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1. On a hot summer day a young girl swings on a rope above the local swimming hole. When she lets go of the rope her initial velocity is 2.65 m/s at an angle of 35.0° above the horizontal. If she is in flight for 1.10 s, how high above the water was she when she let go of the rope?
2. The "hang time" of a punt is measured to be 3.50 s. If the ball was kicked at an angle of 73.0° above the horizontal and was caught at the same level from which it was kicked, what was its initial speed? (Neglect air resistance.)
An Earth satellite moves in a circular orbit 665 km above the Earth's surface. The period of the motion is 97.8 min. What is the magnitude of the centripetal acceleration of the satellite
Consider the glass prism in the figure below, for which ? = 22° and ? = 68°. What is the smallest angle ?1 for which a laser beam will undergo total internal reflection
1850 kg car is set in mottion on a level road by a spring constant k=2.40x10^6 N/m that has been compressed 1.50m. what is the intial mechanical energy of the system
the displacement of a standing wave on a string is given by D = 2.8sin(0.70x)cos(55 t), Find the speed of a particle of the string
Explorer is caught in a whiteout (in which snowfall is so thick that the ground cannot be distinguished from the sky) as returning to base camp.
A permanent dipole is at rest at origin of a coordinate system with a random orientation. What is the equilibrium orientation of the dipole
Three carts of masses m1 = 4.50 kg, m2 = 12.00 kg, and m3 = 3.00 kg move on a frictionless, horizontal track with speeds of v1 = 4.50 m/s to the right, v2 = 3.00 m/s to the right, Find the final velocity of the train of three carts
An ultrasonic transducer, of the type used in medical ultrasound imaging, is a very thin disk (m=0.10g ) driven back and forth in SHM at 1.0 MHz by an electromagnetic coil, What is the maximum oscillation amplitude that won't rupture the disk
A string of 13 identical Christmas tree lights are connected in series to a 127 V source. The string dissipates 63 W. What is the comparable resistance of light string.
Two police cars have identical sirens that produce a frequency of 560 Hz. Find the speed of the approaching police car
At an outdoor market, a bunch of bananas attached to the bottom of a vertical spring of force constant 16.0 N/m is set into oscillatory motion with an amplitude of 20.0 cm. What is the weight of the bananas in newtons
An alert physics student stands beside the tracks as a train rolls slowly past. He notes that the frequency of the train whistle is 443 Hz when the train is approaching him.
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