Calculating Average Force Due to Air Resistance in Projectile Motion

In summary, the projectile has a mass of .750kg and is shot straight up with an initial velocity of 18.0m/s. It reaches a maximum height of 11.8m. To determine the magnitude of the average force due to air resistance, we need to calculate the energy lost due to air resistance, which is equal to the work done by the air. This can be done by calculating the initial kinetic energy and final potential energy, and then subtracting them to find the wasted energy. Drawing pictures and listing knowns/unknowns can also be helpful in solving this problem.
  • #1
dbtarz
3
0
A projectile has a mass of .750kg and is shot straight up with an initial velocity of 18.0m/s. If the projectile rises to a max height of 11.8m, determine the magnitude of the average force due to air resistance. Can anyone help me with this?
 
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  • #2
The energy lost due to air resistance equals the work done by the air.
 
  • #3
I don't understand?
 
  • #4
Suppose there is no air resistance. Can you calculate how high the projectile would go?

Given that, can you calculate the energy that is lost due to air resistance?
 
  • #5
Drawing pictures and listing knowns/unknowns is great help. You know the mass, the height/displacement, and the velocity. These give you the initial kinetic energy and the final potential energy, and the initial energy is always equal to the final energy plus the work done by friction/air resistance/etc (the wasted energy).

It is all pretty straight-forward. ^^
 

1. What is mechanical energy?

Mechanical energy is the energy possessed by an object due to its motion or position. It is the sum of an object's kinetic energy (energy of motion) and potential energy (energy of position).

2. How is mechanical energy calculated?

Mechanical energy can be calculated by adding the kinetic energy and potential energy of an object. Kinetic energy is calculated as 1/2 x mass x velocity squared, while potential energy is calculated as mass x gravitational acceleration x height.

3. What is the law of conservation of mechanical energy?

The law of conservation of mechanical energy states that the total amount of mechanical energy in a closed system remains constant. In other words, mechanical energy can neither be created nor destroyed, only transferred from one form to another.

4. What are some examples of mechanical energy?

Examples of mechanical energy include a swinging pendulum, a rolling ball, a moving car, and a person jumping on a trampoline. Any object that is in motion or has the potential to move can be said to possess mechanical energy.

5. How is mechanical energy used in everyday life?

Mechanical energy is used in many everyday activities, such as riding a bike, using a manual can opener, and playing sports. It is also harnessed in machines, such as cars, trains, and elevators, to make our lives easier and more efficient.

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