A solid sphere of mass 2 kg is resting inside a cube as shown in fig. The cube is moving with a velocity `vec(v)=(5t hat(i)+2t hat(j))ms^(-1)`. Here t is time in seconds. 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? A. `sqrt(29) N`B. `sqrt(516) N`C. `26 N`D. `sqrt(89) N`

A solid sphere of mass 2 kg is resting inside a cube as shown in fig.

1.	A solid sphere of mass 2 kg is resting inside a cube as shown in fig. The cube is moving with a velocity `vec(v)=(5t hat(i)+2t hat(j))ms^(-1)`. Here t is time in seconds. 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? A. `sqrt(29) N`B. `sqrt(516) N`C. `26 N`D. `sqrt(89) N`
Answer» Correct Answer - B `vec(v)=5that(i)+2that(j)` `vec(a)=(dvec(v))/(dt)=5hat(i)+2hat(j)` `vec(F_(1))=mvec(a)=2(5hat(i)+2hat(j))=10hat(i)+4hat(j)` `W=mg=2g=20N` `F=sqrt((10)^(2)+(4)^(2)+(20)^(2))=sqrt(516)N`

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