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
Novosadov [1.4K]
3 years ago
11

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

s. What is the relationship between m and M if the large ball stops at the floor? Under this condition, how high does the small ball rise? Assume the balls are perfectly elastic and use an independent collision model in which the large ball collides elastically with the floor and returns to strike the small ball in a second collision that is elastic and independent from the first.
Physics
1 answer:
Mumz [18]3 years ago
3 0

Answer:

a)   (M / m -1), b)   h_{f} = h (M / m -1)²

Explanation:

For this exercise we will begin by looking for the speed of the balls when they reach the floor, for this we use the concepts of energy conservation

Initial. Highest point

      Em₀ = U = m g h

Final. Floor

      Em_{f} } = K = ½ m v²

      Em₀ =  Em_{f} }

      m gh = ½ m v²

      v = √ 2g h

The speed is the same for the two balls since it does not depend on the mass.

First shock

The heaviest ball (M) with the floor, as the floor does not move the ball bounces with the same speed as it arrives, but in the opposite direction

Second shock

Between the large ball with velocity upwards of value v and the small ball of mass (m) with velocity v downwards. Let's use the moment

Initial. Before the crash

         p₀ = Mv - m v

After the crash

        p_{f} = 0 + m v_{f}

        p₀ = p_{f}

        Mv - m v = m v_{f}

       v_{f} = (M-m) / m v

        v_{f}= (M / m -1) v

Let's look with energy to where e raises the small ball with speed vf

      Em₀ = Em_{f}

       ½ m vf² = m g h_{f}

       h_{f} = ½ v_{f}² / g

       h_{f} = ½ v² / g (M / m-1)²

We substitute in value of v

       h_{f} = ½ 2gh / g (M / m -1)²

       h_{f} = h (M / m -1)²

You might be interested in
The addition of electron shells results in _____
vodka [1.7K]

Answer:

shielding of electrons

Explanation:

The addition of electrons shells results in the shielding of electrons away from the nucleus, most importantly the nuclear pull resulting from the charge.

  • The nucleus pulls electrons to itself due to the net positive charge on it.
  • As more electronic shell is added, the effect of the pull weakens outward.
  • The inner shell experiences the nuclear pull more than the outer shell electrons.

The effect is responsible for a wide range of properties of elements.

6 0
3 years ago
Click on the reset button, and stack one 50kg. crate on top of the other, so that the total mass is 100kg. The Friction should b
Helen [10]

Answer:

490.5 N

Explanation:

Coefficient of friction is 0.5 since friction force is set to halfway between none and lots. Minimum force is given by multiplying the weight and coefficient of friction

F= kN where k is coefficient of friction while N is weight. Also, N=mg where m is mass and g is acceleration due to gravity.

F=kmg=0.5*100*9.81=490.5 N

6 0
3 years ago
What do you know about a laser to predict its performance as a surgical tool? Give at least four factors and explain the signifi
Akimi4 [234]
Hehehehejwhdhmdhdidndjdh
5 0
3 years ago
Two forces, one of 100 ponds and the other 150 pounds act on the same object, at angles of 20°and 60°, respectively, withthe pos
soldi70 [24.7K]
<h2>Resultant is 235.54 pounds at an angle 44.16° to X axis.</h2>

Explanation:

Forces are 100 pound and 150 pound and angles with x axis are 20°and 60°.

That is force 1 is 100 pound with x axis at 20°

           F₁ = 100 cos 20 i  +  100 sin 20 j

           F₁ = 93.97 i  +  34.20 j          

That is force 2 is 150 pound with x axis at 60°

           F₂ = 150 cos 60 i  +  150 sin 60 j

           F₂ = 75 i  +  129.90 j  

F₁ +  F₂ =  93.97 i  +  34.20 j + 75 i  +  129.90 j

F₁ +  F₂ =  168.97 i  +  164.10 j

\texttt{Magnitude = }\sqrt{168.97^2+164.10^2}\\\\\texttt{Magnitude = }235.54pounds\\\\\texttt{Angle = }tan^{-1}\left ( \frac{164.10}{168.97}\right )\\\\\texttt{Angle = }44.16^0

Resultant is 235.54 pounds at an angle 44.16° to X axis.

6 0
3 years ago
As light travels from air to water to glass, it will refract. The best explanation for this would be
Lelu [443]
D) The speed of a wave slows as it travels at different speed in different media.
8 0
3 years ago
Read 2 more answers
Other questions:
  • The water lost during transpiration is a side effect of the plant’s exchange of gases. However, the plant derives some benefit f
    6·1 answer
  • A piano tuner stretches a steel piano wire with a tension of 765 N . The steel wire has a length of 0.600 m and a mass of 4.50g
    15·1 answer
  • A 210 kg meteoroid is heading toward the earth accelerates by 2.4 × 105 m/s2.
    11·1 answer
  • It requires 350 joules to raise a certain amount of a substance from 10.0°C to 30.0°
    9·2 answers
  • Most sodium atoms have an atomic mass of 23, but a few have atomic
    7·1 answer
  • Complete the statement below with all that apply.<br><br> Average speed is what?
    15·2 answers
  • A loop circuit has a resistance of R1 and a current of 2.2 A. The current is reduced to 1.6 A when an additional 2.8 Ω resistor
    9·1 answer
  • Calculate the change in time for each quarter of the track. Record the change in time in Table E of your Student Guide. The chan
    12·1 answer
  • As our Sun exhausts its supply of hydrogen, it will cool down by 1000 to 2000 Kelvin. But it will also become about 100 times br
    9·1 answer
  • Dr paivio studies the ways In which the endocrine system and the nervous system are similar.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!