Calculating Bullet Speed in Momentum Problem

  • Thread starter Thread starter ijd5000
  • Start date Start date
AI Thread Summary
To find the bullet's speed when it embeds into a block and causes it to slide, the conservation of momentum and the work-energy principle are applied. The bullet's speed can be expressed as v(bullet) = Msqrt(2μkgd)/m, where m is the bullet's mass, M is the block's mass, μk is the coefficient of kinetic friction, and d is the distance slid. The equation accounts for the kinetic friction acting on the block after the collision. It's important to include the mass of the bullet in the calculations to ensure accuracy. This approach effectively combines momentum and friction concepts to solve the problem.
ijd5000
Messages
7
Reaction score
0

Homework Statement


A bullet of mass m is fired into a block of mass M that is at rest. The block, with the bullet embedded, slides distance d across a horizontal surface. The coefficient of kinetic friction is μk.

Find an expression for the bullet's speed vbullet.
Express your answer in terms of the variables m, M, μk, d, and appropriate constants.

Homework Equations


p=mv

The Attempt at a Solution



v(bullet)=Msqrt(2μkgd)/m
 
Physics news on Phys.org
You should show the steps you took to arrive at your answer.
 
got it, forgot to include the mass of the bullet
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Finding the expression for momentum.
Replies
3
Views
3K
Momentum Problem -- Bullet fired into a block of wood
Replies
2
Views
2K
Conservation of momentum in a bullet-block-spring system
Replies
6
Views
3K
Bullet shooting vertically into a block
Replies
9
Views
7K
Just to double check, Linear Momentum
Replies
1
Views
1K
MCAT Collisions of a wooden block and bullet
Replies
5
Views
2K
Calculating Force and Impulse of a Bullet Hitting a Man
Replies
1
Views
1K
How Do You Calculate the Final Speed of a Bullet-Block System?
Replies
13
Views
2K
Is My Physics Calculation on Bullet and Block Interaction Correct?
Replies
14
Views
4K
Angular momentum, block plus bullet
Replies
4
Views
3K

Hot Threads

Recent Insights

Back
Top