Maximum kinetic energy

In summary, the only force acting on a 2kg mass moving along the x-axis is given by F=(12-2x)N, where x is in m. The velocity of the mass at x=2m is 5.5i m/s. The maximum kinetic energy attained by the mass is 46J, which can be calculated using the formula KE=mv^2. However, there seems to be some confusion about the question and the answer provided by a friend. The force experienced by the mass at x=0 is not given and it is unclear at what value of x the force disappears. It is also uncertain if the force changes linearly and what the average force on the mass is. Without knowing the
  • #1
chaslltt
15
0
1.the only force acting on a 2kg body as it moves along the x-axis is given by F=(12-2x)N where x is in m. the velocity of the body at x=2m is 5.5i m/s. what is the maximum kinetic energy attained by the body?




2. KE= mv^2



3. My friend said the answer is 46J but I am not sure how he got it
 
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  • #2


Looks like there's something wrong with this question.

What is the force experienced by the mass at X=0?
For what value of x does this force disappear?
Does this force change in a linear fashion?
If so, what's the average force on the mass?
Now do we know the average force and the distance over which it operated?
How much work was done?
Can I equate this quantity of work to the kinetic energy received by the mass?

What was the force at x=2m?
What was the average force over the first two metres?
How much work was done in the first two metres?
What was the speed of the mass at two metres?
 
  • #3
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The maximum kinetic energy attained by the body can be calculated using the formula KE= 1/2 * m * v^2, where m is the mass of the body and v is the velocity at a given point.

In this case, the mass of the body is 2kg and the velocity at x=2m is 5.5 m/s. Plugging these values into the formula, we get KE= 1/2 * 2kg * (5.5m/s)^2 = 30.25J.

Therefore, the maximum kinetic energy attained by the body is 30.25J, not 46J as your friend suggested. It is important to carefully check the calculations and units to ensure accurate results.
 

1. What is maximum kinetic energy?

Maximum kinetic energy is the highest amount of energy that an object possesses due to its motion.

2. How is maximum kinetic energy calculated?

Maximum kinetic energy is calculated using the formula KE = 1/2 * m * v^2, where m is the mass of the object and v is its velocity.

3. Can maximum kinetic energy be negative?

No, maximum kinetic energy cannot be negative as it is a measure of the object's energy in motion. Negative energy values do not have physical meaning in this context.

4. What factors affect the maximum kinetic energy of an object?

The maximum kinetic energy of an object is affected by its mass and velocity. An increase in either of these factors will result in a higher maximum kinetic energy.

5. How is maximum kinetic energy different from total kinetic energy?

Maximum kinetic energy is the highest value of kinetic energy that an object can have, while total kinetic energy is the sum of all kinetic energies of the object at a given moment. Maximum kinetic energy is a specific measure, while total kinetic energy is a general measure.

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