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
Gelneren [198K]
2 years ago
12

Block A can slide relative to block B which, in turn, can slide on a perfectly smooth horizontal plane. If the initial velocity

of A is v0, and the initial velocity of B is 0, find the final velocities of the two blocks and the distance that A slides relative to B.

Physics
1 answer:
Anna11 [10]2 years ago
4 0

Answer:

the final velocity of the two blocks is v = \frac{mv_o}{m+M}

the distance that A slides relative to B is S = \frac{v_o^2M}{2 \mu g (M+m)}  

Explanation:

From the diagram below;

acceleration of A relative to B is : a = - ( \mu g  + \frac{ \mu mg}{M})

where

v = u + at

0 = v_o + ( - \mu g - \frac{\mu m g }{M})t

Making t the subject of the formula; we have:

t = \frac{v_o M}{(\mu g )(M+m)}

v^2 = u^2 +2 as\\\\0^2 = v_o^2 - 2 (\mu g ) (\frac{M+m}{M})S\\\\

S = \frac{v_o^2M}{2 \mu g (M+m)}  which implies the distance that A slides relative to B.

The final velocities of the two blocks can be determined as follows:

v = u + at

v = v_o - \mu g \frac{v_oM}{\mu g (M+m)}\\\\v = \frac{\mu g mv_o}{m+M}\\\\

v = \frac{mv_o}{m+M}

Thus, the final velocity of the two blocks is v = \frac{mv_o}{m+M}

You might be interested in
The main difference between the internal combustion engine and the diesel engine is that the diesel engine
NeTakaya
The diesel engine has no ignition system. (C)
It depends on the compression of the fuel/air mixture to ignite the mixture.

This may be a big part of the reason that Diesel engines always
sound to me as if they are falling apart.
4 0
3 years ago
Three 1.5V cells are connected in series in a circuit. What is the total potential difference?
lorasvet [3.4K]

Answer:

4.5V

Explanation:

1.5x3= 4.5

4 0
2 years ago
The combined-gas law relates which of these?
Fofino [41]
The combined-gas law relates which temperature, pressure and volume.

Temperature=T
Pressure=P
Volume=V

(P₁*V₁) / T₁=(P₂*V₂) / T₂

D. Temperature, pressuere and volume.
5 0
3 years ago
Land heats up and cools down quickly because...
chubhunter [2.5K]
I would say it reflects the sun easily. That’s also how we see it :)
6 0
3 years ago
Discuss impact of Newton's second law on roads​
ruslelena [56]

Answer:

The second law: When a force is applied to a car, the change in motion is proportional to the force divided by the mass of the car. This law is expressed by the famous equation F = ma, where F is a force, m is the mass of the car, and a is the acceleration, or change in motion, of the car

4 0
2 years ago
Other questions:
  • sugar solution does not change the colour of green universal indicator what does this tell you about sugar solution
    15·1 answer
  • Technician A says that the pushrods should be rotating while the engine is running if the camshaft and lifters are okay. Technic
    13·1 answer
  • In a circuit a battery is used to
    14·2 answers
  • If the were not tilted on its axis ,what would be the result
    7·1 answer
  • A 100 Ω resistor is connected in series with a 47 µF capacitor and a source whose maximum voltage is 5 V, operating at 100.0 Hz.
    8·1 answer
  • What is the term for the ability to cause change in matter?
    6·1 answer
  • A long straight wire carries a current of 51.7 A. An electron, traveling at 7.43 × 10^7 m/s, is 5.76 cm from the wire.
    8·1 answer
  • Can anyone explain<br>if knows​
    7·2 answers
  • What charge does an object have if it has an excess of electrons?
    6·1 answer
  • 1.00 x 10^8 kg of clear liquid (specific heat
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!