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A boy of mass 52 kg jumps with a horizontal velocity of 2 m / s onto a stationary cart of mass 3 kg . The cart is fixed with frictionless wheels. Which one of the following would be the speed of the cart?

Options

  1. A2.15 ~m / s
  2. B1.89 ~m / s
  3. C1.51 ~m / s
  4. D2.51 ~m / s

Correct answer

B. 1.89 ~m / s

Step-by-step solution

By law of conservation of linear momentum P _ i = P _ f M _ boy V _ boy + M _ cart V _ cart = ( M _ boy + M _ cart ) V ^1[ Boy jumped into cart, the final velocity ( Vl ) of the boy will be equal to that of the cart] aligned & 52 2+3 0=(52+3) V ^1 & 104 55 = V ^1 & ~V 1=1.89 ~m / s aligned

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