A 3.1-kilogram gun initially at rest is free to move. When a 0.015-kilogram bullet leaves the gun with a speed of 500. meters per second, what is the speed of the gun?

9 answers

This a chance for you to apply the law of conservation of momentum.

That means the momentum of the gun going backward is equal and opposite to the momentum of the bullet going forward. The two momenta cancel out.

Mbullet*Vbullet = -Mgun*Vgun

Solve for Vgun
7.5 m/s
pbefore=pafter
m1v1+m2v2 = m1v’1+m2v’2
(3.1kg)(0m/s)+(0.015kg)(0m/s) =
(3.1kg)( v’1)+(0.015kg)(500.m/s)
0kg∙m/s=(3.1kg)( v’1)+7.5kg∙m/s
-7.5kg∙m/s=(3.1kg)( v’1)
v’1=-2.4m/s (its speed is 2.4 m/s)
u=0
0+0= 3.1 v1 + 0.015(500)m/s
-3.1v1= 7.5
v1= 7.5:(-3.1)

V1=-2.42 in absolute value then the answer will be 2.42
u=0
0+0=3.1V+ 0.015(500)M/S
-3.1V = 7.5
V= -2.42M/S OR 2.42m/s in absolute value
Stephanie is a troll
bababboey
i agree that stephanie is an absolute troll hahahah
not the ten year old speaking haha