1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Slav-nsk [51]
3 years ago
15

A 0.0250-kg bullet is accelerated from rest to a speed of 550 m/s in a 3.00-kg rifle. The pain of the rifle’s kick is much worse

if you hold the gun loosely a few centimeters from your shoulder rather than holding it tightly against your shoulder. (a) Calculate the recoil velocity of the rifle if it is held loosely away from the shoulder. (b) How much kinetic energy does the rifle gain? (c) What is the recoil velocity if the rifle is held tightly against the shoulder, making the effective mass 28.0 kg? (d) How much kinetic energy is transferred to the rifleshoulder combination? The pain is related to the amount of kinetic energy, which is significantly less in this latter situation. (e) Calculate the momentum of a 110-kg football player running at 8.00 m/s. Compare the player’s momentum with the momentum of a hard-thrown 0.410-kg football that has a speed of 25.0 m/s. Discuss its relationship to this problem.
Physics
1 answer:
BlackZzzverrR [31]3 years ago
7 0

Answer:

(a) 4.58 m/s

(b) 31.5 J

(c) 0.491 m/s

(d) 0.362 J

(e) Momentum of player = 880 kg m/s

Momentum of ball = 10.3 kg m/s

Explanation:

(a) By Newton's third law of motion, action and reaction are equal and opposite.

The momentum action of bullet = (0.0250 kg)(550 m/s)

The momentum reaction of rifle = (3.00 kg)(v m/s)

Hence,

(0.0250 kg)(550 m/s) = (3.00 kg)(v m/s)

v =(0.0250 kg)(550 m/s)/(3.00 kg) = 4.58 m/s

(b) Kinetic energy = \frac{1}{2}mv^2 = \frac{1}{2}\times3.00\text{ kg}\times (4.58\text{ m/s})^2 = 31.5\text{ J}

(c) If the effective mass of the rifle is now 28.0 kg, then it's recoil speed is

v =(0.0250 kg)(550 m/s)/(28.0 kg) = 0.491 m/s

(d) With the new effective mass, kinetic energy is

\frac{1}{2}mv^2 = \frac{1}{2}\times3.00\text{ kg}\times (0.491\text{ m/s})^2 = 0.362\text{ J}

(e) The momentum of the player =(110 kg)(8.00 m/s) = 880 kg m/s

Momentum of ball = (0.41 kg)(25.0 m/s) = 10.3 kg m/s

The momentum of the bullet in the question is = (0.0250 kg)(550 m/s) = 13.8 kg m/s.

This momentum is much smaller than that of the player. Hence, an object or body will feel more 'pain' or impact when hit by the running player than by the bullet.

The impact of the bullet is only slightly more than that of the thrown ball.

You might be interested in
Two electric motors drive two elevators of equal mass in a three-story building 10 meters tall. each elevator has a mass of 1,00
Licemer1 [7]
<span>The power output is calculated by multiplying the weight of the elevator (1000 kg) by g (9.8 m/s^2) and by the distance (10 m), then dividing the product by the time (10 s). Thus, the power output of the second motor is 9800 watts.</span>
7 0
3 years ago
Read 2 more answers
The use of non-renewable energy resources in the UK has changed in the last 30 years.
soldi70 [24.7K]

Answer: Varies

Explanation: It became more relied upon, technology is responsible for this.

3 0
2 years ago
Read 2 more answers
Which of the following is the best definition of work?
wel
A. something that happens when a force is applied to an object and its moved

(however all 3 answers are arguebly correct)
5 0
3 years ago
A cruise ship made a trip to Guam and back. The trip there took 12 hours and the trip
Alecsey [184]

Answer:

The average speed is 8.0 km/h

Explanation:

We use the data for the return journey to calculate the distance travelled using the constant velocity equation:

s  =  v  t  =6*4=24km

 

Note I didn't change any units so the answer comes out in kilometres.

Now use the distance and time taken to travel to Guam to find the average speed:

v=st=24/3=8.0km/h

6 0
3 years ago
Please help me!<br>each form of a characteristic is called what?
jeka94
I think the answer is Allele am not so sure of it and sorry if my answer is wrong or didn’t help okay
6 0
3 years ago
Read 2 more answers
Other questions:
  • A driver can exceed the postage maximum speed limit in a work zone T or F?
    9·1 answer
  • professional baseball player nolan ryan could pitch a baseball at approximately 160.0 km/h. at that average velocity, how long d
    9·2 answers
  • what is is the ratio of the distance over which the force is applied to the distance over which the load is moved
    7·1 answer
  • A bullet is fired from a rifle pointed 45 degrees above horizontal. The bullet leaves the muzzle traveling 1400 m/s. How many se
    7·1 answer
  • A hawk flew 600 meters in 60 seconds. A sparrow flew 400 meters in 30 seconds. Which bird flew faster? How fast did each bird fl
    10·1 answer
  • Which wave has a longer wavelength?
    6·1 answer
  • PLEASE AWNSER CORRECTLY AND ILL GIVE BRAINLIEST
    13·1 answer
  • What distance is required for a train
    9·1 answer
  • Can you answer one of the questions
    12·1 answer
  • Please help thanks :)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!