A hard rubber ball, released at chest height, falls to the pavement and bounces back to nearly the same height. When it is in contact with the pavement, the lower side of the ball is temporarily f fattened. Suppose the maximum depth of the dent is on the order of 1 cm. Find the order of magnitude of the maximum acceleration of the ball while it is in contact with the pavement. State your assumptions, the quantities you estimate, and the values you estimate for them.
A hard rubber ball, released at chest height, falls to the pavement and bounces back to nearly the same height. When it is in contact with the pavement, the lower side of the ball is temporarily f fattened. Suppose the maximum depth of the dent is on the order of 1 cm. Find the order of magnitude of the maximum acceleration of the ball while it is in contact with the pavement. State your assumptions, the quantities you estimate, and the values you estimate for them.
Solution Summary: The author explains the order of magnitude of the maximum acceleration of a ball while it is in contact with the pavement. The formula to calculate the final velocity of ball thrown vertically downward is v2=
A hard rubber ball, released at chest height, falls to the pavement and bounces back to nearly the same height. When it is in contact with the pavement, the lower side of the ball is temporarily f fattened. Suppose the maximum depth of the dent is on the order of 1 cm. Find the order of magnitude of the maximum acceleration of the ball while it is in contact with the pavement. State your assumptions, the quantities you estimate, and the values you estimate for them.
Under certain conditions, tsunami waves encountering land will develop into bores. A bore is a surge of water much like what would be expected if a dam failed suddenly and emptied a reservoir into a river bed. In the case of a bore traveling from the ocean into a dry river bed, one study† shows that the velocity V of the tip of the bore is proportional to the square root of its height h. This is expressed in the formula below, where k is a constant.
V = kh0.5
A bore travels up a dry river bed. How does the velocity of the tip compare with its initial velocity when its height is reduced to one third of its initial height? (Round your answer to two decimal places.)
The velocity changes by a factor of ______.
How does the height of the bore compare with its initial height when the velocity of the tip is reduced to one quarter of its initial velocity? (Round your answer to two decimal places.)
The height is reduced to ______ of the initial height.
If the tip of one bore surging up…
A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v = 23.0 m/s. The rock leaves his hand at a height of
h = 43.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the
cliff, directly below where the rock leaves the hand.
4
7
i
(a) What are the coordinates of the initial position of the rock? (Enter your answers in m.)
Xo =
Yo =
m
(b) What are the components of the initial velocity? (Enter your answers in m/s.)
Vox =
m/s
m/s
Voy
A student is testing the UAM equations by measuring the time it takes for light-weight plastic balls to fall to the floor from a height of 5 m in the lab. The student predicts the time to fall using g as 9.80 m/s^2 but finds the measured time to be 42.5% greater. Which of the following is the most likely cause of the large percent error?
a. The acceleration due to gravity is 57.5% greater than 9.80 m/s^2 at this location.
b. The acceleration due to gravity is 57.5% less than 9.80 m/s^2 at this location.
c. Air resistance increases the downward acceleration.
d. The acceleration of the plastic balls is not uniform.
e. No Answer
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