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
netineya [11]
2 years ago
14

You tie a cord to a pail of water and swing the pail in a vertical circle of radius 0.710 mm . What minumum speed must the pail

have at its highest point if no water is to spill from it?
Physics
1 answer:
Blababa [14]2 years ago
7 0

Answer:

The minumum speed the pail must have at its highest point if no water is to spill from it

= 2.64 m/s

Explanation:

Working with the forces acting on the water in the pail at any point.

The weight of water is always directed downwards.

The normal force exerted on the water by the pail is always directed towards the centre of the circle of the circular motion.

And the centripetal force, which keeps the system in its circular motion, is the net force as a result of those two previously mentioned force.

At the highest point of the motion, the top of the vertical circle, the weight and the normal force on the water are both directed downwards.

Net force = W + (normal force)

But the speed of this motion can be lowered enough to a point where the normal force becomes zero at the moment the pail reaches the highest point of its motion. Any speed lower than this value would result in the water spilling out of the pail. The water would not be able to resist the force of gravity.

At this point of minimum velocity,

Normal force = 0

Net force = W

Net force = centripetal force = (mv²/r)

W = mg

(mv²/r) = mg

r = 0.710 m

g = 9.8 m/s²

v² = gr = 9.8 × 0.71 = 6.958

v = √(6.958) = 2.64 m/s

Hope this Helps!!!

You might be interested in
How does a battery work?
Flauer [41]

Answer:

Essentials. A battery is a device that stores chemical energy and converts it to electrical energy. The chemical reactions in a battery involve the flow of electrons from one material (electrode) to another, through an external circuit. The flow of electrons provides an electric current that can be used to do work.

3 0
3 years ago
A 200-foot tall monument is located in the distance. From a window in a building, a person determines that the angle of elevatio
egoroff_w [7]

Answer:

665 ft

Explanation:

Let d be the distance from the person to the monument. Note that d is perpendicular to the monument and would make 2 triangles with the monuments, 1 up and 1 down.

The side length of the up right-triangle knowing the other side is d and the angle of elevation is 13 degrees is

dtan13^0 = 0.231d

Similarly, the side length of the down right-triangle knowing the other side is d and the angle of depression is 4 degrees

dtan4^0 = 0.07d

Since the 2 sides length above make up the 200 foot monument, their total length is

0.231d + 0.07d = 200

0.301 d = 200

d = 200 / 0.301 = 665 ft

7 0
3 years ago
HELP!
Angelina_Jolie [31]

Answer:

speed is increasing.

this is because the graph has a positive slope (due to it going up ), if it were decreasing, the graph would be going down

4 0
3 years ago
Read 2 more answers
As the boat in which he is riding approaches a dock at 3.0 m/s, Jasper stands up in the boat and jumps toward the dock. Jasper a
Annette [7]
Im pretty sure it’s a because it makes more sense you know?.
5 0
2 years ago
A book, that has a mass of 0.5 grams, is pushed across a table with a force of 20 newtons. What is the acceleration of the book?
Bas_tet [7]

Answer:

4\cdot 10^4 m/s^2

Explanation:

The acceleration of an object is given by Newton's second law:

a=\frac{F}{m}

where

F is the net force applied on the object

m is the mass of the object

For the book in the problem, we have:

m=0.5 g =5\cdot 10^{-4} kg is the mass

F=20 N is the force applied

Substituting into the formula, we find the acceleration:

a=\frac{20 N}{5\cdot 10^{-4} kg}=4\cdot 10^4 m/s^2

6 0
2 years ago
Other questions:
  • Which statement is true about an object that is moving in a circular motion due to centripetal force, F, when the radius of its
    10·1 answer
  • A solenoid made from 600 turns of wire on a cylindrical form 2cm in diameter and 10cm long has a current of 3 amps on it. Find t
    15·2 answers
  • If the mass of the ladder is 12.0 kgkg, the mass of the painter is 55.0 kgkg, and the ladder begins to slip at its base when her
    8·1 answer
  • Water is the most common polar solvent. All of the following will dissolve, or be soluble, in water except _________.
    7·2 answers
  • 6. A snowball that will be used to build a snowman is at the top of the only hill in town and weighs 22
    8·1 answer
  • What is the wavelength (in nm) of a photon emitted during transition from the n = 3 state to the n = 1 state in the H atom?
    6·1 answer
  • An arrow is shot at an angle 38 ◦ with the horizontal. It has a velocity of 46 m/s. How high will the arrow go?
    13·1 answer
  • What is the mass of a cannonball if a force of 2,500 N gives the cannonball an acceleration of 200m/s2?
    10·2 answers
  • Which material(s) listed below is an example of a persistent organic pollutant?
    14·1 answer
  • A 0. 50 l sample of a gas has a mass of 11. 3 g at stp. what is the mass of 1. 00 mol of this gas? in other words, what is the m
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!