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In the figure shown, the mass of the tro...

In the figure shown, the mass of the trolley is 100 kg and it can move without friction on the horizontal floor. It length is 12 cm. The mass of the girl is 50 kg. Friction exists between is 12 m. The mass of the girl is 50 kg. Friction exists between the shoes of the girl and the trolley's upper surface, with `mu = 1//3`, The girl can run with a maximum speed `= 9 m//s` on the surface of the trolley, with respect to the surface `= 9 m//s` on the surface of thr trolley, with respect to the surface. At `t=0` the girlm starts running from left to the right. The trolley was initially stationary. `(g = 10 m//s^(2))`

At a certain moment when the girl was accelerating, the earth frame accelerating of the trolley is found to be `1m//s^(2)`. At this moment, the friction force between the girl's shoes and the trolley's surface is :

A

200 N

B

150 N

C

100N

D

None of these

Text Solution

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The correct Answer is:
c
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In the figure shown, the mass of the trolley is 100 kg and it can move without friction on the horizontal floor. It length is 12 cm. The mass of the girl is 50 kg. Friction exists between is 12 m. The mass of the girl is 50 kg. Friction exists between the shoes of the girl and the trolley's upper surface, with mu = 1//3 , The girl can run with a maximum speed = 9 m//s on the surface of the trolley, with respect to the surface = 9 m//s on the surface of thr trolley, with respect to the surface. At t=0 the girlm starts running from left to the right. The trolley was initially stationary. (g = 10 m//s^(2)) The minimum time in which the girl can acquire her maximum speed, for no slipping is :

In the figure shown, the mass of the trolley is 100 kg and it can move without friction on the horizontal floor. It length is 12 cm. The mass of the girl is 50 kg. Friction exists between is 12 m. The mass of the girl is 50 kg. Friction exists between the shoes of the girl and the trolley's upper surface, with mu = 1//3 , The girl can run with a maximum speed = 9 m//s on the surface of the trolley, with respect to the surface = 9 m//s on the surface of thr trolley, with respect to the surface. At t=0 the girlm starts running from left to the right. The trolley was initially stationary. (g = 10 m//s^(2)) The displacement of the trolley by the time the girl reaches the right end of the trolley is :

In the figure shown, the mass of the trolley is 100 kg and it can move without friction on the horizontal floor. It length is 12 cm. The mass of the girl is 50 kg. Friction exists between is 12 m. The mass of the girl is 50 kg. Friction exists between the shoes of the girl and the trolley's upper surface, with mu = 1//3 , The girl can run with a maximum speed = 9 m//s on the surface of the trolley, with respect to the surface = 9 m//s on the surface of thr trolley, with respect to the surface. At t=0 the girlm starts running from left to the right. The trolley was initially stationary. (g = 10 m//s^(2)) The minimum time in which the girl can stop from 9 m/s relative speed, to zero relative speed, without causing her shoes to slip is :

In the figure shown, the mass of the trolley is 100 kg and it can move without friction on the horizontal floor. It length is 12 cm. The mass of the girl is 50 kg. Friction exists between is 12 m. The mass of the girl is 50 kg. Friction exists between the shoes of the girl and the trolley's upper surface, with mu = 1//3 , The girl can run with a maximum speed = 9 m//s on the surface of the trolley, with respect to the surface = 9 m//s on the surface of thr trolley, with respect to the surface. At t=0 the girlm starts running from left to the right. The trolley was initially stationary. (g = 10 m//s^(2)) The total kinetic energy of system (trolley + girl) at the instant the girl acquires her maximum relative speed with respect to trolley, is :

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