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A double speed trap is set up on a freeway. One police cruiser is hidden behind a billboard, and another is some distance away under a bridge. As a sedan passes by the first cruiser, its speed is measured to be 99.7 mph. Since the driver has a radar detector, he is alerted to the fact that his speed has been measured, and he tries to slow his car down gradually without stepping on the brakes and alerting the police that he knew he was going too fast. Just taking the foot off the gas leads to a constant deceleration. Exactly 5.46 s later the sedan passes the second police cruiser. Now its speed is measured to be only 69.1 mph, just below the local freeway speed limit. a) What is the value of the deceleration? [use metric units] b) How far apart are the two cruisers? [use metric units]
A 24 inch string is wrapped around the 1/8 inch radius axis of a yo yo. Starting from rest, the yo yo descends with the constant angular acceleration of 4 rad/seconds squared. How long will it take the string to totally unwind.
A coil of 15 turns and radius 10.0 cm surrounds a long solenoid of radius 2.00 cm and 1000 turns/meter. The current in the solenoid changes as I = (5.00 A) sin(120t). Find the induced emf in the 15-turn coil as a function of time.
A jet of water squirts out horizontally from a hole near the bottom of the tank. If the hole has a diameter of 3.40 mm, what is the height, h, of the water level in the tank.
Different values of the energy
on one particular shot, his 1.00 g pellet gets stuck in the cheese, causing it to slide 25 cm before coming to a stop. If the muzzle velocity of the gun is 64m/s and cheese has a mass of 98 g, what is the coefficient of friction between the cheese..
On a safari, you are spearfishing while wading in a river. You observe a fish gliding by you. If your line of sight to the fish is 64.0° below the horizontal in air, and suppose the spear follows a straight-line path through the air and water afte..
An amount of ideal gas is con?ned to a sealed box at one-half atmospheric pressure, i.e., 50.65 kPa. With clever control, the volume of the box is reduced to 1/8 of its original value (without any gas leaking in or out), while the temperture is ke..
charge of -2.95 µC is fixed at the center of a compass. Two additional charges are fixed on the circle of the compass, which has a radius of 0.097 m. The charges on the circle are -3.85 µC at the position due north and +5.20 µC at the position due ea..
Find out an effective coefficient of kinetic friction
What is the minimum speed you must give the air at the top. find its final kinetic energy.
Determine the linear (tangential) acceleration of the rim of the bicycle's wheels (in the reference frame of a cyclist riding the bike).
a car traveling due east at 20 m/s reverses its direction over a period of 10 seconds so that it is traveling due west at 20 m/s. What is the direction of the car's average acceleration over this period?
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