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A solid sphere of mass of 2kg rests insi...

A solid sphere of mass of `2kg` rests inside a cube as shown The cube is moving with ve-locity `vecv = (5thati+2thatj)ms^(-1)` where 't' is in sec and 'v' is in m/s What force does sphere exert on cube
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Text Solution

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As given `vecupsilon = 5thati+2thatj,`
`:. a_(x) =(dupsilon_(x))/(dt) =5,a_(y) = (dupsilon_(y))/(dt) =2`
When cube is moving with above accelerations along x and y-axis the forces that exert on cube are
`F_(x) = - ma_(x) = -2 xx 5 =-10 N`
`F_(y) = - (mg +ma_(y)) = - (20 +2 xx 2) = - 24N`
Not force, `F=sqrt((F_(x))^(2) + (F_(y))^(2))`
`=sqrt((10)^(2)+(24)^(2)) =26N`
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