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Elina [12.6K]
3 years ago
8

The object moves with _____ from A to B. It _____

Physics
1 answer:
ELEN [110]3 years ago
8 0
Constant acceleration
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A girl of mass 50.6 kg stands on the edge of a frictionless merry-go-round of mass 827 kg and radius 3.72 m that is not moving.
GaryK [48]

Answer:

(a). The value of angular speed of the merry-go-round \omega = - 5.82 × 10^{-3} \frac{rad}{s}

(b). The linear speed of the girl after the rock is thrown V = -1.89 × 10^{-2} \frac{m}{s}

Explanation:

Given data

Mass of the girl m_{g} = 50.6 kg

Mass of merry-go-round m_{m} = 827 kg

Radius r = 3.72 m

The speed of the rock relative to the ground V_{r} = 7.82 \frac{m}{s}

(a). The angular speed of the merry-go-round is given by

\omega = - [\frac{m_{r}v_{r}  }{r} ] \frac{2}{m_{m} + 2m_{g} }

Put all the values in above formula

\omega = \frac{(1.13)(7.82)}{3.27} \frac{2}{827 + (2)50.6}

\omega = - 5.82 × 10^{-3} \frac{rad}{s}

This is the value of angular speed of the merry-go-round.

(b). The liner speed of the girl is given by

⇒ V = r × \omega

⇒ V = - 3.72 × 5.82 × 10^{-3}

⇒ V = -1.89 × 10^{-2} \frac{m}{s}

This is the linear speed of the girl after the rock is thrown.

7 0
3 years ago
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