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
GenaCL600 [577]
3 years ago
8

A boy is whirling a stone around his head by means of a string. The string makes one complete revolution every second; and the m

agnitude of the tension in the string is F. The boy then speeds up the stone, keeping the radius of the circle unchanged, so that the string makes two complete revolutions every second. What happens to the tension in the sting?
(A) The magnitude of the tension increases to four times its original value, 4F.
(B) The magnitude of the tension reduces to half of its original value, F/2.
(C) The magnitude of the tension is unchanged.
(D) The magnitude of the tension reduces to one-fourth of its original value, F/4.
(E) The magnitude of the tension increases to twice its original value, 2F.
Physics
1 answer:
natulia [17]3 years ago
3 0

Answer:

(A) The magnitude of the tension increases to four times its original value, 4F.

Explanation:

When an object moves in circular motion,  a centripetal force acts on it . In this scenario the centripetal force acting on the stone is given by \frac { m{ v }^{ 2 } }{ r }.

                   Where m is the mass of object

                               v- velocity or speed of the object

                               r - radius of the circle

Important to note is that the tension is equal to the  centripetal force.

Given that initially the string makes one complete revolution per second and then speeds up to make two complete revolutions in a second .It implies that the speed has doubled .

Using our equation :F =\frac { m{ v }^{ 2 } }{ r }

                               where F is the tension in the string

let the initial speed be =v  then after it doubles it becomes 2v

Keeping the radius of the circle unchanged we have :

F=\frac { m{ (2v) }^{ 2 } }{ r } =\frac { 4m{ v }^{ 2 } }{ r }

From the equation it can be seen that the initial Tension has  increased by a factor of 4 .

Therefore the magnitude of the tension increases to four times its original value, 4F.

 

You might be interested in
A car speed off around a bend at a constant 10m/s explain why it's velocity is not constant
VARVARA [1.3K]
It's velocity is not constant as direction is changing.
 
We know, velocity is speed with direction, so if direction is changing, velocity can't be constant, doesn't matter that speed is constant.

Hope this helps!
8 0
3 years ago
Suppose two point charges, Q1 = -6.25 x 10-9 C and Q2 = -6.25 x 10-9 C, are separated by a distance d = 0.617 m.
n200080 [17]

Answer:

The answer to your question is the letter A) F =  9.23 x 10⁻⁷ N

Explanation:

Data

q₁ = -6.25 x 10⁻⁹ C

q₂ = -6.25 x 10⁻⁹ C

d = 0.617 m

k = 9 x 10⁹ Nm²/C²

F = ?

Formula

              F = k q₁q₂ /r²

-Substitution

              F = (9 x 10⁹)(-6.25 x 10⁻⁹)(-6.25 x 10⁻⁹) / (0.617)²

-Simplification

              F = 3.512 x 10⁻⁷ / 0.381

-Result

              F = 9.227 x 10⁻⁷ N  ≈ 9.23 x 10⁻⁷ N

8 0
3 years ago
A wave traveling in water has a frequency of 500.0 Hz and a wavelength of 3.00 m. What is the speed of the wave?
Sergeu [11.5K]

Answer:

1500 m/s

Explanation:

Recall that for a wave,

Speed = frequency x wavelength

here we are given frequency = 500 Hz and wavelength = 3m

simply substitute into above equation

Speed = 500 Hz x 3m

= 1500 m/s

6 0
3 years ago
The gravitational force between two objects is 100 N.
defon
200N is the answer (at least thats what I think)
5 0
2 years ago
Pluto was first discovered in 1930.It was determined to be located about 39.48 times as far away from the Sun as Earth is. How l
Mice21 [21]

Answer:

It takes total 248 years for Pluto to orbit the sun.

7 0
2 years ago
Other questions:
  • Which of the following intermolecular forces explains why iodine (I2) is a solid at room temperature?
    8·1 answer
  • Planting along the natural slip of the land to reduce soil erosion is called ____
    10·1 answer
  • Explain how power and work are related
    6·2 answers
  • Thandy is looking at two cells under the microscope.One is a human cheek cell and the other is a leaf mesophyll cell from a plan
    12·1 answer
  • How much heat is needed to change 1.25 kg of steak at 100°C to water at 100°C?
    12·1 answer
  • Differentiate between a cation and an anion.​
    15·1 answer
  • Developed countries typically have _______.
    10·1 answer
  • 6. During an impact time casting 5 x 10-45 a gulf club exerts an average impar
    8·1 answer
  • A cyclist accelerates from 0m/s to 8m/s in 3 seconds.
    14·1 answer
  • The specification limits are 49 /- 3. Assume that the data is normally distributed! estimate process capability ratio’s (cp, cpk
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!