Calculating Force of a Nail Stopping a Hammer with Constant Acceleration

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To calculate the force exerted by a nail stopping a hammer, a downward force of 50N is applied to a 9.8N hammer, which is initially moving at 5.0 m/s and stops over a distance of 0.50 cm. The problem requires understanding the relationship between force, work, and acceleration, assuming constant acceleration throughout the process. The user has attempted to create free body diagrams and apply the work-energy principle but is struggling to proceed. Key concepts include the need to relate force to the distance over which it acts and the work done on the hammer. Further guidance is sought to clarify these relationships and solve the problem effectively.
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Homework Statement



A man applies 50N downward force on a 9.8N
hammer. V0=5.0m/s. Stopped by a nail in d=0.50cm
• Assuming constant acceleration: Fnail/hammer
=?

Homework Equations





The Attempt at a Solution



I am completely stumped on how to start this problem. What I have done so far is.

Make two free body diagrams one for the force being applied by the man and one for the hammer.

I know the nail is 0.005m

I know I have to do some form of wtotal= K2-K1

I tried solving for K using 1/2mv^2 and since the acceleration is constant K1 will be 0 , and I rearranged the formula wtotal= k2-k1 to be wtotal +0=k2

I have no idea what else I can do. Guidance will be greatly appreciated.

Higgenz
 
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If the acceleration is constant what does this tell you about the force creating the acceleration? Is it changing in time? What is the relation between force, distance parallel to the force, and work?
 

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