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While driving on the (straight) highway at a constant speed v0, considerably above the speed limit, you pass in front of a parked police car without noticing it. After a few seconds, through which time you have moved a distance d, the police car starts chasing you with a constant acceleration a0. Determine your answers in terms of v0, d, and a0 and check the units of your answers. Suppose that you keep moving at a constant speed.
1. How long will it take for the police car to reach you?
2. How far has the police car travelled when it reaches you?
3. What is the speed of the police car when it reaches you?
An aluminium block of mass m1 = 3.45 kg and a copper block of mass m2 = 6.30 kg are connected by a light string over a frictionless pulley. They sit on a steel surface, where θ = 40.0°
A 1.60 kg ball and a 7.20 kg ball are connected by an 80.0 cm long massless, rigid rod. The structure rotates about its center of mass at 320.0 rpm. What is the rotational kinetic energy of the structure?
A muon formed high in Earth's atmosphere travels towards Earth at a speed v = 0.97c for a distance of 4.1 km as measured by an observer at rest with respect to Earth. Compute the gamma factor associated with the muon
A 150-g aluminum cup contains 900 g of water in thermal equilibrium with the cup at 85°C. The combination of cup and water is cooled uniformly so that the temperature decreases by 1.6°C per minute. At what rate is energy being removed? Express your a..
A Step-Up transformer with 60 Hz AC power has an input voltage of 1000 V at a current of 2 Amperes, What is the current flowing out of the transformer
Suppose the barrel has a length of 0.511 m and an opening whose radius is 2.55 x 10-3 m. A bullet (mass = 2.6 x 10-3 kg) has a speed of 433 m/s after passing through this barrel. Ignore friction and determine the average pressure of the expanding ..
An 810 kg race car can drive around an unbanked turn at amaximum speed of 60 m/s without slipping. The turn has aradius curvature of 150 m. Air flowing over the car's wing exerts adownward-pointing force (called the downforce) of 11500 N on the ca..
A collimated gamma ray beam consists of equal numbers of 0.1 MeV and 1.0 MeV photons. If the beam enters a 5 cm thick lead shield, what is the relative portion of 1 MeV photons to 0.1 MeV photons in the emergent beam? State the source of all values u..
a cylindrical diving bell 3.4 m in diameter and 3.7 m tall with an open bottom is sub- merged to a depth of 145 m in
Jim paddles a canoe across a river that is 20 meters wide in 2.0 minutes. Uopon reaching the other side, he realizes that the river carried him 12 meters east of his starting point. If the water flowed towards the east with consant velocity and his c..
What is the shortest height a plane mirror must be so that a person who is 1.6 meters tall is able to see his or her whole body? plan a ray diagram to support your answer.
If instead you made a mistake and compressed the spring 15 centimeter from its equilibrium position, calculate how fast would the block be traveling when it passed the 50 cm point up the incline
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