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
Fiesta28 [93]
3 years ago
15

An 8.00-kg point mass and a 12.0-kg point mass are held in place 50.0 cm apart. A particle of mass m is released from a point be

tween the two masses 20.0 cm from the 8.00-kg mass along the line connecting the two fixed masses. Find the magnitude and direction of the acceleration of the particle.
Physics
1 answer:
9966 [12]3 years ago
8 0

Answer:

Acceleration of the particle is 4.45 m/s² and acceleration direction is towards the 8 kg point mass.  

Explanation:

Let m₁ be 8 kg point mass and m₂ be 12 kg point mass and take direction along m₁ mass as positive x-axis. The separation between twp point masses is 50 cm. According to the problem, a particle of mass m is held between the two point masses m₁ and m₂.

Distance between m₁ and m, r₁ = 20 cm = 0.2 m

Distance between m₂ and m, r₂ = (50 - 20) cm =30 cm = 0.3 m

The particle of mass m experiences an attractive gravitational force due to both the point masses. Thus, the net force on the particle of mass m is :

F = F₁ + F₂

F₁ is acting along the positive x axis and F₂ is acting along the negative x axis.

F = \frac{Gm_{1}m }{r_{1} ^{2} } - \frac{Gm_{2}m }{r_{2} ^{2} }

Substitute the values of G, m₁, m₂, r₁ and r₂ in the above equation.

F = \frac{6.67\times10^{-11} \times8m }{0.2 ^{2} } - \frac{6.67\times10^{-11}\times12m }{0.3^{2} }

F = 4.45m N/kg

Acceleration of the particle = \frac{F}{m} = 4.45 m/s²

The direction of acceleration of the particle is towards the 8 kg point mass.

You might be interested in
Net force = ?
Snezhnost [94]

Answer:

A. the total net force is 14

B. the total net force is 15

Explanation:

7 0
3 years ago
If you were to walk with a speed if 2m/s for 2 hours how far would you travel
olga nikolaevna [1]
So simply it to 120m/m for 120 minutes. So then you multiply 120x120 and that equals 14,400
7 0
2 years ago
Why transparent object don't form a shadow​
Pani-rosa [81]

Explanation:

Transparent objects do not form shadows. The light passes completely from the transparent objects thus these objects will not form shadow. ... In such objects, the light gets refracted thus, such objects forms shadow. The refraction is also the reason why we can see such objects.

8 0
2 years ago
Read 2 more answers
You serve a volley ball with a mass of 1.5 kg. The ball leaves your hand at 15m/s. The ball has how much kinetic energy?
pav-90 [236]

Answer:

the answer is 168.75 J

5 0
3 years ago
6. The momentum of a 30.0 g bird with a speed of 12 m.s-1 is 0.36 kg.m.s-1. What will be its momentum 12s later if a constant .0
Keith_Richards [23]

Answer:

Explanation:

initial momentum = .36 kg.m.s⁻¹

negative impulse = force x time = .02 x 12 = .24 kg.m.s⁻¹

final momentum - initial momentum = impulse

final momentum = initial momentum + impulse

= .36 - .24

= .12 kg.m.s⁻¹

7 0
2 years ago
Other questions:
  • A 55 newton force applied on an object moves the object 10 meters in the same direction as the force. What is the value of work
    8·2 answers
  • Temperature and volume are directly or inversely
    15·2 answers
  • A toy rocket moving vertically upward passes by a 2.0-m-high window whose sill is 8.0 m above the ground. The rocket takes 0.15
    9·1 answer
  • What are three ways in which heat is transferred
    9·1 answer
  • When the top right-hand capacitor is filled with a material of dielectric constant κ, the charge on this capacitor is increases
    14·2 answers
  • Una pelota rueda por una pendiente con aceleración constante. Cuando pasa por un punto P su velocidad es 1,2 ms-1 y al cabo de u
    13·1 answer
  • Sr-38<br><br> K-19<br><br> K-59<br><br> K-40
    11·1 answer
  • Septum: Left and right atrium: Pacemaker: Left and right ventricles: Valves:
    11·1 answer
  • How did the police catch the Golden State Killer?
    6·1 answer
  • A box of books weighing 319 N is shoved across the floor by a force of 485 N exerted downward at an angle of 35 degres below the
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!