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Question
A solid sphere of mass 2 kg is resting inside a cube as shown in the figure. The cube is moving with a velocity v=(5t^i+2t^j) m/s. Here t is the time in second. All surface are smooth. The sphere is at rest with respect to the cube. What is the total force exerted by the sphere on the cube. (Take g=10 m/s2)
A solid sphere of mass 2 kg is resting inside a cube as shown in the figure. The cube is moving with a velocity v=(5t^i+2t^j) m/s. Here t is the time in second. All surface are smooth. The sphere is at rest with respect to the cube. What is the total force exerted by the sphere on the cube. (Take g=10 m/s2)
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Solution
The correct option is C 26 N
Given v=5t^i+2t^j
⇒a=5^i+2^j
In cube's reference frame forces acting on the sphere are gravity and Psuedo force
Here Fnet=Fg+FP
Psuedo force FP=−ma
=−10i−4j
gravitational force Fg=−mgj
=−20j
Fnet=−10i−24j
|Fnet|=√100+576=26 N
Given v=5t^i+2t^j
⇒a=5^i+2^j
In cube's reference frame forces acting on the sphere are gravity and Psuedo force
Here Fnet=Fg+FP
Psuedo force FP=−ma
=−10i−4j
gravitational force Fg=−mgj
=−20j
Fnet=−10i−24j
|Fnet|=√100+576=26 N
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