Finding force without acceleration

In summary, a machine gun is firing 22 g bullets at a constant rate of 40 bullets/s at a velocity of 260 m/s. When the bullets embed themselves in a thick wooden door, the average force exerted on the door is 229N. If the bullets hit a steel door and rebound elastically, the average force exerted on the door will still be 229N, as the mass and final velocity of the bullets do not change. This can be calculated using the equation for impulse, which is defined as the change in momentum.
  • #1
RedDanger
11
0

Homework Statement


A machine gun fires 22 g bullets horizontally at 260 m/s at a constant rate of
40 bullets/s. (a) If the bullets embed themselves in a thick wooden door, what is the average force
exerted on the door? (b) If the bullets hit a steel door and rebound elastically, what is the average
force exerted on the door?


Homework Equations


F = ma
Vf = Vi + at


The Attempt at a Solution



The door shouldn't experience any force at all, because the bullets are not accelerating horizontally. Is this correct?
 
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  • #2
RedDanger said:
The door shouldn't experience any force at all, because the bullets are not accelerating horizontally. Is this correct?
Not at all correct. The bullets are going at some velocity, and then they are stopped by the door right? Thus they have some acceleration.

You should think about this in terms of `impulse' (I)
[tex]
I \equiv \Delta mv = F \Delta t
[/tex]
The impulse, which is defined as a change in momentum, is the force applied times the time over which it is applied.
 
  • #3
Okay, so for the first part I solved for F and got 229N. For the second part, the amount of force exerted on the door should be the same because neither the mass of the bullets nor their final velocity changes due to the type of collision. Is this correct?
 

What is force and how is it related to acceleration?

Force is a physical quantity that describes the strength or magnitude of a push or pull. It is related to acceleration through Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration (F=ma).

Can force be measured without knowing the acceleration?

Yes, force can be measured using other methods such as a spring scale or a force sensor. However, without knowing the acceleration, the force can only be measured in terms of its magnitude and not its direction.

How do you calculate force without acceleration?

To calculate force without acceleration, you can use the formula F=ma and rearrange it to solve for force (F=m/a). This means that force can be calculated by dividing an object's mass by its acceleration.

Can force exist without acceleration?

No, force cannot exist without acceleration. According to Newton's first law of motion, an object will remain at rest or in a constant state of motion unless acted upon by an unbalanced force. This means that in order for a force to be present, there must be some acceleration occurring.

What are some real-life examples of finding force without acceleration?

One example is lifting a heavy object. The force exerted by your muscles to lift the object is equal to the weight of the object (mass) divided by the acceleration due to gravity. Another example is pushing a car. The force you exert to push the car is divided by the car's mass to determine the acceleration of the car.

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