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
Anna11 [10]
2 years ago
7

A bullet of mass M1 is fired towards a block of mass m2 initially at rest at the edge of a frictionless table of height h as in

the figure. The initial speed of the bullet is vi . Consider two cases, a completely inelastic one and an elastic one,where the bullet bounces off the block. inelastic case elastic case a bullet inside no bullet inside A B A' B' What is the ratio of the flight time; i.e., tAB tA′B′ ?
Physics
1 answer:
pantera1 [17]2 years ago
4 0

The ratio of time of flight for inelastic collision to elastic collision is 1:2

The given parameters;

  • <em>mass of the bullet, = m₁</em>
  • <em>mass of the block, = m₂</em>
  • <em>initial velocity of the bullet, = u₁</em>
  • <em>initial velocity of the block, = u₂</em>

Considering inelastic collision, the final velocity of the system is calculated as;

m_1u_1 + m_2u_2 = v(m_1 + m_2)\\\\m_1u_1 + 0 = v(m_1 + m_2)\\\\v= \frac{m_1u_1}{m_1 + m_2} \ -- (1)\\\\

The time of motion of the system form top of the table is calculated as;

v = u + gt\\\\v = 0 + gt\\\\v = gt\\\\t= \frac{v}{g} \\\\t_A = \frac{m_1u_1}{g(m_1 + m_2)} \ \ ---(2)

Considering elastic collision, the final velocity of the system is calculated as;

m_1u_1 + m_2 u_2 = m_1v_1 + m_2v_2\\\\m_1u_1 + 0 = m_1v_1 + m_2v_2\\\\m_1 u_1 = m_1v_1 + m_2v_2

Apply one-directional velocity

u_1 + (-v_1) = u_2 + v_2\\\\u_1 -v_1 = 0 + v_2\\\\v_1 = v_2 -u_1

Substitute the value of v_1 into the above equation;

m_1u_1 = m_1(v_2 - u_1) + m_2 v_2\\\\m_1u_1 = m_1v_2 -m_1u_1 + m_2v_2\\\\2m_1u_1 = m_1v_2 + m_2v_2\\\\2m_1u_1= v_2(m_1 + m_2)\\\\v_2 = \frac{2m_1u_1}{m_1+ m_2}  \ --(3)

where;

v_2 is the final velocity of the block after collision

<em>Since the</em><em> bullet bounces off</em><em>, we assume that </em><em>only the block fell </em><em>to the ground from the table.</em>

The time of motion of the block is calculated as follows;

v_2 = v_0 + gt\\\\v_2 = 0 + gt\\\\t = \frac{v_2}{g} \\\\t_B = \frac{v_2}{g} \\\\ t_B = \frac{2m_1u_1}{g(m_1 + m_2)} \ \ ---(4)

The ratio of time of flight for inelastic collision to elastic collision is calculated as follows;

\frac{t_A}{t_B} = \frac{m_1u_1}{g(m_1 + m_2)} \times \frac{g(m_1 + m_2)}{2m_1u_1} \\\\\frac{t_A}{t_B} = \frac{1}{2} \\\\t_A:t_B = 1: 2

Learn more about elastic and inelastic collision here: brainly.com/question/7694106

You might be interested in
Which of the following statements describes the law of inertia?
Drupady [299]

Answer:

B. objects remain in the same state of motion unless a force acts on them

Explanation:

Sana nakatulong

8 0
2 years ago
What causes the electric charges to flow from one end of the battery to the other? a balance in electric potential a balance in
Vilka [71]
I think the correct answer from the choices listed above is the third option. It is the difference in electrical potential that causes the electric charges to flow from one end of the battery to the other. Hope this answers the question. Have a nice day.
8 0
3 years ago
Read 2 more answers
A 2.2kg block of ice slides across a rough floor. Its initial velocity is 2.5m/s and its final velocity is 0.50m/s. How much of
kirill [66]

Answer:A 2.2kg block of ice slides across a rough floor. Its initial velocity is 2.5m/s and its final velocity is 0.50m/s. How much of the ice block melted as a result of the work done by friction? (Latent Heat of water is 3.3*10^5J/kg)

Explanation:

7 0
3 years ago
A force of 300 N is used to stretch a horizontal spring with a 0.5 kg block attached to it by 0.5 m. The block is released from
morpeh [17]

Answer:

0.7000cm

Explanation:

bbbgffffffjj office yhhjujhhhhhhhhhhhjjnjhhhhbhhh

6 0
2 years ago
PLEASE HELP!!!!!
never [62]

Answer:

The answer is A

Explanation:

When a rockets thrusters push on the ground the ground pushes back on the rocket with equal force in the opposite direction. Hence the rocket takes off.

Newtons third law of motion states, for every action there is an equal and opposite reaction.

7 0
2 years ago
Other questions:
  • How to find yield strength of a load vs deflection?
    7·1 answer
  • A space shuttle can accelerate at a rate of 2.5m/s squared. Given that, and the fact that the engines of the space shuttle can p
    14·2 answers
  • The blood flow rate through the aorta is measured to be 104.1 cm^3/s, and an adult is measured to have 4.93 L of blood. How long
    12·1 answer
  • The electric field in a region of space has the components Ey = Ez = 0 and Ex = (4.00 N/C · m) x. Point A is on the y axis at y
    12·1 answer
  • A spaceship is travelling at 20,000.0 m/s. After 5.0 seconds, the rocket thrusters are turned on. At the 55.0 second mark, the s
    9·1 answer
  • Yes or no? Do the following have co2 emissions?
    12·1 answer
  • Through what angle in degrees does a 33 rpm record turn in 0.32 s?<br> 63°<br> 35°<br> 46°<br> 74°
    14·1 answer
  • What is the mass of an object travelling at 25 m/s with a kinetic energy of 3775 J?
    14·1 answer
  • A police car is moving to the left at 34m/sec while its siren is emitting a 600Hz tone. What tone would you hear if you were par
    13·1 answer
  • A small charge q is placed near a large spherical charge Q. The force experienced by both charges is F. The electric eld created
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!