Atwood machine - find kinetic energy

In summary, two masses of 1.00kg and 1.01kg are suspended in a frictionless Atwood machine. The acceleration of the 1.010kg mass is found to be 0.0491 m/s^2. To find the total kinetic energy of the masses 2.50s after being released, the velocity of each mass is calculated using vf = vi + at. It is important to note that the final speed should be squared when calculating the kinetic energy.
  • #1
NewJersey
35
0
1) Massess of 1.00kg and 1.01kg are suspended in a frictionless Atwood machine
a) Find acceleration of the 1.010kg mass
b) Find the total kinetic energy of the masses 2.50s after being released

So for a I set up an equation where a= (1.01-1.00)
1.00+1.010 times 9/87m/s
and got .0491 for accelaration is this right.


b) I am confuse
Can anyone help
 
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  • #2
Find the velocity of each mass using vf = vi + at. Then find KE.
 
  • #3
so vf will equal
vf= (0.0491)*(3.8s)

Is part a right.
 
  • #4
part a is correct
 
  • #5
why do you take 3.8 seconds and not 2.50 seconds in the final speed calculation?
 
  • #6
SO KE= 1/2 mv
so i would plugged in 1/2 times the total mass? * vf

IS this right, I will calculate the numbers later
 
  • #7
Yes, but you need to square the speed.
 

Related to Atwood machine - find kinetic energy

1. What is an Atwood machine?

An Atwood machine is a simple mechanical device consisting of two masses connected by a string or cable that passes over a frictionless pulley. It is used to demonstrate the principles of mechanical work and energy.

2. How do you find the kinetic energy of an Atwood machine?

The kinetic energy of an Atwood machine can be found by first calculating the velocity of the masses using the equations of motion. Once the velocity is known, the kinetic energy can be calculated using the equation KE = 1/2 * m * v^2, where m is the mass and v is the velocity.

3. What factors affect the kinetic energy of an Atwood machine?

The kinetic energy of an Atwood machine is affected by the mass and velocity of the masses, as well as the length and tension of the string or cable. Other factors such as friction and air resistance may also play a role.

4. How does the kinetic energy change as the masses move?

As the masses move in an Atwood machine, the kinetic energy changes depending on the direction and magnitude of their velocities. When the masses are moving towards each other, the kinetic energy will increase. When the masses are moving away from each other, the kinetic energy will decrease.

5. Can the kinetic energy of an Atwood machine ever be negative?

No, the kinetic energy of an object can never be negative. It is always a positive value, representing the energy of the object's motion. However, if the direction of motion changes, the kinetic energy can become zero before increasing again in the new direction.

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