Momentum and Impulse: Dropping an Object

In summary, the conversation discusses an egg drop apparatus with a mass of 2kg that falls through 5m and has its momentum changed to zero in 0.25s. The equation Force * time = Mass *(change of velocity) is used to calculate the average force of impact. When considering a bouncing object, it would require a larger, smaller, or the same force depending on the change in velocity.
  • #1
Judah
5
0
1. A 2 kilogram egg drop apparatus began at rest and fell through approximately 5-m. Assume that it’s momentum was changed to zero in a time of 0.25-s.
--What force stopped your apparatus?
---Mass=2kg
---Distance=-5m
---Time=.25-s

2.-Force(Time)=Mass(Velocity)

3.Velocity final for the apparatus would be the square root of 2(-9.8)(-5). About 9.99m/s.
Do i just plug in that for the equation above?
 
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  • #2
Judah said:
2.-Force(Time)=Mass(Velocity)

3.Velocity final for the apparatus would be the square root of 2(-9.8)(-5). About 9.99m/s.
Do i just plug in that for the equation above?

Equation 2 should be written as Force * time = Mass *(change of velocity)
Yes, you nee only plug in the data to get the average force of impact.

ehild
 
  • #3
Thanks I got the answer for that. Can you answer another question?
If the object were to bounce would it require a larger, smaller, or the same force?
 
  • #4
What is the change of the velocity if the object bounces?

ehild
 
  • #5


Yes, you can plug in the final velocity of 9.99 m/s into the equation Force(Time) = Mass(Velocity) to calculate the force that stopped the apparatus. The force can be calculated by multiplying the mass of 2 kg with the velocity of 9.99 m/s, which gives a force of 19.98 N. This force is the impulse applied to the apparatus, which caused it to change its momentum to zero in 0.25 seconds. Therefore, the force that stopped the apparatus was 19.98 N.
 

1. What is momentum?

Momentum is a measure of an object's motion and is defined as the product of its mass and velocity. It is a vector quantity, meaning it has both magnitude and direction.

2. How is momentum calculated?

Momentum is calculated by multiplying an object's mass (m) by its velocity (v): p = mv. The standard unit of momentum is kilogram-meter per second (kg⋅m/s).

3. What is the law of conservation of momentum?

The law of conservation of momentum states that in a closed system, the total momentum remains constant before and after any interaction or collision. This means that the total momentum of all objects involved in a system remains the same, regardless of any external forces acting on them.

4. How does dropping an object affect its momentum?

When an object is dropped, its momentum changes from zero to a non-zero value as it gains velocity due to the force of gravity. The change in momentum is equal to the product of the object's mass and the acceleration due to gravity (9.8 m/s²).

5. What is impulse?

Impulse is the change in an object's momentum over a period of time. It is equal to the force applied to the object multiplied by the time interval over which the force is applied. Mathematically, impulse can be represented as J = FΔt.

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