NDA2022General AbilityGeneral ScienceActual
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
- A2.15 ~m / s
- B1.89 ~m / s
- C1.51 ~m / s
- 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