A marble of mass M and radius R rolls without slipping

Elementary Statistics: Picturing the World 6
Problem 22E Finding Probabilities Use the probability distribution you made in Exercise to find the probability of randomly selecting an employee whose overtime is (a) two or three hours, (b) three hours or less, and (c) between two and five hours, inclusive. Exercise Overtime Hours The number of o

Physics: Principles with Applications 7
Romeo is throwing pebbles gently up to Juliets window, and he wants the pebbles to hit the window with only a horizontal component of velocity. He is standing at the edge of a rose garden 8.0 m below her window and 8.5 m from the base of the wall (Fig. 349). How fast are the pebbles going when they h

Physics for Scientists and Engineers: A Strategic Approach with Modern Physics 3
Problem 61P a. Your goal in laboratory is to launch a ball of mass m straight up so that it reaches exactly height h above the top of the launching lube. You and your lab partners will earn fewer points if the ball goes too high or too low. The launch tube uses compressed air to accelerate the ball

Physics for Scientists and Engineers with Modern Physics 9
Why is the following situation impossible? In the Bohr model of the hydrogen atom, an electron moves in a circular orbit about a proton. The model states that the electron can exist only in certain allowed orbits around the proton: those whose radius r satisfies r 5 n2 (0.052 9 nm), where n 5 1, 2, 3

Urban Economics 8
Consider a region where the self-sufficient wage is constant at $4. Suppose the payoff from innovation in a city with population n (measured in thousands) is a. Suppose a group of 1 (thousand) workers form a city. Will other workers have an incentive to join the cluster? b. Suppose a group of 9

Urban Economics 8
Suppose that personal grooming and pet grooming are complementary products. Betty Beehive could move her beauty shop from an isolated location to a minimall that also contains Peters pet-grooming shop. If she moves, she will attract some of Peters customers and her pre-rent profit will increase by $1

Plant Systematics 3
What is the difference between a silique and a silicle? What family do they occur in?

Biology: The Unity and Diversity of Life 15
Bluebirds are songbirds that, like wood ducks, nest in cavities in trees. European house sparrows, which have been introduced to North America, also nest in such cavities. Explain how the arrival of the house sparrows affected the carrying capacity for bluebirds. What affect would you expect this cha