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
Over [174]
2 years ago
11

A child sits on a rotating merry-go-round, 2.1 m from its center. If the speed of the child is 2.2 m/s, what is the minimum coef

ficient of static friction between the child and the merry-go-round that will prevent the child from slipping?
Physics
1 answer:
kipiarov [429]2 years ago
6 0

Answer:A

Explanation:

From the question, the given parameters are given.

Mass M = 30kg

Radius r = 2 m

Coefficient of static friction μ = 0.8

Coefficient of kinetic friction μ = 0.6

Kinetic friction Fk = μ × mg

Fk = 0.6 × 30 × 9.8

Fk = 176.4 N

The force acting on the merry go round is a centripetal force F.

F = MV^2/r

This force must be greater than or equal to the kinetic friction Fk. That is,

F = Fk

F = 176.4

Substitute F , M and r into the centripetal force formula above

176.4 = (30×V^2)/2

Cross multiply

352.8 = 30V^2

V^2 = 352.8/30

V = sqrt (11.76) m/s

V = 5.24 m/s

Therefore, the maximum speed of the merry go round before the child begins to slip is sqrt (12) m/s approximately

You might be interested in
Beginning at time t = 0, a student exerts a horizontal force on a box of mass 30 kg, causing it to move at 1.2 m/s toward an ele
Alexandra [31]
Since the initial and the final velocity are just equal, it is implied that the acceleration is zero. This means that the net force acting on the body is also zero. The horizontal force should be equal to the force of friction. The force of friction is equal to the product of the coefficient and the normal force. 
                               

 Ff = (coefficient of friction) x Fn


The normal force is equal to the object's weight if the surface is horizontal.


                               Ff = (0.20) x (30 kg) x (9.8 m/s²)  = 58.8 N
<span>

<span>Thus, the horizontal force exerted must be 58.8 N. 

--------------------------------------


I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

</span></span>
6 0
3 years ago
Which is a unit of pressure? A. gram B. Kilopascals C. Newtons D. Kilograms
Finger [1]

B. Kilopascals.

A kilopascal equals to 1,000 pascals; and a pascal is equal to a force of 1 newton per square meter.

Meanwhile,

- a gram and a kilogram are both units of measurement for mass, and

- a newton is a unit of measurement for force.

6 0
3 years ago
What is the last step to take in order to keep food safe?
gtnhenbr [62]
I think it would be clean and store.
6 0
3 years ago
Read 2 more answers
12. If you cut a wooden block in half, the density will:
Rainbow [258]

Answer:

The density will decrease over time

Explanation:

It is like when you cut cheese and leave it out for a day of two it is crusty on the outside but when you cut it in half and leave it out for the same amout of time it is even crustier than the whole one.

Hope this helps

please tell me if I'm wrong and i will try to correct my answer

8 0
3 years ago
Read 2 more answers
What is the center of a electromagnet called?
grigory [225]
A ferromagnetic core
4 0
4 years ago
Other questions:
  • A girl is running toward the front of a train at 10 m/s. If the train is going 75 m/s on the Southbound tracks, what is the spee
    6·2 answers
  • (i) a force of 35.0 n is required to start a 6.0-kg box moving across a horizontal concrete floor, (a) what is the coefficient o
    10·1 answer
  • Two trains on separate tracks move toward each other. Train 1 has a speed of 109 km/h; train 2, a speed of 99.0 km/h. Train 2 bl
    5·1 answer
  • What is the ability to complete extended periods of physical activity?
    11·2 answers
  • WHY IS SATURN ONE OF THE COLDEST PLANETS IN OUR SOLAR SYSTEM
    14·1 answer
  • A screw driver acts as a lever when used to open a paint can. If Juan applies a force of 25 N to the handle of the screwdriver.
    13·1 answer
  • Students performed several trials using the laboratory setup shown.
    14·1 answer
  • A whale swims due east for a distance of 6.9 km, turns around and goes due west for 1.8 km, and finally turns around again and h
    11·1 answer
  • 1. How should Rick correct his technique?
    13·1 answer
  • What would be an ideal experiment to test how different types of surfaces affect friction?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!