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Q1. A trough is 5 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of y=x10 from x=1 to x=1. The trough is full of water. Find out the amount of work in foot-pounds required to empty the trough by pumping the water over the top. Note: The weight of water is 62 pounds per cubic foot.
Q2. 0.245 kg skeet (clay target) is fired at an angle of 33degrees to the horizon with a speed of 24.4 m/s. When it reaches the highest height, h, it is hit from below by the 15 m g pellet travelling vertically upward at a speed of 188m/s. The pellet is embedded in the skeet. How much extra distance, ?x, does the skeet travel because of the collision?
How much force, in Newtons, is needed to accelerate a truck with a mass of 1500 kilograms from a full stop to 40 m/s in 10 seconds if the rate of acceleration is constant.
What was an initial speed of the ball
He would like a prescription for contact lenses to serve the same purpose. What is the exact contact lens prescription, in diopters.
A jogger runs 100m due east, then changes direction for the second leg of the run. At the end of the run, she is 350m away from the starting point at an angle of 25.0° north of east. What were the direction and length of her second displacement? Util..
The cord between the pouch and the person's hand has negligible mass and will break when the tension in the cord is 33.0 N or more. Assume the sling thrower could gradually increase the speed of the stone.
Suppose you wish to fabricate a uniform wire out of 2.6 g of copper. If the wire is to have a resistance of R = 0.25 and if all of the copper is to be used, what must be the length of the wire in m and the diameter of the wire in mm.
A 44.20 cm diameter disk rotates with a constant angular acceleration of 2.84 rad/s2. It starts from rest at t = 0, and a line drawn from the center of the disk to a point P on the rim of the disk makes an angle of 57.3° with the positive x-axis at t..
How the system comes to thermal equilibrium
A student removes a 10.50 kg stereo from a shelf that is 1.802 m high. The amplifier is lowered at a constant speed to a height of 0.75 m. What is the work done by a) person and b) gravitational force that acts on the amplifier.
A force of k is applied to an object for a small fraction of a second, t_k, less than the duration of one frame, t_f. Our simulation doesn't support applying forces for less than an entire frame, so if we wanted to simulate the effect of force k over..
An airplane flies due west at a velocity of 645 kilometres per hour (km/h). The wind blows from the north at a velocity of 125 kilometres per hour (km/h). Find the plane resultant velocity?
Write down an expression for the mass of the nucleus
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