A pyrotechnical expert needs to fire a 15 kg projectile from a launching device that has a barrel length of 2 meters. The projectile will need to be launched horizontally 1 km in 5 seconds. Calculate the force needed to launch the projectile.

The force needed to launch the projectile is 150000 N.

Explanation:  

We can find the force using the following equation:

Where:

m: is the mass = 15 kg

a: is the acceleration

First, we need to find the acceleration of the projectile:

Where:

: is the final speed

: is the initial speed = 0

x: is the distance = 2 m

The final speed is:

Then, the acceleration is:

Finally, the force is:

Therefore, the force needed to launch the projectile is 150000 N.

I hope it helps you!  

find the sum of the two horizontal vectors and the sum of the two vertical vectors

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