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
PLEASE HELP A cup of water and a swimming pool full of water are at 24°C. The _____ of the swimming pool is higher. 1.heat conte
Dimas [21]

Answer:

4. kinetic energy

4 0
3 years ago
A spring stretches by 0.0208 m when a 3.39-kg object is suspended from its end. How much mass should be attached to this spring
sashaice [31]

Answer:

COMPLETE QUESTION

A spring stretches by 0.018 m when a 2.8-kg object is suspended from its end. How much mass should be attached to this spring so that its frequency of vibration is f = 3.0 Hz?

Explanation:

Given that,

Extension of spring

x = 0.0208m

Mass attached m = 3.39kg

Additional mass to have a frequency f

Let the additional mass be m

Using Hooke's law

F= kx

Where F = W = mg = 3.39 ×9.81

F = 33.26N

Then,

F = kx

k = F/x

k = 33.26/0.0208

k = 1598.84 N/m

The frequency is given as

f = ½π√k/m

Make m subject of formula

f² = ¼π² •(k/m

4π²f² = k/m

Then, m4π²f² = k

So, m = k/(4π²f²)

So, this is the general formula,

Then let use the frequency above

f = 3Hz

m = 1598.84/(4×π²×3²)

m = 4.5 kg

4 0
3 years ago
A ball is dropped from the top of a building.
son4ous [18]
Kinetic energy is greatest at the lowest point of a roller coaster and least at the highest point
8 0
3 years ago
Read 2 more answers
The old rubber boot has two leaks. The top of the boot is 0.3 m higher than the leaks. What is the velocity of the water coming
Otrada [13]

Answer:

Leak 1 = 3.43 m/s

Leak 2 = 2.42 m/s

Explanation:

Given that the top of the boot is 0.3 m higher than the leaks. 

Let height H = 0.3m and the acceleration due to gravity g = 9.8 m/s^2

From the figure, the angle of the leak 1 will be approximately equal to 45 degrees. While the leak two can be at 90 degrees.

Using the third equation of motion under gravity, we can calculate the velocity of leak 1 and 2

Find the attached files for the solution and figure

7 0
3 years ago
How expensive is genetic counseling and reproductive technology?
ExtremeBDS [4]

Answer:

Genetic counseling without testing cost on average $213, whereas counseling, testing, and disclosure of results totaled $2057. A brief physician-based counseling instead of genetic counselor-based counseling would produce only small reductions in total costs.

hope it helps, please give me brainliest.

8 0
2 years ago
Other questions:
  • Fred has a very detailed model of the solar system where each planet is made out of granite rock. Since his little sister really
    9·2 answers
  • A force of 1,500 N is moved through 0.10 m in order to compress a steel cylinder. The cylinder was compressed 0.010 m by a force
    9·1 answer
  • A planet is discovered orbiting the star 51 Peg with a period of four days (0.01 years). 51 Peg has the same mass as the Sun. Me
    14·1 answer
  • n airplane flying at a distance of 89.43 km from a radio transmitter receives a signal of intensity 59.44 μW/m2. What is the amp
    6·1 answer
  • In Millikan's experiment, an oil drop of radius 1.362 μm and density 0.888 g/cm3 is suspended in chamber C when a downward-point
    14·1 answer
  • You watch a distant lady driving nails into her front porch at a regular rate of 2 strokes per second. You hear the sound of the
    13·1 answer
  • How many seconds will it
    15·1 answer
  • What do you think are some differences between sound waves traveling through air versus traveling through water?
    12·2 answers
  • Mrs. Paul and Dr. Mykannen ride a tandem bike on the beach. They ride along the beach for about 455 meters. Their final velocity
    14·1 answer
  • The image shows a wheel that’s wound up and released. The wheel moves up and down as shown. Identify the position of the wheel w
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!