttle. The astronaut pushes on the satellite, giving it a speed of 0.24 m/s directly away from the shuttle.
A satellite with a mass of 750 kg is in orbit around the earth. It is initially located at the altitude (measured from the earth's surface) of 2.12 x 106 m. It is then moved into a new orbit, with an altitude of 4.25 x 10^6 m (again, measured from..
Heat is extracted from a certain quantity of steam at 100 degrees celsius. Thus the steam changes into ice at 0 degrees celsius. If this energy were used to accelerate the ice from rest, what would be the linear speed of the ice.
A golf ball is struck off a tee (negligible height and air resistance) with initial velocity of 50 meters per second at an angle of 30 degrees above the horizontal. Illustrate what will be the vertical component of velocity after 2.5 seconds?
A 5.29-kg ball hangs from the top of a vertical pole by a 2.09-m-long string. Calculate the angle, between 0° and 90°, that the string makes with the pole
A 80 g, 37 cm long rod hangs vertically on a frictionless, horizontal axle passing by its center. A 15 g ball of clay traveling horizontally at 2.7 hits and sticks to the very bottom tip of rod.
The difference in potential between the accelerating plates of a TV set is about 26000 V. If the distance between these plates is 1.5 cm, find out the magnitude of the uniform electric field in this region.
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