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1.A power station converyor belt lifts 9 tons of ore to a height of 60 feet in 1.1 hours. What average horsepower is required? Avg horsepower = 2.A 100 kW engine is used to lift a 90 kg load . What is the average velocity of the lift? Velocity = 3.A speedboat must develop 100 horsepower in order to move at a constant speed of 47 mph through the water. What is the average resistive force through the water? Avg Resistant Force = 4.To what height can a 535 W engine lift a 70 kg mass in 5 seconds? Height = 5.A 10 kg crate is moved from the ground up a loading platform 8 m long and 2 m high. Assume the coefficient of kinetic friction is 0.21. What is the actual mechanical advantage and incline plane efficiency? Actual MA = Incline Efficiency = 6.A 22 kg mass is to be lifted with a rod 2.06 m long. If you can exert a downward force of 60 N on one end of the rod, where should you place a block of wood to act as the fulcrum? Fulcrum Distance = 7.A 60 Watt motor lifts a 2.4 kg mass to a height of 4.2 m in 3 seconds. Compute the output power and efficiency. Output Power = Efficiency = 8.A belt drive has output and input diameters of 7 inches and 5 inches respectively. If a torque of 220 ftlbs is applied on the input drive, what is the output torque? Torque Out = 9.Two metal balls with equal masses are suspended, as shown in the following figure. If the ball on the right is lifted to a height of 1.9 feet and released to collide into the ball standing still, to what height will the resting ball rise? What velocity will the first ball collide into the standing still ball? Collision velocity = Height = 10.A car traveling at 30 m/s crashes into a truck with a mass of 9,800 kg stopped at a stoplight. What is the velocity of the wreckage immediately after the crash if the cars mass is 1,800 kg? (assume the truck and car stay together as one object) Velocity after impact = 11.A 3 kg ball travels from left to right at 6 m/s. A bat drives the ball in the opposite direction with a velocity of 23 m/s. If the time of contact was 0.14 seconds, what was the average force on the ball? Average Force = 12.A red billiard ball moving to the left -30 cm/s collides head on with a green ball moving to the right at 17 cm/s. The masses of the balls are identical. If the collision is perfectly elastic, what is the velocity of each ball after impact? Velocity of the green ball after impact = Velocity of the red ball after impact = 13.A m2 = 7 kg block of clay is suspended from the ceiling by a long cord, as seen in the following figure. A m1 = 390 gram bullet, fired horizontally, imbeds itself into the clay, causing both masses to rise to a height of 4.2 m. What is the velocity of the bullet? Bullet velocity =
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
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