thanks a lot it was very helpfullfor first question
momentum is conserved no matter whether the collision is elastic or inelastic
both bodies have same mass "m"
total momentum before collision
mv+m(0) since the second body is at rest
since total momentum before collision equals total momentum after collision
i.e mv
let V2 be the velocity of these two bodies
we know v is the velocity of first mass
from momentum of conversation
mv=2mV2
V2=v/2
k.e
1/2*2m*V2^2
m(v/4)
so A is the correct answer
for second question
take velocity in the right as positive and velocity in left as negative
(note:question asks about change in momentum not total momentum)
change in momentum=mv-mu
=m(v-u)
=0.1(20-(-30) (as 100g equal 0.1kg)
=0.1*50
=5
so B is the correct answer
for third question
let mass of one body equal m
take velocity in the right as positive and velocity in left as negative u can take the other way round
mv+mu
m(v+u)
m(60+(-40)
20m
since total momentum before collision equals total momentum after collision
20m=2mu
u=10
so A is the correct answer
for the fourth question
using area under graph
it is a trapezium
area of trapezium
=1/2*(base1+base2) *h
=1/2*(6+12)*2
=18m
so C is the correct answer
for the fifth question
difference between elastic and inelastic collision is that k.e is conserved in elastic collision
meaning total k.e before collision equals total k.e after collision
(1/2*2m*u^2)+(1/2*mu^2)
we get 1.5mu^2 as k.e before collision it must equal the k.e after collision only option that satisfies this condiiton is A so correct option is A
there is really no need to denote one velocity positive and the other as negative since squarring the number would always result in a positive answer
for the sixth question
Kinetic energy of 1st trolley = ½mv² = ½ x 2 x 2² =4J
Momentum of 1st trolley = mv = 2 x 2 = 4kgm/s to the left
From The conservation of momentum, the 2nd trolley's momentum = 4kgm/s to the right.
Since the 2nd trolley's mass =1kg, its velocity is 4m/s.
Kinetic energy of 2nd trolley = ½ x 1 x 4² =8J
Total kinetic energy = 4+8=12J. Since this energy has been supplied by the spring, the answer is D.
would you plaese solve the remaining question 7 ,8,9,10.
thanks again