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Q1. A boat crosses a river of width 115 m in which the current has a uniform speed of 1.39 m/s. The pilot maintains a bearing (i.e., the direction in which the boat points) perpendicular to the river and a throttle setting to give a constant speed of 2.38 m/s relative to the water.
What is magnitude of the speed of the boat relative to a stationary shore observer?
Answer in units of m/s
Q2. A 1,720 Hz pure tone is played on a stereo in an open field. A person stands at a point that is 4 m from one of the speakers and 4.4 m from the other. Does the person hear the tone? Explain.
Q3. The Sun's diameter is 1.4 106 km and it is 1.5 108 km away. How huge is the image of the Sun on the film used in a camera with the following lens?
A playground merry-go-round of radius R = 1.60 m has a moment of inertia I = 275 kg · m2 and is rotating at 8.0 rev/min about a frictionless vertical axle. What is the new angular speed of the merry-go-round
A 10-turn square coil of wire lies in the xy-plane. A uniform magnetic field of magnitude 2.0 T oriented in the negative z-direction, what is the magnitude of the induced emf in the coil during this time
An aluminum rod is 24.0 cm long at 20°C and has a mass of 350 g. If 13,500 J of energy is added to the rod by heat, what is the change in length of the rod
State the maximum height in terms of a, t_1, and/or g. Note that in this problem, g is a positive number equal to the magnitude of the acceleration due to gravity.
A 1 cm3 air bubble at a depth of 209 meters and at a temperature of 4 oC rises to the surface of the lake where the temperature is 18 oC, what is its new volume
You are at a rock concert, and the sound intensity reaches levels as high as 120 dB. Calculate the amplitude of this oscillating force
A 0.140 kg baseball is thrown horizontally with a velocity of 28.9 m/s. It is struck with a constant horizontal force that lasts for 1.85 ms, What was the magnitude of the horizontal force
A cement block accidentally falls from rest from the ledge of a 74.8-m-high building. When the block is 18.4 m above the ground, a man, 2.10 m tall, looks up and notices that the block is directly above him. How much time, at most, does the man have ..
A baseball (m = 137 g) approaches a bat horizontally at the speed of 40.6m/s (91 mi/h) and is hit straight back at a speed of 45.1m/s (101 mi/h). If the ball is in contact with the bat for a time of 1.00 ms, what is the average force exerted on the..
Two masses are joined together by a rod with a uniform linear mass density of 400 grams per meter, What is their angular momentum
A parallel-plate capacitor is made from two plates 12.5 cm on each side and 4.20 mm apart. obtain how much energy will be stored in the capacitor
A uniformly charged insulating rod of length 19.0 cm is bent into the shape of a semicircle. The rod has a total charge of -7.50 µC. Find the magnitude and direction of the electric field at O, the center of the semicircle. EO = N/C.
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