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
Rina8888 [55]
3 years ago
10

A cylinder of mass 14.0 kg rolls without slipping on a horizontal surface. At a certain instant its center of mass has a speed o

f 9.0 m/s. (a) Determine the translational kinetic energy of its center of mass. J (b) Determine the rotational kinetic energy about its center of mass. J (c) Determine its total energy.
Physics
2 answers:
aev [14]3 years ago
6 0

Answer:

a) 567J

b) 283.5J

c)850.5J

Explanation:

The expression for the translational kinetic energy is,

E_r = \frac{1}{2} mv^2

Substitute,

14kg for m

9m/s for v

E_r = \frac{1}{2} (14) (9)^2\\= 567J

The translational kinetic energy of the center of mass is 567J

(B)

The expression for the rotational kinetic energy is,

E_R = \frac{1}{2} Iw^2

The expression for the moment of inertia of the cylinder is,

I = \frac{1}{2} mr^2

The expression for angular velocity is,

w = \frac{v}{r}

substitute

1/2mr² for I

and vr for w

in equation for rotational kinetic energy as follows:

E_R = (\frac{1}{2}) (\frac{1}{2} mr^2)(\frac{v}{r} )^2

= \frac{mv^2}{4}

E_R = \frac{14 \times 9^2 }{4} \\\\= 283.5J

The rotational kinetic energy of the center of mass is 283.5J

(c)

The expression for the total energy is,

E = E_r + E_R\\\\

substitute 567J for E(r) and 283.5J for E(R)

E = 567J + 283.5\\= 850.5J

The total energy of the cylinder is 850.5J

Dmitrij [34]3 years ago
6 0

Answer:

a) 567J

b) 283.5J

c) 850.5J

Explanation:

given

Mass of the cylinder, m = 14kg

Speed of mass, v = 9m/s

To determine the Translational Kinetic Energy, we use KE = 1/2mv²

KE(trans) = 1/2 * 14 * 9²

KE(trans) = 567J

To determine the Rotational Kinetic Energy, we use = 1/2Iw²

KE(rot) = 1/2Iw² = 1/2 * 1/2mr² * (v/r) ²

KE(rot) = 1/4 * mv²

KE(rot) = 1/4 * 14 * 9²

KE(rot) = 283.5J

To determine the Total Energy, we sum up both the transnational and rotational energies = KE(trans) + KE(rot)

Total energy = 567J + 283.5J

Total energy = 850.5J

You might be interested in
How much work is done when a 5 N force moves a block 4 m?
katen-ka-za [31]
20N•m or 20J. Work is equal to force•distance, and 5N•4m is 20N•m, or J
4 0
3 years ago
A small hot-air balloon is filled with 1.01×106 l of air (d = 1.20 g/l). as the air in the balloon is heated, it expands to 1.10
lara31 [8.8K]
<span>Volume of air in the balloon 1.01 x 10^6 L
 Density of air is 1.20 g/l
 Mass = Density X Volume

 So mass of the air in the Balloon= ( 1.01 x 10^6) X 1.20 = 1.212 x 10^6 g
 As the air is heated, the volume of air in the balloon expands to 1.10x 10^6 L Density= Mass/ voume So the Density of heated air = 1.212 x 10^6/ 1.10x 10^6 = 1.101 g/l The answer is 1.101 g/l.</span>
5 0
3 years ago
The current in a hair dryer measures 15 amps. The resistance of the hair dryer is 14 ohms. What is the voltage?
ZanzabumX [31]
We have that there is a formula connecting these three. V=I*R where V is voltage, I is the current and R is the resistance. Substituting, we get that V=210 Volta, which is the unit of measurement for voltage. You can think of the relationship in the following way : The energy of the field is equal to the flow of the field times the resistance that it meets.
6 0
3 years ago
When does a object have the greatest kinetic energy?
Rufina [12.5K]
When Object is at zero height, and there is no potential energy possess by the object then it exerts Greatest Kinetic energy in it's whole Journey

Hope this helps!
8 0
3 years ago
1. How are each of Newton’s Laws of motion demonstrated
stepan [7]

Answer:

Newton's law of inertia - His first law states that every object remains at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. ... This is the first part cited in Newton's first law; "there is no net force on the airplane and it travels at a constant velocity in a straight line."

Newton's law of acceleration -  "a net external force changes the velocity of the object. The drag of the aircraft depends on the square of the velocity. So the drag increases with increased velocity."

Newton's law of Action/Reaction - "As a plane flies, the force of the air hitting the plane is always equal and opposite to the force of the plane pushing against the air. The force generated by the engine pushes against air while the air pushes back with an equal and opposite force."

Hope this helps! god bless :)

Please give me brainliest!

5 0
3 years ago
Other questions:
  • Two soccer players kick the same 1-kg ball at the same time in opposite directions. One kicks with a force of 25N the other kick
    8·1 answer
  • Identify two types of simple machines in this compund machine.
    5·2 answers
  • Init. A
    14·1 answer
  • Calculate the force of friction that keeps an 80-kg person sitting on the edge of a horizontal rotating platform when the person
    11·1 answer
  • What is physical quantity​
    10·2 answers
  • The length of second hand of clock is 14cm, an ant sits on the top of second hand. find the following
    9·1 answer
  • A naked, male corpse was found at 8AM on Tuesday, July 9.The air temperature wasalready 26.7˚C (81˚F). The body exhibited some s
    15·1 answer
  • Which material would result in the greatest amount of energy transfer? An absorber that is dark in color and rough. A reflector
    6·2 answers
  • Describe an object that emits radiation in Astronomy
    9·1 answer
  • A scientist uses a camera to study the stars.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!