Physics
15.06.2020 10:25
222
365
4
Solved by an expert

A 30-g bullet is fired with a horizontal velocity of 450 m/s andbecomes embedded

A 30-g bullet is fired with a horizontal velocity of 450 m/s andbecomes embedded in block B, which has a mass of 3 kg. After theimpact, block B slides on 30-kg carrier C until it impacts the endof the carrier. Knowing the impact between B and C is perfectlyplastic and the coefficient of kinetic friction between B and C is 0.2,determine (a) the velocity of the bullet and B after the first impact,(b) the final velocity of the carrier.
Show Answers
Aydenj9613
Aydenj9613
4,4(66 marks)

a) v_{fb+B}=4.46\: m/s

b) v_{fc}=1.21\: m/s

Explanation:

a) Let's use the conservation of linear momentum.

m_{b}v_{iv}=m_{B}v_{f}+m_{b}v_{f}

Where:

m(b) is mass of bullet (0.03 kg)v(ib) is the initial velocity of the bullet (450 m/s)m(B) is the mass of the block (3 kg)v(f) is the final velocity of the bullet and the block  

m_{b}v_{iv}=m_{B}v_{f}+m_{b}v_{f}

v_{f}=\frac{m_{b}v_{iv}}{m_{B}+m_{b}}

v_{f}=\frac{0.03*450}{0.03+3}

v_{fb+B}=4.46\: m/s

b) As we have an external force between B and C we can not use the conservation of linear momentum here. We need to use the work definition.

The work here is due to the friction force.

W=\Delta K

W=K_{f}-K_{i}

-\mu m_{B}g=0.5(m_{b}+m_{B}+m_{C})v_{f}^{2}-0.5(m_{b}+m_{B})v_{i}^{2}

-\mu m_{B}g=0.5(m_{b}+m_{B}+m_{C})v_{f}^{2}-0.5(m_{b}+m_{B})v_{i}^{2}                  

-0.2*3*9.81=0.5(0.03+3+30)v_{f}^{2}-0.5(0.03+3)4.46^{2}    

v_{f}^{2}=\frac{-0.2*3*9.81+0.5(0.03+3)4.46^{2}}{0.5(0.03+3+30)}

v_{fC}=1.21\: m/s

I hope it helps you!

 

carlchang2025
carlchang2025
4,7(60 marks)

After reaching highest point, the ball velocity is starting increasing again but in downwards direction with an acceleration of about 9.8m/s ^2.

Popular Questions about the subject: Physics

The bohr Effect states that the lower the ph,?...
Physics
02.06.2020 01:27
What is the maximum number electrons that can occupy any d orbital?...
Physics
27.11.2021 13:49
How does wheel and axel work...
Physics
14.08.2020 17:50
A dynamo converts energy from one to another name these two forms in...
Physics
07.11.2020 03:05

New questions by subject

Use the Algebra tiles to determine the polynomial equivalent to this...
Mathematics
17.11.2022 07:17
Help Me And Meh Frand Solve This ;-;...
Mathematics
06.05.2022 12:34
READ THE QUESTION UNTIL YOU UNDERSTAND IT AND THEN ANSWER IT! MARKING...
Mathematics
22.06.2020 08:09
What is meant by obesity?​...
Biology
10.09.2020 14:58
Please help if you understand...
Mathematics
08.03.2021 08:42
Fill in the blank with leur, leurs. Monsieur Battle est Assistant principal...
French
17.03.2022 21:31
This is about cell and organism...
Biology
28.12.2020 16:49
#
#
#
#
# #

We expand our knowledge with many expert answers