Predict/Explain Two children. Jason and Betsy ride on the same merry-go-round. Jason is a distance R from the axis of rotation; Betsy is a distance 2 R from the axis (a) is the rotational period of Jason greater than, less than, or equal to the rotational period of Betsy? (b) Choose the best explanation from among the following. I. The period is greater for Jason because he moves more slowly than Betsy II.The period is greater for Betsy since she must go around a circle with a larger circumference. III. It takes the same amount of time for the merry-go-round to complete a revolution for all points on the merry-go-round.
Predict/Explain Two children. Jason and Betsy ride on the same merry-go-round. Jason is a distance R from the axis of rotation; Betsy is a distance 2 R from the axis (a) is the rotational period of Jason greater than, less than, or equal to the rotational period of Betsy? (b) Choose the best explanation from among the following. I. The period is greater for Jason because he moves more slowly than Betsy II.The period is greater for Betsy since she must go around a circle with a larger circumference. III. It takes the same amount of time for the merry-go-round to complete a revolution for all points on the merry-go-round.
Predict/Explain Two children. Jason and Betsy ride on the same merry-go-round. Jason is a distance R from the axis of rotation; Betsy is a distance 2R from the axis (a) is the rotational period of Jason greater than, less than, or equal to the rotational period of Betsy? (b) Choose the best explanation from among the following.
I. The period is greater for Jason because he moves more slowly than Betsy
II.The period is greater for Betsy since she must go around a circle with a larger circumference.
III. It takes the same amount of time for the merry-go-round to complete a revolution for all points on the merry-go-round.
A skateboarder with his board can be modeled as a particle of mass 80.0 kg, located at his center of mass. As shown in the figure below, the skateboarder starts from rest in a crouching position at one lip of a half-pipe (point). On his descent, the skateboarder moves without friction so
that his center of mass moves through one quarter of a circle of radius 6.20 m.
i
(a) Find his speed at the bottom of the half-pipe (point Ⓡ).
m/s
(b) Immediately after passing point Ⓑ, he stands up and raises his arms, lifting his center of mass and essentially "pumping" energy into the system. Next, the skateboarder glides upward with his center of mass moving in a quarter circle of radius 5.71 m, reaching point D. As he
passes through point ①, the speed of the skateboarder is 5.37 m/s. How much chemical potential energy in the body of the skateboarder was converted to mechanical energy when he stood up at point Ⓑ?
]
(c) How high above point ① does he rise?
m
A 31.0-kg child on a 3.00-m-long swing is released from rest when the ropes of the swing make an angle of 29.0° with the vertical.
(a) Neglecting friction, find the child's speed at the lowest position.
m/s
(b) If the actual speed of the child at the lowest position is 2.40 m/s, what is the mechanical energy lost due to friction?
]
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