Question

solve this problem please​

Answer 1

Question:

A girl of mass 40 kg jumps with a horizontal velocity of 5 ms¯¹ onto a stationary cart with frictionless wheels. The mass of the cart is 3 kg. What is her velocity as the cart starts moving? Assume that there is no external unbalanced force working in the horizontal direction.

$\Large\bold{\underline{\underline{Answer:-}}}$

$\Large\bold{\boxed{\boxed{\frac{200}{43}m/s }}}$

$\rule{200}{4}$

$\bf\small\bold{\underline{\underline{Step-By-Step\:Explanation:-}}}$

Given :

Mass of girl = 40 Kg

Initial velocity of girl = 5 m/s

Mass of cart = 3 kg

Initial velocity of cart = 0

Let the final velocity of cart be V

Now by Applying conservation of linear momentum :

Pi = Pf

M(girl)×u(girl)+ m(cart)×u(cart) = [M(girl) +m(cart)] V

On solving

⇒V = 200/3 m/s