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
Elden [556K]
3 years ago
8

Two objects, X and Y, are held at rest on a horizontal frictionless surface and a spring is compressed between them. The mass of

X is 2/5 times the mass of Y. Immediately after the spring is released, X has a kinetic energy of 50 J and Y has a kinetic energy of:
Physics
1 answer:
Ghella [55]3 years ago
7 0

Answer:

20J

Explanation:

Using conservation law of momentum;

since the bodies were at rest, their initial momentum is zero

0 =  M1Vx + M2Vy

- M1Vx = M2Vy where Vx is the final velocity of x after the spring has been release and Vy is final velocity of y and M1 and M2 are the masses of x and y

also M1 = 2/5 M2

substitute M1 into the the equation above

-2/5 M2Vx =  M2Vy

cancel M2 on both side

-2/5Vx =  Vy

comparing the kinetic energy of both x and y

for x K.E = 1/2 M1 Vx²

and y K.E = 1/2M2 Vy²

substitute for M1 = 2/5 M2

K.Ex = 1/2 × 2/5 M2 Vx²

divide  K.Ex / K.Ey = (1/2 × 2/5 M2 Vx²) / 1/2 M2 Vy²

cancel the common terms

K.Ex / K.Ey = (2/5 Vx²) / Vy²

substitute -2/5Vx for Vy

(2/5 Vx²) / ( -2/5 Vx)² = (2/5 Vx²) / ( 4/25 Vx²)

cancel Vx²

(2/5) / (4/25) = 2/5 ÷ 4/25 = 2/5 × 25/4 = 5/2

the ratio of x and y kinetic energy is 5:2

since the kinetic energy of x is 50

50 : 20 = 5 : 2 if 10 is used to divide both sides

the kinetic energy of y = 20 J

You might be interested in
A curved line going up indicates the object is
Vesna [10]

Explanation:

Both graphs show plotted points forming a curved line. Curved lines have changing slope; they may start with a very small slope and begin curving sharply (either upwards or downwards) towards a large slope. In either case, the curved line of changing slope is a sign of accelerated motion (i.e., changing velocity).

8 0
3 years ago
Briefly answer the following questions. a) A clock is mounted on the wall. As you look at it, what is the direction of the angul
Lelu [443]

Answer:

Explanation:

a ) The direction of angular velocity vector of second hand will be along the line going into the plane of dial perpendicular to it.

b )  If the angular acceleration of a rigid body is zero, the angular velocity will remain constant.

c )  If another planet the same size as Earth were put into orbit around the Sun along with Earth  the moment of inertia of the system will increase because the mass of the system increases. Moment of inertia depends upon mass and its distribution around the axis.

d ) Increasing the number of blades on a propeller increases the moment of inertia , because both mass and mass distribution around axis of rotation increases.

e ) It is not possible  that  a body has the same moment of inertia for all possible axes because a body can not remain symmetrical about all axes possible. Sphere has same moment of inertia about all axes passing through its centre.

f ) To maximize the moment of inertia of a flywheel while minimizing its weight, the  shape and distribution of mass should be such that maximum mass of the body may be situated at far end of the body from axis of rotation . So flywheel must have thick outer boundaries and this should be

attached with axis with the help of thin rods .

g ) When the body is rotating at the same place , its translational kinetic   energy is zero but its rotational energy can be increased

at the same place.

3 0
3 years ago
You are in a car moving forward at 12 m/s. You throw a ball in the direction the car is moving. From your point of view, what do
4vir4ik [10]

Answer: it goes the same speed as the car

Explanation:

3 0
3 years ago
Which of the following cars have the most kinetic energy
faltersainse [42]
<h2>Hey There!</h2><h2>_____________________________________</h2><h2>Answer:</h2>

\huge\boxed{OptionA}

<h2>_____________________________________</h2><h2>DATA:</h2><h3>Blue Car: </h3>

mass = 4 kg

velocity = 5 m/s^2

<h3 /><h3>Orange truck:</h3>

Mass= 2kg

Velocity = 7m/s^2

<h3 /><h3>Grey Car:</h3>

mass = 6 kg

velocity = 4m/s^2

<h3 /><h3>Green Car:</h3>

Mass = 8 kg

Velocity = 3 m/s^2

<h2>_____________________________________</h2><h2>SOLUTION:</h2>

By the equation of kinetic energy,

                                       

                                         K.E = \frac{1}{2} mv^2

Where,

            K.E is kinetic energy

            m is mass

            v is velocity

<h2>_____________________________________</h2><h3>Kinetic energy of Blue car:</h3>

 

Directly substitute the variables in the equation,

                                       

                                       K.E = \frac{1}{2}x4x5^2

Simplify the equation,

                                       K.E = 50 J

<h2>_____________________________________</h2><h3>Kinetic Energy of Silver Car:</h3>

                                           

 Directly substitude the variable in the equation,

                                                           

                                        K.E = \frac{1}{2}x6x4^2

Simplify the equation,

                                        K.E = 48J

<h2>_____________________________________</h2><h3>Kinetic Energy of Green Car:</h3><h3 />

Substitute the variables in the equation,

                                         

                                         K.E = \frac{1}{2}x8x3^2

Simplify the Equation,

                                         

                                         K.E = 36J

<h2>_____________________________________</h2><h3>Kinetic Energy of Orange Truck:</h3><h3 />

Substitute the variable,

                                        K.E = \frac{1}{2}x 2x7^2

Simplify the equation,

                                     

                                        K.E = 49J

<h2>_____________________________________</h2>

As you can see that the highest value of kinetic energy is of Blue SUV thus it will be out answer.

<h2>_____________________________________</h2><h2>Best Regards,</h2><h2>'Borz'</h2><h3 /><h3 /><h3 /><h3 /><h2 /><h2 />
6 0
3 years ago
A major advantage of case studies is ________.
Ymorist [56]
You get a lot of detailed information. hope this helped :)
4 0
3 years ago
Other questions:
  • Which option gives an object mass in SI units
    8·1 answer
  • How are galaxies organized and distributed within the universe
    5·2 answers
  • In 1996, NASA performed an experiment called the Tethered Satellite experiment. In this experiment a 2.30 104-m length of wire w
    10·1 answer
  • A street light is at the top of a 13.0 ft. tall pole. A man 6.3 ft tall walks away from the pole with a speed of 3.5 feet/sec al
    13·1 answer
  • A bullet is fired from a gun at 30 angle to the horizontal with a muzzle velocity of 600 m/s.
    12·1 answer
  • Ms. PB is pushing Mr. Rigney in a wheelchair with a force of 10 N East, while Mr. Rigney is using his arms to
    9·1 answer
  • Why should we invest more money in renewable energy resources
    5·1 answer
  • What is the kinetic energy of a 14kg object traveling at 10m/s
    15·1 answer
  • Please answer the question in the picture
    12·1 answer
  • Potential energy is the energy an object has due to its:
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!