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A car in a roller coaster moves along a track that consists of a sequence of ups and downs. Let the x axis be parallel to the ground and the positive y axis point upward. In the time interval from t=0 to t=4 s, the trajectory of the car along a certain section of the track is given by r? =A(1m/s)ti^+A[(1m/s3)t3?6(1m/s2)t2]j^, where A is a positive dimensionless constant. Derive a general expression for the speed v of the car.
A sledge loaded with bricks has a total mass of 17.8 kg and is pulled at constant speed by the rope inclined at 20.4° above the horizontal. The sledge moves a distance of 20.7 m on a horizontal surface. The coefficient of kinetic friction between ..
A plane first moves from the origin to point A located at 170 km in direction of 30 degree north of east after that it flies 150 km 20 degree west of north to point B finally it flies 195 km due west to point C. find the location of C from origin.
A roofer accidently drops a bundle of shingles. If it hits the ground with a speed of 86 m/s, how fast was it moving 3 seconds earlier (g=10 m/s/s)
What will be the equilibrium temperature when a 223 g block of copper at 258 C is placed in the 178 g aluminium calorimeter cup containing 874 g of water at 13.2 C.
A disk with a mass of 37.5kg and a radius of 38.3cm is mounted on a frictionless horizontal axle. A string is wound many times around the disk and then attached to a 56.4kg block. Find the acceleration of the block, assuming that the string does n..
What is the highest compression of the spring for a perfectly inelastic impact.
A series RLC circuit with L = 15 mH, C = 3.1 F, and R = 4.7 is driven by a generator with a maximum emf of 120 V and a variable angular frequency 8700. Find out phase angle (in degrees).
A 1.0 kg block is attached to a spring with spring constant 18.0 N/m. While the block is sitting at rest, a student hits it with the hammer and almost instantly gives it a speed of 41.0 cm/s. What is the amplitude of the subsequent oscillations? The ..
During the same interval, a 34 kg greyhound can accelerate from rest to 23 m/s. Calculate (a) the change in kinetic energy and (b) the average power output for each.
What is the maximum positive potential energy. Write down an expression for U as a function of x, with U in joules and x in meters.
A car dealer claims that his product would accelerate at a constant rate from rest to a speed of 200 km/hr in 8s. What approximate distance will the car travel.
Two circuits contain an emf produced by a moving metal rod, like that shown. The speed of the rod is the same in each circuit, other than the bulb in circuit 1 has one-half the resistance of the bulb in circuit 2.
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