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Q1. A hockey player is standing on his skates on the frozen pond when an opposing player, moving with a uniform speed of 13 m/s, skates by with the puck. After 2.5 s, the first player makes up his mind to chase his opponent.
(a) If he accelerates uniformly at 4.0 m/s2, how long does it take him to catch his opponent? (Imagine the player with the puck remains in motion at constant speed.)
(b) How far has he travelled in this time?
Q2. The pilot of an aircraft wishes to fly due west in a 57 km/h wind blowing toward the south. The speed of the aircraft relative to the air is 200km/h.
(a) In what direction should aircraft head?
(b) What will be its speed relative to ground?
The altitude of a hang glider is increasing at a rate of 6.80 m/s. At the same time, the shadow of the glider moves along the ground at a speed of 15.5 m/s when the sun is directly overhead. Calculate the magnitude of the glider’s velocity.
Compute the coefficient of kinetic friction
Illustration on Eratosthenes' process
A toy of mass 0.155 kg is undergoing SHM on the end of a horizontal spring with forces constant 305 N/m. When object is a distance 1.20×10-2 m from its equilibrium position, it is observed to have the speed of 0.255 m/s.
Obtain a relation between the equilibrium lattice distance
A plate carries a charge of -3.9 µC, while a rod carries a charge of +2.2 µC. How many electrons should be transferred from the plate to the rod, so that both objects have the same charge.
A pendulum of length 1.5 m is held out to point A. At the vertical position, an overhang effectively cuts the length of the pendulum by an amount equal to 1.09 m. (That is, 1.0 m is no longer free to swing.) How long does this pendulum take for one o..
How much farther from the tower does the cannonball from the higher cannon land than cannonball from the lower cannon.
Find the distance from the mirror to the point where the reflected rays meet.
As part of a safety investigation, two 1800 cars travelling at 18 are crashed into different barriers. Find an average forces exerted on (a) car that hits a line of water barrels and takes 1.80 to stop, and (b) car that hits a concrete barrier and ta..
A snowmobile climbs a hill at velocity v-up. The slope of the hill is a 2 ft rise for every 70 ft of distance. The resistive force of the snow is equal to 4.12 percent of the weight of the snowmobile. How fast will the snowmobile move downhill, assum..
A small car with mass 0.690 travels at constant speed on the inside of the track that is a vertical circle with radius 5.00. If the normal force exerted by the track on the car when it is at the top of the track (point) is 6.00, what is the normal fo..
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