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
GREYUIT [131]
3 years ago
12

A firework is designed so that when it is fired directly upwards, it explodes and splits into three equal-massed parts at its pe

ak. Someone launches the firework directly upwards and measures the locations of two of the pieces of the firework. They find that one piece landed 2 meters to the left and another piece landed two meters behind them. Where did the third piece land? Assume that none of the three parts went further upward after the explosion.
Physics
1 answer:
Arturiano [62]3 years ago
4 0

Answer:

the third piece landed 2\,\sqrt{2}  meters in a direction 45 degrees from the observer's right towards the front

Explanation:

Due to conservation of momentum, the momentum of the third piece must add to the other two momenta in vector from to render zero  (initial momentum of the firework on a plane parallel to ground. Therefore the momentum components of the third piece must have a component to the right equal in magnitude to the momentum of the piece that traveled to the left, and a momentum component pointing to the front of the observer of equal magnitude to that of the piece that traveled behind the observer. Then the direction of the third momentum must be at 45 degrees from the observer's right towards the observer's front.

Also, the magnitude of a momentum vector of such components, is given by the Pythagorean theorem. Recall also that the magnitudes of the momentum vectors of the first two pieces must be equal since they traveled equal distances.

|P_3|=\sqrt{P_1^2+P_2^2} \\|P_3|=\sqrt{P^2+P^2}\\|P_3|=\sqrt{2P^2}\\|P_3|=P\sqrt{2}

Then the distance traveled by the third piece must also keep this proportionality:

D_3=\sqrt{2} \,\,D\\D_3=\sqrt{2} \,*\,2\,\,meters\\D_3=2\,\sqrt{2} \,\,meters

You might be interested in
If a magnet is broken into two pieces, what happens to the magnetic poles?
Nikitich [7]

Answer:

Each piece will have a north pole and a south pole

Explanation:

5 0
3 years ago
Read 2 more answers
The barometer of a mountain hiker reads 930 mbars at the beginning of a hiking trip and 780 mbars at the end. Neglecting the eff
lara31 [8.8K]
We could use the change of pressure to calculate for the height climbed by the mountain hiker. The change of pressure is given by

p = rho * g * h, where p is the change of pressure, rho is the air density, g is the acceleration due to gravity, and h is the height.

Using the conversion 1 mbar = 100 Pa,

(930 - 780)(100) = (1.20)(9.80)h
15000 = 1.20*9.80*h

h = 1.28 km
6 0
3 years ago
Does Radiation Affects this question? If it doesn't, is the answer C?​
kotegsom [21]
The answer will be C
5 0
3 years ago
A 50kg car is moving at a velocity of 4 m/s. After a collision, the car is moving at a velocity of 5m/s.
earnstyle [38]

Answer:

Explanation:

The equation for momentum is p = mv; therefore,

p1 = 50(4) so

p1 = 200

p2 = 50(5) so

p2 = 250

The impulse, the change in the momentum, is 50, going in the same direction.

8 0
3 years ago
Physics <br> I’ll give brainiest! :)
mixer [17]

the number of neutrons may b 21

6 0
3 years ago
Other questions:
  • When playing tug of war and neither side moves, forces are...
    12·2 answers
  • In deep space, there is very little friction. Once they launch a probe into deep space, where there are no external forces actin
    14·2 answers
  • At the beginning of a basketball game, the referee tosses the ball straight up with a speed of 4.6m/s. A player cannot touch the
    7·1 answer
  • Explain why is it easy to slip on a floor that is wet
    11·2 answers
  • A technique in which people use machines to learn how to control their bodies is known as __________.
    11·2 answers
  • I really appreciate u guys helping me
    9·2 answers
  • Consider n equal positively charged particles each of magnitude Q/n placed symmetrically around a circle of radius a. Calculate
    8·1 answer
  • the average time required for radioactive elements, whereby they decay to half their original mass is called the "average life"
    10·2 answers
  • The critical angle for water is 49°. If a ray of light
    8·1 answer
  • What does the object below model?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!