A 5.0 g lead bullet is fired into a fence post. The initial speed of the bullet is 210 m/s, and when it comes to rest, half its kinetic energy goes into heating the bullet. How much does the bullet's temperature increase?

Answers

Answer 1
Answer:

Given the data from the question, the bullet's temperature increases by 85.5 °C

How to determine the kinetic energy

  • Mass (m) = 5 g = 5 / 1000 = 0.005 g
  • Velocity (v) = 210 m/s
  • Kinetic energy (KE) =?

KE = ½mv²

KE = ½ × 0.005 × 210²

KE = 110.25 J

How to determine the increase in temperature

  • Kinetic energy (KE) = 110.25 J
  • Heat (Q) = ½KE = ½ × 110.25 = 55.125 J
  • Mass (M) = 5 g
  • Specific heat capacity of lead (C) = 0.129 J/gºC
  • Change in temperature (ΔT) =?

Q = MCΔT

Divide both side by MC

ΔT = Q / MC

ΔT = 55.125 / (5 × 0.129)

ΔT = 85.5 °C

Thus, the temperature increase is 85.5 °C

Learn more about heat transfer:

brainly.com/question/6363778

Answer 2
Answer: 5g = 0.005 kg
So KE=1/2 0.005 kg * 210m/s^2 = 110 J.
Now the specific heat capacity of lead is 126 J/kgK, so the temperature change= 55 J / 0.005 * 126 J/kgK=87.3015873 K. Which, if normal thermal conditions, the bullet would have a temperature of around 360,451587 Kelvin or, simplified, 107.3 degrees celsius.

Related Questions

A 10,000-kg railroad car travels down the track at 30 m/s and hits a second stationary railroad car of 20,000 kg. The cars become coupled and continue traveling. Calculate the final velocity of the cars.
Which of the following is the SI unit used to measure length?a. kilogramb. literc. meterd. Kelvin
A concave lens can only form a. A. real image. B. reversed image. C. virtual image. D. magnified image.
On a distance vs time graph, what does the line of an object at constantspeed look like?​
Objects with greater mass have a weaker force of gravity between them. True False

A 1.7-kg block of wood rests on a rough surface. A 0.011-kg bullet strikes the block with a speed of 670 m/s and embeds itself. The bullet-block system slides forward 2.4 m before coming to rest.

Answers

What is the coefficient of kinetic friction between the block and the surface?  Express your answer using two significant figures.

Answer:

0.39

Explanation:

Given information

m1=1.7 Kg

m2=0.011 Kg

v2=670 m/s

d=2.4 m

m2v2=(m1+m2)v hence v=\frac {m2v2}{m1+m2} and also a=\frac {v^(2)}{2d}

The deceleration due to friction is given by

F=\mu_k N=\mu_k W=\mu_k (m1+m2)g

F=(m1+m2)a=\mu_k (m1+m2)g therefore a=\mu_k g

Therefore, a=\frac {v^(2)}{2d}=\mu_k g

\mu_k=\frac {1}{2dg}(\frac {m2v}{m1+m2})^(2)=\frac {1}{2*2.4*9.81}* (\frac {0.011*670}{1.7+0.011})^(2)

\mu_k=0.39

In which situation is the acceleration of the car negative?

Answers

When a car is slowing down, it has a negative acceleration.  Although it is not going a negative speed, it is decreasing in velocity, which is the definition of a negative acceleration.

Hope this helps!

The car's acceleration is negative if ...

-- it's going slower and slower in the direction that you call 'positive',

OR . . .

-- it's going faster and faster in the direction opposite
to what you call 'positive',

OR . . .

-- it's driving around in a circle AND you call the direction
OUT from the center of the circle the 'positive' direction. 

Where do most pollutants enter the body through?

Answers

The biggest one is when we breathe from our nose and mouth 
in the nose because we usually breath 

20. What is the density of a fluid with a massof 10 kg that takes up a space of 60 mL?

Answers

Density = mass / volume. For that particular fluid, Density = (10,000 gm)/(60 ml) = (166 and 2/3) gm per ml. (That's roughly 8 times the density of the most dense substance on Earth.)

Hat is the kinetic energy of a 1.0-kg billiard ball that moves at 5.0 m/s? A.
5.0 J

B.
6.5 J

C.
10.0 J

D.
12.5 J

Answers

Kinetic energy is the energy that a body possesses by being in motion. It is calculated by the expression:

Kinetic Energy = 1/2 (mv²)
Kinetic Energy = 1/2 (1 kg) (5m/s)²
Kinetic Energy = 12.5 J

Therefore, the correct answer from the choices above is option D.

Cations have fewer _____ than _____.a. neutrons; protons
b. protons; neutrons
c. electrons; protons
d. protons; electrons

Answers

Answer:

C.Electrons,protons.

Explanation:

Cations:

 When metal loos it electrons then it will form cations.

Ex:Na^(+1)

Anion:

When metal gain electron then it will from anions.

Ex:F^(-1)

So from above we can say that ,the cations have fewer electrons than protons.Protons is also called as positive charged ions and electron are also called negatively charge ions.

SO the option is C is correct.

Cations are positively charged ions. And for positive charged ions, it means the positive charges, protons, are more than the negative charges, the electrons.

Therefore Cations have fewer electrons than protons.

So the answer is:    c. electrons; protons.