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The supersonic aircraft Concorde has a length of 63.0\rm{m} when sitting on the ground on a typical day when the temperature is 18.0\rm{^{\circ}C} . The Concorde is primarily made of aluminum. In flight at twice the speed of sound, friction with the air warms the Concorde's skin and causes the aircraft to lengthen by 27.0\rm{cm} . (The passenger cabin is on rollers, so the airplane expands around the passenger cabin.) Take the coefficient of linear expansion for aluminum to be alpha = 2.40×10?5/\rm{^{\circ}C} . What is the temperature T of the Concorde's skin in flight?
What was the bullet's speed as it left the barrel. A 1kg block rests against one end of a horizontal spring which is compressed by 10 $cm$.
What is the spring constant (k) of the bungee cord.At what time will the object be moving with a speed of 15 m/s.
A stand, string, a paper or plastic cup, a nail, a roll of paper towels or similar sized paper, coloured sand, or some other dry powdery product, and a ruler or measuring tape.
A person carries a long pole of mass 20 kg and length 3.4 m at the angle of 60 degrees. Find the magnitude of the torque on the pole due to gravity.
A thermos contains 165 cm3 of coffee at 85° C. To cool the coffee, you drop two 14-g ice cubes into the thermos. The ice cubes are at first at 0° C and melt completely. What is the final temperature of coffee? Treat the coffee as if it were water.
Two ambulances move toward each other on a straight road. Each travels at a speed of 65 mph. The siren on each ambulance produces a sound wave of frequency 460 Hz. (Take the speed of sound in air to be 340 m/s.)
A mass of 1.62 kg stretches a vertical spring 0.328 m. If the spring is stretched an additional 0.136 m and released, how long does it take to reach the (new) equilibrium position again.
A 39.00 g ball is fired horizontally with initial speed v_0 toward a 110g ball that is hanging motionless from a 1.00 m-long string. The balls undergo a head-on, perfectly elastic impact, after which the 110 g ball swings out to a highest angle th..
A golfer takes two putts to get his ball into the hole once he is on green. The first putt displaces the ball into the ball 6.7 m east, and the second 2.16 m south. What displacement would have been needed to get the ball into the hole on first putt.
A person is making homemade ice cream. She exerts a force of magnitude 22 N on the free end of the crank handle, and this end moves in a circular path of radius 0.28 m. The force is always applied parallel to the motion of the handle. If the handl..
A swimmer heads directly across a river, swimming at 1.9 m/s relative to the water. She arrives at a point 34 m downstream from point directly across the river, which is 80 m wide.
Find the maximum rms current allowed in the primary circuit.
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