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
horsena [70]
3 years ago
12

A centripetal force of 5.0 newtons is applied to a rubber stopper moving at a constant speed in a horizontal circle. If the same

force is applied, but the radius is made smaller, what happens to the speed, v, and the frequency, f, of the stopper.

Physics
1 answer:
mezya [45]3 years ago
3 0

Answer:

Both the frequency f and velocity v will increase.

When the radius reduces, the circumference of the circular path becomes smaller which means that more number of revolutions can be made per unit time as long as the force is kept constant; this is an increase in frequency.

Explanation:

The centripetal force acting on a mass in circular motion is given by equation (1);

F_c=\frac{mv^2}{r}....................(1)

where m is the mass of the object and r is radius of the circle. From equation one we see that the centripetal force is directly proportional to the square of the velocity and inversely proportional to the radius of the circular path.

However, according to the problem, the force is constant while the radius and the velocity changes. Therefore we can write the following equation;

\frac{mv_1^2}{r_1}=\frac{mv_2^2}{r_2}......................(2)

Also recall that m is constant so it cancels out from both sides of equation (2). Therefore from equation we can write the following;

v_2=\sqrt{\frac{v_1^2r_2}{r_1}} .................(2)

By observing equation (2) carefully, the ratio \frac{r_2}{r_1} will with the square root increase v_1 since r_2 is lesser than r_1.

Hence by implication, the value of v_2 will be greater than v_1.

As the radius changes from r_1 to r_2, the velocity also changes from v_1 to v_2.

You might be interested in
A turntable A is built into a stage for use in a theatrical production. It is observed during a rehearsal that a trunk B starts
Helga [31]

Answer:

μ = 0.03

Explanation:

In order for the trunk not to slide the frictional force between the turntable and the trunk must be equal to the unbalanced force applied on the trunk by the motion of the turntable. Therefore,

Unbalanced Force = Frictional Force

but,

Unbalanced Force = ma (Newton's second law of motion)

Frictional Force = μN = μW = μmg

Therefore,

ma = μmg

a = μg

μ = a/g

where,

μ = coefficient of static friction between the trunk and the turntable = ?

a = tangential acceleration of trunk = 0.3 m/s²

g = 9.8 m/s²

Therefore,

μ = (0.3 m/s²)/(9.8 m/s²)

<u>μ = 0.03</u>

6 0
3 years ago
You are riding n a bus moving slowly through heavy traffic at 2.0 m/s. You hurry to the front of the bus at 4.0 m/s relative to
kati45 [8]

Answer:

6 m/s

Explanation:

if the bus and you are moving in the same direction, then you add your speeds together

7 0
2 years ago
If the total charge on a rod of length 0.4 m is 2.6 nc, what is the magnitude of the electric field at a location 3 cm from the
Nana76 [90]
Let the rod be on the x-axes with endpoints -L/2 and L/2 and uniform charge density lambda (2.6nC/0.4m = 7.25 nC/m). 

The point then lies on the y-axes at d = 0.03 m. 

from symmetry, the field at that point will be ascending along the y-axes. 


A charge element at position x on the rod has distance sqrt(x^2 + d^2) to the point. 

Also, from the geometry, the component in the y-direction is d/sqrt(x^2+d^2) times the field strength. 


All in all, the infinitesimal field strength from the charge between x and x+dx is: 


dE = k lambda dx * 1/(x^2+d^2) * d/sqrt(x^2+d^2) 


Therefore, upon integration, 


E = k lambda d INTEGRAL{dx / (x^2 + d^2)^(3/2) } where x goes from -L/2 to L/2. 


This gives:


E = k lambda L / (d sqrt((L/2)^2 + d^2) ) 


But lambda L = Q, the total charge on the rod, so 


E = k Q / ( d * sqrt((L/2)^2 + d^2) )
3 0
2 years ago
A mass of 80 g of KNO3 is dissolved in 100 g of water at 50 ºC. The solution is heated to 70ºC. How many more grams of potassium
slava [35]
Hi um i think its At 30 ° C your welcome
7 0
3 years ago
The force that keeps two surfaces at rest from sliding over each other is
natka813 [3]
Friction is the correct answer.
8 0
3 years ago
Other questions:
  • How do you determine the density of an empty plastic jug?
    12·2 answers
  • An elevator is moving upward at a constant speed of 2.50 m/s. A bolt in the elevator ceiling 3.00 m above the elevator floor wor
    7·1 answer
  • Does the magnetic field- due to the current carrying wire- curve in a clockwise or counter-clockwise direction in the area betwe
    12·1 answer
  • A special vehicle of length 50 m is designed to take passengers at extremely high speeds between different places on earth.
    14·1 answer
  • A hammer falls from the top of a tall building. Ignoring air resistance, how far down will it fall in 3 secs
    15·1 answer
  • 4.
    13·1 answer
  • A thermogram identifies the warm and cool parts of an object by using__________.
    5·1 answer
  • Despite the attempts of the US, Egypt and __ , in 1978 to achieve peace in the Middle East, which region continues to be plagued
    6·1 answer
  • A single, nonconstant force acts in the + x ‑direction on an object of mass M that is constrained to move along the x ‑axis. As
    13·1 answer
  • What is accerlation ?​
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!