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Q. A steel aircraft carrier is 370 m long when moving through the icy North Atlantic at a temperature of 2°C. By how much does the carrier lengthen when it is travelling in the warm Mediterranean Sea at the temperature of 21 °C?
Q. When you take a bath, how many kilograms of hot water (51 °C) must you mix with cold water (14°C) so that the temperature of the bath is 36 °C? The total mass of water (hot plus cold) is 192kg. Avoid any heat flow between the water and its external surroundings.
The radar system at an airport broadcasts 15 GHz with 150 kW. An approaching airplane with a 34 m^2 cross section is 24km away. Assume that the radar broadcasts uniformly in all directions and that the airplane scatters microwaves uniformly in all di..
Far in space, where gravity is negligible, a 485kg rocket traveling at 95.0m/s fires its engines. It shows the thrust force as a function of time. The mass lost by the rocket during these 30 s is negligible.
A woman stands on a scale in a moving elevator. Her mass is 60.9 kg, and the combined mass of the elevator and scale is an additional 819 kg. Starting from rest, the elevator accelerates upward. Through the acceleration, the hoisting cable applies a ..
A bicycle wheel of mass M (assumed to be concentrated at its rim) and radius R is mounted horizontally so it may turn without friction on a vertical axle. A dart of mass mo is thrown with velocity vo above and sticks in the tire.
A rocket ship at rest in space gives a short blast of its engine, firing 90 kg of exhaust gas out the back end with an average velocity of 700 m/s.
How long does it take for amplitude to drop to half its initial value . How long does it take for mechanical energy to drop to half its initial value.
An object with a height of 42 cm is placed 2.2 m in front of a concave mirror with a focal length of 0.45 m. Determine the location and magnification of the image produced by the mirror, using the mirror and magnification equations.
At t = 0 a grinding wheel has an angular velocity of 23.0 rad/s. It has a constant angular acceleration of 31.0 rad/s2 until a circuit breaker trips at t = 2.00 s. From then on, it turns by 432 rad as it coasts to a stop at constant angular accele..
A hockey stick is swung with an average angular acceleration of 1.5 rad/s2. What is an angular velocity of the stick when it strikes the ball at the end of 0.8 second swing.
What is the magnitude of vertical component of its velocity as it strikes the ground.
Two lenses that are L = 42 cm apart are used to form an image, as shown in figure. Find the distance from lens and magnification of the image.
Landing on the Moon, a spacecraft fires its retrorockets and comes to a complete stop just 19m above the lunar surface. It then drops freely to surface.How long does it take to fall in seconds? What is its impact speed in meter per seconds.
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