How Do Forces Affect Motion in Different Scenarios?

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The discussion revolves around two physics problems involving forces and motion. The first problem involves a 2.5-g bullet traveling at 350 m/s that penetrates 12 cm into a tree, requiring the calculation of the force exerted on the bullet to bring it to rest, using the formula F = ma with consistent units. The second problem asks about the work done by the vertical force when carrying a backpack, emphasizing the understanding of the work formula rather than just calculations. Participants provide guidance on solving these problems, highlighting the importance of understanding the underlying physics concepts. Overall, the thread focuses on applying physics principles to real-world scenarios involving forces and motion.
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I am having problesm with this question

a. A 2.5-g bullet traveling at hits a tree and slows uniformly to a stop while penetrating a distance of 12 cm into the tree’s trunk. What force was exerted on the bullet in bringing it to rest?

b You are carrying a backpack across campus. What is the work done by your vertical carrying force on the backpack? Explain.

Thanks anyone
 
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foxproff said:
[...]

a. A 2.5-g bullet traveling at hits a tree and slows [...]

travelling at what?
 
A 2.5-g bullet traveling at 350m/s hits a tree and slows uniformly to a stop while penetrating a distance of 12 cm into the tree’s trunk. What force was exerted on the bullet in bringing it to rest?

sorry about that. thanks
 
No worries, well you know initial velocity, final velocity and displacement. Use a constant acceleration formula to solve for acceleration. You can work out force from that [F = ma].

For question two, have a think about it for a little. What is the vertical force (doing work) to keep up the backpack.
 
foxproff said:
I am having problesm with this question

a. A 2.5-g bullet traveling at hits a tree and slows uniformly to a stop while penetrating a distance of 12 cm into the tree’s trunk. What force was exerted on the bullet in bringing it to rest?


Thanks anyone

foxproff said:
A 2.5-g bullet traveling at 350m/s hits a tree and slows uniformly to a stop while penetrating a distance of 12 cm into the tree’s trunk. What force was exerted on the bullet in bringing it to rest?

sorry about that. thanks
So this problem is assuming a constant force or asking for an average force, which is the same thing.
If an object with mass 2.5 g experiences a force F, what will its acceleration be? (F= ma)
With that acceleration, how long will it take the object to slow from 350 m/s to 0 m/s?
How far will the object go in that time? The answers to all of those, of course, depend on F. Set the last equal to 12cm and solve for F. Be careful to use consistent units.

b You are carrying a backpack across campus. What is the work done by your vertical carrying force on the backpack? Explain.
How do you calculate work? The reason for the "explain", I suspect, is that if you really understand the formula I asked for, you don't don't need to do any calculation at all!
 
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