Kinetic Energy of Object Question

In summary, the correct answer to the question about the kinetic energy gained by an object dropped off a cliff with air resistance is option E, mgh - fh. This is because air resistance does work on the object, removing energy from it, resulting in a decrease in kinetic energy compared to a situation without air resistance.
  • #1
MetsFan09
5
0
[SOLVED] Kinetic Energy Question

Homework Statement



An object is dropped off a cliff of height h and is subjected to an average force of air resistance of F. If the object has a mass of m the KE it gains during the fall will be equal to.
a. mgh
b. mgh + f
c. mgh -f
d. mgh+ fh
e. mgh - fh

Homework Equations





The Attempt at a Solution


What I'm not sure about is does air resistance even factor in KE which would then make it answe A or does it add or subtract to it.
 
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  • #2
The answer is not A. The force of air resistance will cause the object to speed up more slowly than it would without air resistance. In other words, the air resistance does work which removes energy from the object.

So, using this knowledge and the definition of the work done by a force, what do you think is the correct response?
 
  • #3
If that's correct it wouldn't it be choice E then?
 
  • #4
MetsFan09 said:
If that's correct it wouldn't it be choice E then?

external energy + potential energy1 + kinetic energy 1 = potential energy 2 + kinetic energy 2(-f*h) + m*g*h + 0 = 0 + kinetic energy2

(-f*h) + m*g*h = kinetic energy2

the 1 represent the ball at the starting position ( at h height) and 2 represents when it hits the floor(at h = 0)

EEEEEEEEEEEEE
 
  • #5
MetsFan09 said:
If that's correct it wouldn't it be choice E then?

Yep. E is the correct answer.
 

What is Kinetic Energy?

Kinetic energy is the energy an object possesses due to its motion. It is dependent on the mass and velocity of the object.

How is Kinetic Energy calculated?

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

What are the units of Kinetic Energy?

The units of Kinetic Energy are Joules (J) in the International System of Units (SI). In other systems, it can be expressed in foot-pounds (ft-lb) or calories (cal).

What is the relationship between Kinetic Energy and potential energy?

Kinetic energy and potential energy are two forms of energy that can be converted into each other. Kinetic energy is the energy of motion, while potential energy is the energy an object possesses due to its position or state. The sum of kinetic and potential energy is always constant.

How does Kinetic Energy affect an object's motion?

Kinetic energy is directly proportional to an object's velocity. This means that an increase in kinetic energy will result in an increase in velocity, and vice versa. Kinetic energy also affects an object's ability to overcome external forces and maintain its motion.

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