1. A 0.5854-kg hammer is moving horizontally at 7.369 m/s when it strikes a nail and comes to rest after driving the nail 2.885 cm into a board. A small cartoon might be helpful. (a) Calculate the duration of the impact. Hint: Assume that the force of the hammer and, therefore, the acceleration of the nail is constant. You may use the equations or motion of an object, in this case the hammer, with constant acceleration. What quantities are known? Which equation is suitable to solve for the time it takes the nail to drive into the board. At= (b) What was the average force exerted on the nail? N Fnet = S

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# Physics Problem: Hammer Impact on a Nail

**Problem Statement:**

1. A 0.5854-kg hammer is moving horizontally at 7.369 m/s when it strikes a nail and comes to rest after driving the nail 2.885 cm into a board. 

   **(a) Calculate the duration of the impact.**

   *Hint*: Assume that the force of the hammer and, therefore, the acceleration of the nail is constant. You may use the equations of motion of an object, in this case the hammer, with constant acceleration. Consider the known quantities and choose an appropriate equation to solve for the time it takes for the nail to drive into the board.

   \[
   \Delta t = \underline{\qquad} \, \text{s}
   \]

   **(b) What was the average force exerted on the nail?**

   \[
   F_{\text{net}} = \underline{\qquad} \, \text{N}
   \]

**Explanation for Graphs/Diagrams:**

- There are no graphs or diagrams accompanying this text.
Transcribed Image Text:# Physics Problem: Hammer Impact on a Nail **Problem Statement:** 1. A 0.5854-kg hammer is moving horizontally at 7.369 m/s when it strikes a nail and comes to rest after driving the nail 2.885 cm into a board. **(a) Calculate the duration of the impact.** *Hint*: Assume that the force of the hammer and, therefore, the acceleration of the nail is constant. You may use the equations of motion of an object, in this case the hammer, with constant acceleration. Consider the known quantities and choose an appropriate equation to solve for the time it takes for the nail to drive into the board. \[ \Delta t = \underline{\qquad} \, \text{s} \] **(b) What was the average force exerted on the nail?** \[ F_{\text{net}} = \underline{\qquad} \, \text{N} \] **Explanation for Graphs/Diagrams:** - There are no graphs or diagrams accompanying this text.
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a)Duration of impact 7.83×10-3 S

b) avarage force =550.934N

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