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A 3 kg box is released from rest on a smooth curved surface 5 m above the bottom as shown. At the bottom the box encounters a spring with a spring constant k=400 N/m. What is the speed of the box j
A pendulum bob of mass m is released from a height H above the lowest point. It collision at the lowest point with another pendulum of the same length but with bob of mass 2m initially at rest. Find
What is the rotational inertia of the board plus children about a vertical axis through the center of the board?
The ball then slides along the table and makes an elastic head-on collision with a second ball of equal mass that is initially at rest. Find the velocity of the second ball just after it is struck.
What is your gravitational potential energy at the plane's 13-km cruising altitude? What is your gravitational potential energy in Denver?
A cone with a base radius of R contains a charge inside its surface. the flux through the curved portion of the cone's surface is +20.8Nm^2/C; the flux through the flat base is +7.45Nm^2/C. what is
A solenoid 30.0 cm long and with a cross-sectional area of 0.600 cm^2 contains 460 turns of wire and carries a current of 70.0 A. A. Calculate the magnetic field in the solenoid.
Assume the spear gun barrel is 1.80 m above the water surface, the fish is 1.40 m below the surface, and the spear travels in a straight line all the way to the fish.
A 190 g copper bowl contains 190 g of water, both at 19.0°C. A very hot 470 g copper cylinder is dropped into the water, causing the water to boil, with 4.88 g being converted to steam. The fin
Fabry-Perot fringes are projected on to a screen using a lens of focal length 1.00 m. Calculate the order number mc of the bright central fringe (which is the highest order), and use this to calcula
A uniformly charged isolated conducting sphere of 1.2 m diameter has a surface charge density of 8.1 mC/m2. Use Gauss's Law (properly) to calculate each of the following (remember to define a Gaussi
An asteroid is discovered in a nearly circular orbit around the Sun, with an orbital radius that is 2.25 times Earths. What is the asteroid's orbital period, its "year," in terms of Earth years?
After a package is ejected from the plane, how long will it take for it to reach sea level from the time it is ejected? Assume that the package, like the plane, has an initial velocity of 260 mph in
(a) How much work does he do during a 143-km race in which his average speed is 11.3 m/s? (b) Often, the work done is expressed in nutritional Calories rather than in joules. Express the work done i
Ships A and B leave port together. For the next two hours, ship A travels at 15.0 mph in a direction 35.0 ^ west of north while the ship B travels 35.0 ^ east of north at 25.0 mph. What is the dista
A hammer slides down a roof that makes a 40 degree angle with the horizontal. What are the magnitudes of the components of the hammer's velocity at the edge of the roof it it is moving at a speed of
Pitcher's mounds are raised to compensate for the vertical drop of the ball as it travels a horizontal distance of 17 m to the catcher. If a pitch is thrown horizontally with an initial speed of 33
The skier's mass is 55.0 kg, and the coefficient of kinetic friction between the skis and the snow is 0.150. Find the magnitude of the force that the tow bar exerts on the skier.
You draw 270 mL of 10 degrees celcius water from the tap and pop it into a 900-W microwave oven to heat for tea. How long should you microwave the water so it just reaches the boiling point?
A biology lab's walk-in cooler measures 3.0 m by 2.0 m by 2.3 m and is insulated with 8.0-cm-thick Styrofoam. If the surrounding building is at 20 degrees celcius, at what average rate must the cool
How much heat is required to raise an 720 g copper pan from 15 degrees celcius to 86 degrees celcius if (a) the pan is empty; (b) the pan contains 1.8 kg of water; and (c) the pan contains 4.5 kg of
Neutrons are slightly more massive than protons. If the mass of a neutron were smaller than its actual value, yet still more massive than a proton, a nucleus with a very high atomic number would mos
A stable nucleus contains many protons very close to each other, all positively charged. Why do the protons not fly apart due to mutual Coulomb repulsion?
Using cylindrical coordinates find the canonical transformation corresponding to new aces rotating about the z-axis with an arbitrary time dependent angular velocity. Verify that your proposed solut
A disk of mass m and radius R starts form rest at the top of a 30 degree incline with a height of 2m. If the disk rolls without slipping, what is its linear speed at the bottom of the incline?