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
Rudiy27
3 years ago
14

A firecracker in a coconut blows the coconut into three pieces. two pieces of equal mass fly off south and west, perpendicular t

o each other, at 24 m/s . the third piece has twice the mass as the other two. you may want to review (page 270) . part a what is the speed of the third piece?

Physics
2 answers:
netineya [11]3 years ago
8 0
Here we have mass that moves at ceratin speed. This means that we have momentum. The law that must be observed is law of conservation of momentum. It states that momentum before certain event is equal to a momentum after that event. Here we have three masses so we can write this as:
m_{1}  v_{1i} + m_{2}  v_{2i} + m_{3}  v_{3i} = m_{1}  v_{1f} + m_{2}  v_{2f} + m_{3}  v_{3f}
Before the firecracker blows a coconut does not move, so left side is equal to 0:
0 = m_{1} v_{1f} + m_{2} v_{2f} + m_{3} v_{3f}

We know that m1=m2=m and m3=2m. Also we are asked to find v3f so we can rewrite formula:
v_{3f} = -  \frac{m_{1}  v_{1f}  + m_{2} v_{2f} }{ m_{3} }

We must take in consideration that two parts with same mass do not move in same direction. The center of mass of these two parts moves between them at angle of 45° with respect to both south and west. The speed of a center of mass is:
v_{f} = \sqrt{ v_{1f}^{2}+ v_{2f}^{2} } \\ \\ v_{f} = 33.9m/s
This speed we can insert into formula for v3f:
v_{3f} = - \frac{m*33.9+m*33.9 }{ 2m } \\  \\ v_{3f} = - \frac{2m*33.9 }{ 2m }  \\  \\ v_{3f} = - 33.9m/s

We can see that part of a coconut with biggest mass has same speed as center of mass of two other parts. Negative sign shows that direction is opposite to direction of two pats. Biggest part moves towards north-east.
expeople1 [14]3 years ago
4 0

The speed of the third piece is about 17 m/s

\texttt{ }

<h3>Further explanation</h3>

Newton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.

\large {\boxed {F = ma }

F = Force ( Newton )

m = Object's Mass ( kg )

a = Acceleration ( m )

Let us now tackle the problem !

\texttt{ }

<u>Given:</u>

mass of object 1 = m₁ = m

mass of object 2 = m₂ = m

velocity of object 1 = v₁ = -24 j

velocity of object 2 = v₂ = -24 i

mass of object 3 = m₃ = 2m

<u>Asked:</u>

velocity of object 3 = v₃ = ?

<u>Solution:</u>

We will use conservation of momentum formula to solve this problem:

m_1u_1 + m_2u_2 + m_3u_3 = m_1v_1 + m_2v_2 + m_3v_3

0 + 0 + 0 = m(-24 \widehat{j}) + m (-24 \widehat{i}) + 2mv_3

0 = -24 \widehat{j} -24 \widehat{i} + 2v_3

2v_3 = 24 \widehat{i} + 24 \widehat{j}

v_3 = (24 \widehat{i} + 24 \widehat{j}) \div 2

\large {\boxed {v_3 = 12 \widehat{i} + 12 \widehat{j}} }

\texttt{ }

<em>We could calculate the magnitude of the vector of velocity of this third piece as follows:</em>

|v_3| = \sqrt{12^2 + 12^2}

|v_3| = \sqrt{2 (12^2)}

|v_3| = 12\sqrt{2} \texttt{ m/s}

|v_3| \approx 17 \texttt{ m/s}

\texttt{ }

<h3>Learn more</h3>
  • Impacts of Gravity : brainly.com/question/5330244
  • Effect of Earth’s Gravity on Objects : brainly.com/question/8844454
  • The Acceleration Due To Gravity : brainly.com/question/4189441
  • Newton's Law of Motion: brainly.com/question/10431582
  • Example of Newton's Law: brainly.com/question/498822

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Dynamics

\texttt{ }

Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant

You might be interested in
Can some one give me a conclusion for natural resources
levacccp [35]

Answer:

The exploitation of high-value natural resources—oil, gas, minerals, and timber—has often been a key factor in triggering, escalating, or sustaining violent conflicts around the globe. Competition over renewable resources such as land and water is on the rise, and environmental degradation, population growth, and climate change are compounding the challenges. Governments are therefore under increasing pressure to sustainably manage natural resources and resolve conflicts around their ownership, management, allocation, and control.

8 0
3 years ago
If this speed is based on what would be safe in wet weather, estimate the radius of curvature for a curve marked 50 km/h . The c
PtichkaEL [24]

Answer:

Explanation:

v = 50 km / h

= 13.89 m /s

When a vehicle runs on a circular path , it is static friction which prevents it from getting overturned .

static friction = μs mg

centripetal force = m v² / R

m v² / R = μs mg

R = v² / μs x g

= 13.89² / .7 x 9.8

= 28.12 m .

7 0
3 years ago
4. A helicopter is flying at a height of 1.5km. If it has 50MJ of G.P.E., what is the mass of the
lapo4ka [179]
Its its tony lopez



explanation
8 0
3 years ago
How far away is the sun from earth in AU?
julia-pushkina [17]
That distance is the definition of 1 AU.
5 0
3 years ago
Un alambre de hierro se tendió entre dos paredes fijas resistentes, estando la temperatura a 150 ºC ¿A qué temperatura se romper
Tomtit [17]

Answer:

Explanation:

porfa respondan

3 0
3 years ago
Other questions:
  • A projectile is fired horizontally from a gun that is 38.0 m above flat ground, emerging from the gun with a speed of 300 m/s. (
    11·1 answer
  • A small ball of mass m is dropped immediately behind a large one of mass M from a height h mach larger then the size of the ball
    11·1 answer
  • The table below shows data of sprints of animals that traveled 75 meters. At each distance marker, the animals' times were recor
    6·1 answer
  • Explain:<br><br> What is the relationship between the solar system and the Milky Way?
    6·2 answers
  • The angle of reflection is the angle between the normal line and the___?
    13·1 answer
  • Calculate kp at 298.15 k for the reactions (a), (b), and (c) using δg°f values.
    10·1 answer
  • A fish swimming in a horizontal plane has velocity i = (4.00 + 1.00 ) m/s at a point in the ocean where the position relative to
    12·1 answer
  • Find the tension in the two groups that are holding the 2.9 kg object in Pl., One makes an angle of 35.6° with respect to the ve
    6·1 answer
  • Compound name: for Al2O3
    6·1 answer
  • The measured value of mass M in an experiment is M = 0.743 ± 0.005kg. The error in 2M is
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!