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
7nadin3 [17]
3 years ago
15

A student connects an object with mass m to a rope with a length r and then rotates the rope around her head parallel to the gro

und. the object takes 0.5 seconds to complete one rotation.
mass= 50 kg. length of the rope = 1.2 m
what is the objects speed of rotation?
what is the objects centripetal acceleration?
what tension force is required to maintain this motion?​
Physics
1 answer:
Alexandra [31]3 years ago
7 0

The object takes 0.5 seconds to complete one rotation, so its rotational speed is 1/0.5 rot/s = 2 rot/s.

Convert this to linear speed; for each rotation, the object travels a distance equal to the circumference of its path, or 2<em>π</em> (1.2 m) = 2.4<em>π</em> m ≈ 7.5 m, so that

2 rot/s = (2 rot/s) • (2.4<em>π</em> m/rot) = 4.8<em>π</em> m/s ≈ 15 m/s

thus giving it a centripetal acceleration of

<em>a</em> = (4.8<em>π</em> m/s)² / (1.2 m) ≈ 190 m/s².

Then the tension in the rope is

<em>T</em> = (50 kg) <em>a</em> ≈ 9500 N.

You might be interested in
A Tale f Two Elephants
Murljashka [212]

Answer:

u need it now?

Explanation:

I'll answer it

3 0
4 years ago
The energy flow to the earth from sunlight is about 1.40 kw/m2 . part a find the maximum value of the electric field for a sinus
Lilit [14]
Energy ,E= Sqrt{Energy intensity*Speed of light*Magnetic constant}

Where,
Energy intensity = 1.40 kW/m^2 = 1400 W/m^2
Speed of light = 3*10^8 m/s
Magnetic constant = 4pi*10^-7 H

Therefore,
E= Sqrt{1400*3*10^8*4*pi*10^-7} = 726.49 v/m

Now,
Emax = E*sqrt (2) = 726.49*Sqrt(2) = 1027.41 v/m
6 0
4 years ago
Andrea is investigating how increasing the concentration of sugar affects the boiling point of the solution. What would be the b
NNADVOKAT [17]

An increase in the concentration of sugar in a solution leads to the increase in boiling point of the solution.

<h3>What is boiling point?</h3>

Boiling point of a solution is that pressure exerted on a liquid by its surrounding is equal to the vapour pressure of the liquid.

When there is an increase in concentration of solute, more space will be occupied in the fluid leading to an increase in the boiling point of the fluid.

Therefore, An increase in the concentration of sugar in a solution leads to the increase in boiling point of the solution.

Learn more about boiling point here:

brainly.com/question/40140

#SPJ1

5 0
2 years ago
A hockey puck is hit on a frozen lake and starts moving with a speed of 12.0 m/s. exactly 5.0 s later, its speed is 6.0 m/s. wha
Anna35 [415]
1) In an uniformly accelerated motion, the acceleration is given by:
a= \frac{v_f-v_i}{\Delta t}
where v_f is the final speed, v_i is the initial speed, and \Delta t is the time interval between the initial and final point of the motion.

Using the data of the problem: v_i = 12.0 m/s, v_f = 6.0 m/s, and the time \Delta t = 5.0 s, the acceleration is
a= \frac{6 m/s-12 m/s}{5.0 s}=-1.2 m/s^2
where the negative sign means that the hockey puck is decelerating.

2) The frictional force F between the puck and ice is responsible for the deceleration of the puck, and for second Newton's law this force is equal to the product between the mass of the puck m and the acceleration:
F=ma (1)
The frictional force can also be written as
F=-\mu_D mg (2)
where \mu_D is the coefficient of kinetic friction, and where the negative sign is due to the fact that the frictional force acts against the direction of motion of the puck. By equilizing (1) and (2) we can find the value of this coefficient:
ma=-\mu_D mg
\mu_D =   -\frac{a}{g}=  -\frac{-1.2 m/s^2}{9.81 m/s^2}=0.12
5 0
4 years ago
10. A satellites is in a circular orbit around the earth at a height of 360 km above the earth’s surface. What is its time perio
Afina-wow [57]

Answer:

Orbital speed=8102.39m/s

Time period=2935.98seconds

Explanation:

For the satellite to be in a stable orbit at a height, h, its centripetal acceleration V2R+h must equal the acceleration due to gravity at that distance from the center of the earth g(R2(R+h)2)

V2R+h=g(R2(R+h)2)

V=√g(R2R+h)

V= sqrt(9.8 × (6371000)^2/(6371000+360000)

V= sqrt(9.8× (4.059×10^13/6731000)

V=sqrt(65648789.18)

V= 8102.39m/s

Time period ,T= sqrt(4× pi×R^3)/(G× Mcentral)

T= sqrt(4×3.142×(6.47×10^6)^3/(6.673×10^-11)×(5.98×10^24)

T=sqrt(3.40×10^21)/ (3.99×10^14)

T= sqrt(0.862×10^7)

T= 2935.98seconds

4 0
3 years ago
Other questions:
  • A car initially moving at 9 m/s begins accelerating at its maximum acceleration of 4 m/s2. if the car maintains this acceleratio
    15·1 answer
  • If the amplitude of a sound wave is increased, there is an increase in the sound’s
    9·2 answers
  • Genes are found on DNA, which makes up chromosomes in the nucleus of a cell. True False
    13·2 answers
  • What does mean kinematics
    10·2 answers
  • What is meant by resistance
    7·2 answers
  • A rocket traveling at 150 m/s is accelerated for 15 seconds at a rate of 4.5
    11·1 answer
  • What equation is used to calculate momentum
    6·1 answer
  • Hey, guys I kinda need help with this question, 1. The number of atoms of each element are not equal on both sides of the equati
    14·2 answers
  • Which type of force can be used to kick a soccer ball?
    6·2 answers
  • A solar-powered car has a kinetic energy of 110250 J. Its mass is 180 kg. Work out how fast the car is travelling Enter a number
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!