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
Citrus2011 [14]
3 years ago
7

A bowling ball with a momentum of 18kg-m/s strikes a stationary bowling pin. After the collision, the ball has a momentum of 13k

g-m/s directed 55 degrees to the left of its initial direction as shown below. What is the momentum (magnitude and direction) of the pin's resultant velocity?
Physics
1 answer:
Veronika [31]3 years ago
4 0

Answer:

14.98\ \text{kg m/s}

45.26^{\circ}

Explanation:

P_1 = Initial momentum of the pin = 13 kg m/s

P_i = Initial momentum of the ball = 18 kg m/s

P_2 = Momentum of the ball after hit

55^{\circ} = Angle ball makes with the horizontal after hitting the pin

\theta = Angle the pin makes with the horizotal after getting hit by the ball

Momentum in the x direction

P_i=P_1\cos55^{\circ}+P_2\cos\theta\\\Rightarrow P_2\cos\theta=P_i-P_1\cos55^{\circ}\\\Rightarrow P_2\cos\theta=18-13\cos55^{\circ}\\\Rightarrow P_2\cos\theta=10.54\ \text{kg m/s}

Momentum in the y direction

P_1\sin55=P_2\sin\theta\\\Rightarrow P_2\sin\theta=13\sin55^{\circ}\\\Rightarrow P_2\sin\theta=10.64\ \text{kg m/s}

(P_2\cos\theta)^2+(P_2\sin\theta)^2=P_2^2\\\Rightarrow P_2=\sqrt{10.54^2+10.64^2}\\\Rightarrow P_2=14.98\ \text{kg m/s}

The pin's resultant velocity is 14.98\ \text{kg m/s}

P_2\sin\theta=10.64\\\Rightarrow \theta=sin^{-1}\dfrac{10.64}{14.98}\\\Rightarrow \theta=45.26^{\circ}

The pin's resultant direction is 45.26^{\circ} below the horizontal or to the right.

You might be interested in
In each of two coils the rate of change of the magnetic flux in a single loop is the same. The emf induced in coil 1, which has
irinina [24]

Answer:

 Coil 2 have  235  loops

Explanation:

Given  

The number of loops in coil 1 is n ₁= 159

The emf induced in coil 1 is  ε ₁ = 2.78 V

The emf induced in coil 2 is  ε ₂ = 4.11 V

Let

n ₂  is the number of loops in coil 2.

Given, the emf in a single loop in two coils are same. That is,

ϕ ₁/n ₁= ϕ ₂ n ₂⟹ 2.78/159 = 4.11/ n ₂

n₂=\frac{159 * 4.11}{2.78}

n₂=235

Therefore, the coil 2 has  n ₂= 235  loops.

4 0
3 years ago
Read 2 more answers
Why does light behave as shown in the image when it passes from air to glass?
Leto [7]
B) Light slows down when it passes into a denser medium. 

5 0
3 years ago
Read 2 more answers
The graph below is called a heating curve. It shows how water changes from one state of matter to another based on temperature a
Neporo4naja [7]

Explanation :

The heating curve shows how water changes from one state of matter to another based on temperature and the addition or removal of heat over time.

Initially, ice is heated until its temperature reaches 0^0\ C and changes to liquid state.

From the attached graph it is clear that until 100^0\ C the temperature will rise steadily. Here, the liquid begins to vaporize. Vaporization is the state of matter at which liquid state changes to the gaseous state.

So, E is the point which shows the gaseous state.

4 0
3 years ago
Read 2 more answers
Based upon the information you have learned throughout this module on blood spatter analysis, do you feel that analyzing blood s
kompoz [17]

Answer:

I do not think that it is the most reliable way to gain information since it is very hard to do and can be easily messed up. No, I don't think you can charge someone on only evidence from blood spatter, but if there was additional evidence I think that this would definitely help with the case but not on its own, since it doesn’t give you physical evidence about the suspect.

Explanation:

6 0
2 years ago
A pressure of 400 Pa is applied to an area of 2.5 m2.What force applies this pressure?
Irina-Kira [14]
F = 400 Pa x 2.5 m2
F = 1 kN
4 0
3 years ago
Other questions:
  • A simple pendulum on the surface of Earth is found to undergo 15.0 complete small‑amplitude oscillations in 8.75 s. Find the pen
    8·1 answer
  • Can someone pls help.
    10·1 answer
  • A capacitance C and an inductance L are operated at the same angular frequency.
    10·1 answer
  • Different masses are hung on a spring scale calibrated in newtons. The force exerted by gravity on 1.0 kg is shown in the image
    6·2 answers
  • a student pushes on a crate with a force of 100 N directed to the right. what force does the crate exert on a student
    13·1 answer
  • The greater the amplitude of a wave, the greater its
    8·1 answer
  • HELP ASAP
    7·1 answer
  • Does specific heat of a substance depend on its temperature?​
    11·1 answer
  • Which one of the following statements is true: The reactive power is the power dissipated in the form of heat by the network. Th
    14·1 answer
  • How does nuclear fusion affect the life cycle of a star?.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!