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Q. A laser beam is incident on a 45°-45°-90° prism perpendicular to one of its faces. The transmitted beam that exits the hypotenuse of the prism makes an angle of 15° with the direction of the incident beam. Find the index of refraction of the prism. (Use the following as necessary: θ1 = 15°, θ2 = 45°)
Q. A block of wood of mass 2 kg is suspended by long, light strings and is at rest. A bullet of mass 40 g, strikes and remains in the block, causing it to swing. The maximum height of the block above its rest position is 51 cm. Find:
a) the kinetic energy of the bullet plus block immediately after impact;b) the velocity of the bullet at impactc) the kinetic energy of the bullet at impact.Why are the answers to a) and c) not equal?
A sample of animal bone unearthed at an archaeological site is found to hold 173 grams of carbon and the decay rate of 14-C in the sample is measured to be 8.10 Bq. How old is the bone.
approximately what is the mass of an object whose weight equals the force from part "b"? can you lift such a mass.
How many liters of gasoline would give the same mechanical energy given that each liter provides 8.50x10^6 J of mechanical energy.
A plate of glass with parallel faces having a refractive index of 1.57 is resting on the surface of water in tank. A ray of light coming from above in air makes an angle of incidence 34.5 degrees with normal to the top surface of the glass.
Mars Rover When the Mars rover was deployed on the surface of Mars in July 1998, radio signals took about 14 {rm min} to travel from Earth to the rover. How far was Mars from Earth at that time.
A 1000 {rm kg} wrecking ball hangs from a 15 {rm m}-long cable. The ball is pulled back until cable makes an angle of 25.0^circle with the vertical. By how much has the gravitational potential energy of the ball changed .
An airplane is flying with a velocity of 82 at an angle of 25 above the horizontal. When the plane is a distance 125 straight above a dog that is standing on level ground, a suitcase drops out of the luggage compartment. How far from the dog will ..
The temperature of the surface of a certain star is 7500 K. Most hydrogen atoms at surface of the star are in the electronic ground state. What is the approximate fraction of hydrogen atoms that are in the first excited state (and therefore could ..
An object, at the top of a very tall building, is released from rest and falls freely due to gravity. Neglect air resistance and compute distance covered by the object between times t1 = 5.5 s and t2 = 7.9 s after it is released.
At one instant a bicyclist is 50 m due east of a park's flagpole, going due south with a speed of 9 m/s. Then, 24 s later, the cyclist is 45 m due north of the flagpole, going due east with a speed of 20 m/s. For the cyclist in this 24 s interval,..
You travel to an alien planet. The local population tries very hard to tell you what gravity is on the surface. You cannot understand them, and do not have a tool to calculate gravity directly. You also ran out of water. They offer a liquid to you, o..
On a dry day, just after washing your hair to remove natural oils and drying it in detail, run a plastic comb through it. Small bits of paper will be attracted to the comb. Describe why.
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