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
SSSSS [86.1K]
3 years ago
7

A ball of mass 24.1 g is attached to a cord of length 0.417 m and rotates in a vertical circle. What is the minimum speed the ba

ll must have at the top of the circle so the cord does not become slack? The acceleration of gravity is 9.8 m/s².
Answer in units of m/s.
Physics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0

Answer:

<em>the minimum speed that the ball must have so that the cord does not become slack is</em> <em>2.02 m/s.</em>

<em></em>

Explanation:

In order to avoid slack, the centripetal force of the ball must equal its weight at the top of the circle. Therefore,

F_c = F_g

m v² / r = m g

v² = g r

v = √[g r]

v = √[(9.8 m/s²)(0.417 m)]

<em>v = 2.02 m/s </em>

Therefore,<em> the minimum speed that the ball must have so that the cord does not become slack is</em> <em>2.02 m/s.</em>

You might be interested in
A rock is thrown from the top of a 20-m building at an angle of 53° above the horizontal. If the horizontal range of the throw
NemiM [27]

Answer:

28.5 m/s

18.22 m/s

Explanation:

h = 20 m, R = 20 m, theta = 53 degree

Let the speed of throwing is u and the speed with which it strikes the ground is v.

Horizontal distance, R = horizontal velocity x time

Let t be the time taken

20 = u Cos 53 x t

u t = 20/0.6 = 33.33 ..... (1)

Now use second equation of motion in vertical direction

h = u Sin 53 t - 1/2 g t^2

20 = 33.33 x 0.8 - 4.9 t^2     (ut = 33.33 from equation 1)

t = 1.17 s

Put in equation (1)

u = 33.33 / 1.17 = 28.5 m/s

Let v be the velocity just before striking the ground

vx = u Cos 53 = 28.5 x 0.6 = 17.15 m/s

vy = uSin 53 - 9.8 x 1.17

vy = 28.5 x 0.8 - 16.66

vy = 6.14 m/s

v^2 = vx^2 + vy^2 = 17.15^2 + 6.14^2

v = 18.22 m/s

6 0
3 years ago
A climber pulls herself 8 meters upwards with a force of 150 Newtons. If it takes her 16 seconds to cover the 8 meters, how much
mr Goodwill [35]

Answer:

 P = 75 W

Explanation:

given,

Distance, L = 8 m

Force,F = 150 N

Time, t = 16 s

Work by the climber

Work done = Force x displacement

W = F. L

W = 150 x 8

W = 1200 J

We know,

Power =\dfrac{Work\ done}{time}

P =\dfrac{1200}{16}

 P = 75 W

Hence, Power climber is using to climb is equal to 75 W.

3 0
3 years ago
One of the leading causes of permanent damage leading to hearing impairment is _____.
Maslowich
One of the leading causes of hearing impairment that's due to damage
of the ear machinery is prolonged exposure to loud noise or loud music,
which damage the tiny hair cells that stimulate nerve endings in the inner ear.               
Trust me.
6 0
3 years ago
Read 2 more answers
Explain why electric forces are essential to forming compounds
Nina [5.8K]
It <span>Ions were once atoms with the same number of electrons and protons. Since they have opposite charges atoms are neutral. When they become ions the lose or gain electrons and become unbalanced. ... These different charges are attracted to each other via electric forces.</span>
7 0
4 years ago
Light traveling though air strikes the surface of the four different materials shown. Which material reflects light but does not
dangina [55]
The spoons .................
8 0
4 years ago
Other questions:
  • A 68.0 Kg tightrope walker stands at the center of a rope. The rope supports are 10 m apart and the rope sags 8.00 degrees at ea
    13·1 answer
  • A torque of 35.6 N · m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result
    12·1 answer
  • True or False. If a desk is pushed at a
    13·1 answer
  • How do you find speed of a ball at maximum height
    13·1 answer
  • If a cat falls off a ledge, the Earth pulls the cat to the ground with the force of gravity. According to Newton's Third Law the
    7·2 answers
  • You need to calculate the volume of berm that has a starting cross-sectional area of 118 SF, and an ending cross-sectional area
    6·1 answer
  • HURRY IM TIMED!!!!Anya knows the velocity of an object. What else does she need to know in order to find the object’s momentum?
    8·2 answers
  • Una carga eléctrica de 120 Coulomb pasa uniformemente por la sección transversal de un hilo conductor durante un minuto. La inte
    9·1 answer
  • WHAT IS THE MESURE OF THE AVERAGE KINETIC ENERGY OF THE PARTICLES IN A NATERIAL KNOWN AS
    7·1 answer
  • Erwin Schrödinger developed the quantum model of the atom. What scientific knowledge was necessary for Schrödinger’s work?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!