Physics
posted by Ryan
The collision between a hammer and a nail can be considered to be approximately elastic. Estimate the kinetic energy acquired by a 15 g nail when it is struck by a 550 g hammer moving with an initial speed of 5.1 m/s.

drwls
You might consider the collision as nearly elastic for the brief instant before the nail moves into the board. You need to consider conservation of momentum also, to figure out what fraction of the hammer's kinetic energy is transferred to the nail.
By assuming both momentum and total kinetic energy conservation, you should obtain
V = Vo (Mm)/(M+m) = (535/565)*5.1 m/s = 4.83 m/s for the hammer velocity after impact.
For the nail velocity v,
v = (M/m)(Vo V) = 36.67*.27 m/s
= 9.9 m/s
Try the calculations yourself and see if you agree. 
Kelly
i agree with that but how would you find the kinetic energy acquired by the nail after you get these numbers?

Kelly
got it
v=[(2*m1)/(m1+m2)]Vo
then take your answer and insert into 1/2mv^2 and divide by 1000
Respond to this Question
Similar Questions

Physics
The collision between a hammer and a nail can be considered to be approximately elastic. Estimate the kinetic energy acquired by a 15 g nail when it is struck by a 550 g hammer moving with an initial speed of 5.1 m/s. 
Physics
The collision between a hammer and a nail can be considered to be approximately elastic. Estimate the kinetic energy acquired by a 13 g nail when it is struck by a 550 g hammer moving with an initial speed of 4.0 m/s. I solved for … 
Physics
The collision between a hammer and a nail can be considered to be approximately elastic. Estimate the kinetic energy acquired by a 13 g nail when it is struck by a 550 g hammer moving with an initial speed of 4.0 m/s. I solved for … 
Physics
The collision between a hammer and a nail can be considered to be approximately elastic. Estimate the kinetic energy acquired by a 13 g nail when it is struck by a 550 g hammer moving with an initial speed of 4.1 m/s. I am completely … 
physics
Calculate the kinetic energy acquired by a 11 nail when it is struck by a 540 hammer moving with an initial speed of 4.9 . 
physics
The collision between a nail and hammer can be considered to be approximately elastic. Calculate the kinetic energy acquired by a 12gm nail when it is struck by a 550 gm hammer moving with an initial speed of 4.5 m/sec. 
physics
The collision between a hammer and a nail can be considered to be approximately elastic. Estimate the kinetic energy acquired by a 10g nail when it is struck by a 550g hammer moving with an initial speed of 3.8 m/s. 
physics
A hammer with 10 J of kinetic energy hits a nail and pushes it 5.0 mm into a plank. Both the hammer and nail come to rest after the collision. What is the average force that acts on the nail while it moves the 5.0 mm? 
physics
When a hammer strikes a nail, it is compressed along its length. Suppose that a steel nail 10.00 cm long and 3.00 mm in diameter is compressed an average of 65.0 µm by a 0.460 kg hammer during a 1.20 ms collision. (a) What average … 
physics b
A nail driven into a board increases in temperature. If 60% of the kinetic energy delivered by a 1.8 kg hammer with a speed of 7.8 m/s is transformed into heat that flows into the nail and does not flow out, what is the increase in …