1) A 1 kg mass moving at 1 m/s has a totally inelastic collision with a 0.7 kg mass. What is the speed of the resulting combined mass after the collision?

Question

2) A cart of mass 1 kg moving at a speed of 0.5 m/s collides elastically with a cart of mass kg at rest. The speed of the second mass after the collision is 0.667 m/s. What is the speed 1 kg mass after the collision?

3) A 0.010 kg bullet is shot from a 0.500 kg gun at a speed of 230 m/s. Find the speed of the gun.

4)Two carts with a masses of 4 kg and 3 kg move toward each other on a frictionless track with speeds of 5.0 m/s and 4 kg m/s respectively. The carts stick together after the colliding head on. Find the final speed.

5) A cart of mass 1.5 kg moving at a speed of 1.2 m/s collides elastically with a cart of mass 1.0 kg moving at a speed of 0.75 m/s. (the carts are moving at the same direction)The speed
of the second mass (1.0 kg) after the collision is 0.85 m/s. What is the speed
of the 1.5 kg mass after the collision?

please help me!

>>FORMULA's<<
W=Fd
F=ma
W=mad
J=Ft or J=p
Ft=mvf-mvi
P=w/t
P=energy/time
P=mad/t
P= Fd/t
Ft=mvf-mvi

please please!!!

Answer 1

2.
v₁= {-2m₂v₂₀ +(m₁-m₂)v₁₀}/(m₁+m₂)=
=(m₁-m₂)v₁₀/(m₁+m₂)=
v₂={ 2m₁v₁₀ - (m₂-m₁)v₂₀}/(m₁+m₂)=
= 2m₁v₁₀ /(m₁+m₂)=

3.
0= m₁v₁-m₂v₂=>
v₂=0.01•230/0.5=

4.
m₁v₁-m₂v₂=(m₁+m₂)u =>
u= (m₁v₁-m₂v₂)/(m₁+m₂)

5.
When the balls are moving in the same direction
v₁= {+2m₂v₂₀ +(m₁-m₂)v₁₀}/(m₁+m₂)
v₂={ 2m₁v₁₀ + (m₂-m₁)v₂₀}/(m₁+m₂)