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
stealth61 [152]
2 years ago
13

You are spinning a rock, of mass 0.75 kg, at the end of a string of length 0.86m in a vertical circle in uniform circular motion

. What minimum speed is necessary so that there is no tension in the string at the top of the circle but the rock stays in the same circular path? If the string's maximum tension is 45 N, what is the maximum speed the rock can have so that the string does not break? At what point in the vertical circle does this maximum value occur?
Physics
1 answer:
Nina [5.8K]2 years ago
4 0

Answer:

v (minimum speed) = 2.90 m/sec.

\\ \\ maximum speed (v)= 6.57 m/sec.\\

Maximum value of speed will occur at lowest point of vertical circle.

Explanation:

a)  What minimum speed is necessary so that there is no tension in the string at the top of the circle but the rock stays in the same circular path?

Using the force balance expression at the top of the circle,

Gravitational Force + Tension force = Centrifugal force

m*g + T = m*v^2/R

Given that : T = 0

R = length of string = 0.86 m

mass of the spinning rock = 0.75 kg

v = \sqrt{g*R}

v = \sqrt{9.81*0.86}

v (minimum speed) = 2.90 m/sec.

b) what is the maximum speed the rock can have so that the string does not break?

Here the  force balance at bottom of circle is represented by the illustration:

T = m*g + m*v^2/R

Given that:

maximum tension T = 45 N

maximum speed v = ??

mass  m = 0.75 kg

∴

45 - 0.75*9.81 = 0.75*\frac{v^2}{0.86} \\\\v^2 = 0.86*(45 - 0.75*9.81)/0.75 \\ v = \sqrt{0.86*(45 - 0.75*9.81)/0.75\\ maximum speed (v)= 6.57 m/sec.\\

c)

At what point in the vertical circle does this maximum value occur?

Maximum value of speed will occur at lowest point of vertical circle.

This is so because  at the lowest point; the tension in string will be maximum.

You might be interested in
Even though you are getting closer to the sun as you ascend into the toposphere, why does the temperature drop?
pishuonlain [190]

Answer: The lower areas of the Atmosphere have a high temperature through the heats from the ground.

Explanation: High temperature experienced on the Earth surface is majorly caused by heats from the ground ( Earth crust).As a person ascend up to the Toposphere the temperature continues to reduce because because the heat from the ground is reduced as the heights increased.

It has been proven that as a person ascends into the Toposphere the amount of air and pressure reduces this will eventually lead to expansion of the gas particles which will then reduce the temperature.

4 0
3 years ago
Read 2 more answers
África tiene más de 1000 lenguas, pero solo 50 son habladas por más de 500 mil personas, explica si esto es un aspecto positivo
Misha Larkins [42]

Answer:

put it in English please

7 0
3 years ago
Which statement is true regarding the vectors shown.
kap26 [50]

Answer:

Y-> + F-> +G ->=E->

Explanation:

7 0
2 years ago
What is nucleic acid
Alekssandra [29.7K]

like dioxyribonucleic acid? if so then that's DNA


8 0
3 years ago
What is gamma radiation composed of?
Paha777 [63]
Gamma radiation is composed of the stable form of nuclei and most important Helium Atom is released in this reaction !

gamma radiation is due to fission in which the radioactive substance is bombarded and as a result a stable form of that element is formed and a Helium atom !
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which subatomic particle effects an elements chemical behavior
    15·1 answer
  • A 60-watt light bulb carries a current of 0.5 ampere. The total charge passing through it in one hour is:
    14·1 answer
  • The sound waves a bat releases hit an object and are_____ back to the bat.
    14·2 answers
  • Is a roller coaster moving downhill is a potential or kinetic energy?
    7·1 answer
  • When was hawaii volcanoes national park established
    14·1 answer
  • Why scientifically died it hurt when you stub your toe in the corner of a wall?
    7·1 answer
  • What is simple machines and it type.I need it today please​
    6·1 answer
  • What do signal trainees do
    12·1 answer
  • 10-kg box is sliding across an ice rink at 10 m/s . A skater exerts a constant force of 10 N against it. How long will it take f
    12·1 answer
  • PLEASE HURRY
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!