Physics-
General
Easy

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 equals left parenthesis 5 t stack i with hat on top plus 2 t stack j with hat on top right parenthesis m divided by 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)

  1. square root of 29 N    
  2. 29 N    
  3. 26 N    
  4. square root of 89 N    

The correct answer is: 26 N


    text As  end text stack v with rightwards arrow on top equals 5 t stack i with hat on top plus 2 t stack j with hat on top\ stack a with rightwards arrow on top equals a subscript x end subscript stack i with hat on top plus a subscript y end subscript stack j with hat on top equals 5 stack i with hat on top plus 2 stack j with hat on top
    stack F with rightwards arrow on top equals m a subscript x end subscript stack i with hat on top plus m left parenthesis g plus a subscript y end subscript right parenthesis stack j with hat on top
    \ vertical line stack F with rightwards arrow on top vertical line equals m square root of a subscript x end subscript superscript 2 end superscript plus left parenthesis g plus a subscript y end subscript right parenthesis to the power of 2 end exponent end root equals 26   N

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