Question

A body of mass m moving with velocity v makes a head on collision with another body of mass 2m

Answer 1

Answer:

tisieiditditditdiyd

Answer 2

SOLUTION

in collision, final velocity of 1st body

$v1 = \: ( \frac{m1 - m2}{m1 \: m2 \: } ) \: u1 \: + \: \frac{2 \: m2 \: u \: 2 \: }{m1 \: m2 \: }$

given; M¹ = m, u¹ = v, m ² = 2m , u² = 0

because

$v1 \: = - \frac {v }{3} \\ intial \: ke \: .e1 \frac{1}{2} {mv}^{2}$

and final K.E ,,

${e}^{2} = \frac{1}{2} m \: ( \frac{ - v}{3} {}^{2} ) = \frac{1}{9} ( \frac{1}{2} )$

loss ∆ E = E¹ - E²

$e = \frac{1}{2} mv {}^{2} - \frac{1}{9} ( \frac{1}{2} mv {}^{2} )$

$e \: = \frac{8}{9} ( \frac{1}{2} mv {}^{2} ) \\ = > e = \frac{8}{9}$