Avg force on projectile shot from cannon?

In summary, the average force on a projectile shot from a cannon is affected by its mass, velocity, angle and elevation of the cannon, and the force of gravity. It can be calculated using the equation F = m x a, where F is force, m is mass, and a is acceleration. The force also has a direct relationship with the distance traveled, but can be impacted by air resistance and the angle of elevation. Higher angles of elevation can result in a greater force, while lower angles may result in a more accurate shot.
  • #1
IDKPhysics101
31
0
A cannon has a barrel 6.8 m long and fires a 1.2 kg projectile with a muzzle velocity of 88.3 m/s. What is the average force (in N) on the projectile?
 
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  • #2
IDKPhysics101 said:
A cannon has a barrel 6.8 m long and fires a 1.2 kg projectile with a muzzle velocity of 88.3 m/s. What is the average force (in N) on the projectile?

You need to show some attempt before anyone at PF can help you.

Start by considering change in kinetic energy of the projectile.
 
  • #3
F=687.96n
 
  • #4
Yes that is correct.
 
  • #5


The average force on the projectile shot from the cannon can be calculated using the equation F = m x a, where F is the force, m is the mass of the projectile, and a is the acceleration. In this case, the acceleration can be determined using the equation v^2 = u^2 + 2as, where v is the final velocity (muzzle velocity), u is the initial velocity (zero), and s is the distance traveled (length of the barrel).

Substituting the given values, we get:

v^2 = (88.3 m/s)^2 + 2(6.8 m) a

a = (88.3 m/s)^2 / (2 x 6.8 m) = 594.34 m/s^2

Now, we can calculate the average force on the projectile:

F = m x a = (1.2 kg)(594.34 m/s^2) = 713.208 N

Therefore, the average force on the projectile shot from the cannon is approximately 713.208 Newtons. It is important to note that this is the average force, as the actual force acting on the projectile will vary throughout its flight due to factors such as air resistance.
 

1. What factors affect the average force on a projectile shot from a cannon?

The average force on a projectile shot from a cannon is affected by several factors, including the mass and velocity of the projectile, the angle and elevation of the cannon, and the force of gravity.

2. How is the average force on a projectile calculated?

The average force on a projectile can be calculated using the equation F = m x a, where F is force, m is mass, and a is acceleration. In the case of a projectile shot from a cannon, the acceleration is affected by the factors mentioned above.

3. What is the relationship between average force and distance traveled for a projectile shot from a cannon?

The average force on a projectile shot from a cannon is directly related to the distance traveled. As the force increases, the projectile will travel further. However, there are other factors that can also impact the distance traveled, such as air resistance and the angle of elevation.

4. How does air resistance affect the average force on a projectile shot from a cannon?

Air resistance can decrease the average force on a projectile shot from a cannon. As the projectile travels through the air, it encounters resistance from the air molecules, which can slow it down and decrease the overall force acting on it.

5. How does the angle of elevation affect the average force on a projectile shot from a cannon?

The angle of elevation can affect the average force on a projectile shot from a cannon in several ways. A higher angle of elevation can result in a greater force on the projectile, as it will travel a longer distance. However, a lower angle of elevation may result in a more accurate shot, as it reduces the impact of factors such as air resistance and wind on the projectile's trajectory.

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