How Do Wood Blocks Behave in a Collision on a Frictionless Surface?

[Black_Hole???]

A block of wood of mass m1 = 0.15 kg slides to the right on a frictionless horizontal table with an unknown speed. It collides with a second piece of wood of mass m2 = 0.30 kg which is stationary and attached to a spring with a spring constant of k = 159.00 N/m. The two pieces of wood stick together, and the spring compresses by an amount of 0.45 m.


(a) What is change in total momentum of the two masses as a result of the collision,
(before the spring compresses)?




ANSWER: __________________ _____

(b) What is the velocity of each mass just after collision (and before the spring
compresses)?





ANSWER: v1f = _______________________ _____
ANSWER: v2f = _______________________ _____


(c) What is the kinetic energy of each mass before collision?




ANSWER: K1i = _______________________ _____
ANSWER: K2i = _______________________ _____

(d) What is the change in total kinetic energy of the two masses as a result of the
collision (before the spring compresses)?




ANSWER: __________________ _____

Answers are suppose to be: A1) 0 A2) 8.46 m/s, 8.46 m/s A3) 48.4 J, 0J A4) -32.3 J

 

[hage567]

Show your work please. We are not going to do your homework for you.

 

[Black_Hole???]

Its not Homework. It test review but i understand what you are saying. I am just trying to get a starting point since i looked at these problems for about 10 min each. But i have three other tests to study for and all four of them are on the same day so i was trying to get a boost or something. Ill reply in a little with my attempt.

 

[Black_Hole???]

refresh. Just putting the forums on my subscription. not trying to get people to do it for me

 

[Black_Hole???]

Ok can anyone help me with part B with finding the initial velocity of mass 1.

I have the formula to solve for the speeds.

M1V1 + M2V1 = M1V2 + M2V2

which the gets simplified to

.15 kg (v1) +0 = ( .15+.30)V2

 

[Black_Hole???]

refresh

 

[Black_Hole???]

refresh

 

[Black_Hole???]

Someone please help

 

[Black_Hole???]

Ok to solve B i did.

W = 1/2 K (X2-X1) = .5 (159.00)(.45)=35.775

w = (change in K) = .5 (ma + Mb)V2^2

V2 = (35.775/ (1/2 * .45))^(1/2)

however i got 12.6 m/s^2

what was i suppose to do instead?

 

[Black_Hole???]

ok i forgot the ^2 in theW = 1/2 K (X2-X1)^2

so i did get the right answer but how do i go about getting part C first part.

The second part is clearly zero because it doesn;t have any velocity so there for no kinetic energy.

 

[Black_Hole???]

ok wow i keep finding how to do stuff.

Ok to get part C. I realized that i had solved for Vf.

So therefore you can use this to find Vi

M1V1+M2V1= (M1+M2)V2

then you can use

K = 1/2 * m1 * V1^2

= 48.4J