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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?
Three pendulums with strings of the same length and bobs of the same mass are pulled out to angles q1, q2 and q3 correspondingly and released. The approximation sin q = q holds for all three angles, with q3 > q2 > q1. How do angular frequencies of th..
A 3.20 kg block of wood sits on a table. A 2.50 g bullet, fired horizontally at a speed of 600 m/s, goes completely through the block, emerging at the speed of 180m/s. What is the speed of the block immediately after the bullet exits.
An elevator cable can withstand a maximum tension of 19,500N before breaking. The elevator has a mass of 480 kg and a maximum acceleration of 2.24 m/s2. Engineering safety standards require that the cable tension never exceed two-thirds of the breaki..
Meanwhile, Isaac is piloting his ship in the westward direction, also at 0.89, toward Albert's ship. With what speed does Isaac see Albert's light beam pass his ship.
On a cello, the string with the largest linear density (1.54 10-2 kg/m) is C string. This string produces a fundamental frequency of 63.4 Hz and has the length of 0.795 m between the two fixed ends. Find tension in the string.
The scalar product of vectors and is +51.0. Vector has magnitude 9.00 and direction 28.0 west of south. If vector has direction 36.0 south of east, what is the magnitude of.
A bumper car with mass m1 = 115kg is moving to the right with a velocity of v1 = 4 m/s. A second bumper car with mass m2 = 95 kg is moving to the left with a velocity of v2 = -3.7 m/s. The two cars have an elastic collision. Suppose the surface is fr..
What is velocity relative to the ice surface
A uniform shaft, fixed at one end & free at other, is twisted so that each cross - section rotates through an angle proportional to the distance from the fixed end. If the shaft is released from rest in this position, determine the s
Differences in analysing a roller coaster system as particle and rigid body, such as the assumption(s) made when treating the roller coaster as particle, parameters involved in kinematic and kinetic analysis.
On a cool morning, when the temperature is 16.0 ^circC, you measure the pressure in your car tires to be 20.0 psi. After driving 30.0mi on the freeway, temperature of your tires is 51.0 ^circC.
Which of the planets fits the following description: "a solid, cool surface, with occasional dust clouds and a thin CO2 atmosphere".
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