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
muminat
1 year ago
7

A bullet of mass m and speed v is fired at, hits and passes completely through a pendulum bob of mass M on the end of a stiff ro

d of negligible mass and length L. The bullet emerges with a speed of v/2 and the pendulum bob just makes it over the top of the trajectory without falling backward in its circular path. Determine an expression (V=?) for the minimum initial speed the bullet must have in order for the pendulum bob to just barely swing through a complete vertical circle. (Use any variable or symbol stated above as necessary.)
Physics
1 answer:
dexar [7]1 year ago
7 0

Required value of initial speed of the bullet be ( 4M/m)√(gL).

Given parameters:

Mass of the bullet =m.

Mass of the bob of the pendulum = M.

speed of the bullet before collision = v

Speed of the bullet after collision = v/2.

Length of the pendulum stiff rod = L.

Let speed transmitted to the pendulum be u.

Using principle of conservation of momentum:

mv = Mu + mv/2

⇒ Mu = mv/2

⇒ u = (m/M)v/2

We know that: to make the bob over the top of the trajectory without falling backward in its circular path, required speed be = √(4gL). [ where g = acceleration due to gravity]

To be minimum initial speed the bullet must have in order for the pendulum bob to just barely swing through a complete vertical circle:

u = √(4gL)

⇒  (m/M)v/2 = √(4gL)

⇒ v =( 4M/m)√(gL).

Hence, minimum required  speed of the bullet be ( 4M/m)√(gL).

Learn more about speed here:

brainly.com/question/28224010

#SPJ1

You might be interested in
A 25-kg child runs at 4.0 m/s and jumps onto a shopping cart and holds on for dear life. The cart has mass 15 kg. Assuming the c
VLD [36.1K]

Linear momentum (mass x speed) has to be conserved.

-- Momentum before the jump:

(boy's mass) x (boy's speed) = (25 kg) x (4.0 m/s) = 100 kg-m/s

(cart's mass) x (cart's speed) = (15 kg) x (zero) = zero

Total momentum before the jump:  (100 kg-m/s) + (zero) = (100 kg-m/s)

-- Momentum after the jump:

(mass of boy+cart) x (speed of boy+cart) = (40 kg) x (speed)

-- Momentum after the jump = momentum before the jump

(40 kg) x (speed) = 100 kg-m/s

Divide each side by  40 kg:

Speed = (100 kg-m/s) / (40 kg)

<em>Speed = 2.5 m/s</em>  (d)

5 0
3 years ago
Write a speech about bringing back fidget toys because they're banned in school
12345 [234]
I believe that fidget toys should not be brought back in school, reason being is because fidget spinners were originally made for students with example: Autism . Who actually needed them. Now that people who don't need them are buying them and playing with them in the classroom, it causes a complete distraction and is not being used for its original purpose whatsoever .
7 0
3 years ago
To get copper from the solid phase to the liquid phase must of the copper sample
Elina [12.6K]
You would want to increase the temperature. 
8 0
3 years ago
Read 2 more answers
An archer puts a 0.30 kg arrow to the bowstring. An average force of 201 N is exerted to draw the string back 1.3 m.a. Assuming
Vlad [161]

Answer:

Explanation:

Given

mass of archer m=0.3\ kg

Average force F_{avg}=201\ N

extension in arrow x=1.3\ m

Work done to stretch the bow with arrow

W=F\cdot x

W=201\times 1.3=261.3\ m

This work done is converted into kinetic Energy of arrow

W=\frac{1}{2}mv^2

where v= velocity of arrow

261.3=\frac{1}{2}\times 0.3\times v^2

v=\sqrt{1742}

v=41.73\ m/s

(b)if arrow is thrown vertically upward then this energy is converted to Potential energy

W=mgh

261.3=0.3\times 9.8\times h

h=\frac{261.3}{0.3\times 9.8}

h=88.87\ m

   

4 0
3 years ago
Which condition must be met in order for an equation to be balanced?
vitfil [10]

Answer:

There must be an equal amount of each element on both sides of the equation. Hope this helps and please marks as the brainliest.

Explanation:

4 0
3 years ago
Other questions:
  • Because darker colors have more visual weight than lighter colors, where should they be used in a design? A. Higher in an arrang
    11·2 answers
  • What must occur before clouds can form?
    14·2 answers
  • When current flows through an electric motor, the electromagnet rotates. true or false?
    5·1 answer
  • What is the variable that is manipulated by the experimenter during an experiment called
    14·1 answer
  • Name the non metal condut electricity​
    5·1 answer
  • Determine the maximum height and range of a projectile fired at a height of 6 feet above the ground with an initial velocity of
    15·1 answer
  • How does Bohr’s model of the atom compare with Thomson’s model?
    8·2 answers
  • .What​ ​is​ ​the​ ​momentum​ ​of​ ​a​ ​car​ ​with​ ​a​ ​mass​ ​of​ ​1,300​ ​kg​ ​traveling​ ​north​ ​at​ ​a​ ​speed​ ​of 28​ ​m/
    9·1 answer
  • In a heat engine, if 500 J of heat enters the system, and the piston does 300 J of work.
    12·2 answers
  • Photosynthesis occurs in a plant cell's
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!