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
stich3 [128]
3 years ago
8

Two solid spheres of radius R made of the same type of steel are placed in contact. The magnitude of the gravitational force the

y exert on each other is F1. When two other solid spheres of radius 3R made of this steel are placed in contact, what is the magnitude of the grav force that they exert on each other?
A) F1
B) 3F1
C) 9F1
D) 81F1
Physics
1 answer:
dimulka [17.4K]3 years ago
3 0
F1 = G * m*m / [2r]  ^2 = G * m^2 / 4r^2

Given the the mass is proportional to the volume and the volume is proportional to r^3, the mass of each big sphere is  3^3 = 27 times the mass of the small spheres. And the distance between the centers is 3r + 3r = 6r

F2 = G * [27m * 27m]/* [6r]^2 = G* 27^2 m^2 / 36r^2 = 81 G*m^2 / 4r^2 = 81*F1

Therefore, F2 = 81F1

Answer: option D) 81F1.
You might be interested in
A vector has a magnitude of 46.0 m and points in a direction 20.0° below the positive x-axis. A second vector, , has a magnitude
irina1246 [14]

Answer with Step-by -step explanation:

We are given that

b.\mid A\mid=46 m

\theta=20^{\circ} below the positive x-axis

Therefore, the angle made by vector A in counter clockwise direction when measure from positive x-axis=x=360-20=340^{\circ}

x-component of vector A=A_x=\mid A\mid cosx=46cos 340=46\times 0.94=43.24

y-Component of vector A=A_y=\mid A\mid sinx=46sin340=46(-0.34)=-15.64

Magnitude of vector B=86 m

The vector B makes angle with positive x- axis=x'=42^{\circ}

x-component of vector B=B_x=86cos42=63.64

y-Component of vector B=B_y=86sin42=57.62

Vector A=A_xi+A_yj=43.24i-15.64j

Vector B=B_xi+B_yj=63.64i+57.62j

Vector C=A+B

Substitute the values

C=43.24i-15.64j+63.64i+57.62j

C=106.88i+41.98j

c.Direction=\theta=tan^{-1}(\frac{y}{x})=tan^{-1}(\frac{41.98}{106.88})=21.5^{\circ}

The direction of the vector C=21.5 degree

6 0
3 years ago
What does this picture mean?
ivann1987 [24]
<span>
be aware of large trucks on the roadway
Tip: usually, these signs are hazard signs or warning.
Also, this isnt physics </span><span />
5 0
3 years ago
Read 2 more answers
A car has a mass of 1.00 × 103 kilograms, and it has an acceleration of 4.5 meters/second2. What is the net force on the car?
aksik [14]

ANSWER


C. F=4.5 \times10^3. newtons


EXPLANATION


According to Newton's second law,



F_{net}=ma, where



m=1.00\times 10^3kg is the mass measured in kilograms.


and


a=4.5ms^{2} is the acceleration in metres per second square.



We substitute these values to obtain,


F=1.00\times10^3 \times 4.5.



We rearrange to get,


F=1.00\times4.5 \times10^3.


We multiply out the first two numbers and leave our answer in standard form to get,



F=4.5 \times10^3 N.



The correct answer is C


3 0
4 years ago
Non examples of convert
german

Answer:

another. persist. continue. last. remain.

Explanation:

8 0
2 years ago
20. The speed of Light is 3.0 x 108 m/s. Blue Light has a frequency of 6.11 x 1014 Hz. What is its wavelength?
Sladkaya [172]

Answer:

4.91 x 10⁻⁷ m

Explanation:

the applicable formula is

v = fλ

where

v = velocity (i.e speed) = given as 3.0 x 10⁸ m/s

f = frequency = given asw 6.11 x 10¹⁴

λ = wavelength

if we rearrange the equation and substitute the values given above,

v = fλ

λ = v/f  

= 3.0 x 10⁸ / 6.11 x 10¹⁴

= 4.91 x 10⁻⁷ m

5 0
3 years ago
Other questions:
  • What happens in terms of energy when a moving car hits a parked car, causing the parked car to move?
    15·2 answers
  • The amplitude of that wave in the diagram below is given by letter ________.
    10·1 answer
  • a horizontal force of 100N is required to push a crate across a factory floor at a constant speed. What is the net force acting
    8·1 answer
  • A positive charge moves in the direction of an electric field. Which of the following statements are true? Check all that apply.
    6·2 answers
  • A primary coil of a transformer in a toy electric car has 300 turns and the secondary coil has 30 turns. How many volts will be
    11·1 answer
  • it takes you 9.5 min to walk with an average velocity of 1.2m/s to the north from the bus stop to the museum entrance. what is y
    14·1 answer
  • Write HCl+MgO---&gt; MgCl 2 + H 2 O as a balanced chemical equation
    14·1 answer
  • Two clouds collide and form another, more massive cloud. One cloud is stationary, while the other is traveling at 1 m/s. After t
    9·1 answer
  • During a power outage, people use generators. What does a geneszitor dia?
    12·1 answer
  • Explain 4 factors affecting centripetal acceleration​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!