how do you calculate the amount of force needed to move something to a certin speed?

Question

example, a 1 gram projectile to 5000 fps

Answer 1

A) dont mix metric and standard measurements.1524 meters=5000

So, you want to accelerate a 1 gram (.01kg) projectile to 1524 m/s

a=v1-v2/t
where:
v1 is the initial velocity (aka 0)
v2 is the desired velocity (1524 m/s)
you can interchange v1 and v2 so you can get a positive a
t= the time you are accelerating it for

then you use F=ma to find the force
rearranged it looks like:
F=m(v1-v2/t)
so assuming you want to accelerate a .01kg object to 1524 m/s in 1 s

F=.01(1524-0/1)
F=.01*1524
F=15.24 N (newtons)

There ya go!

Answer 2

Find the acceleration first to move the body from whatever initial speed (assume 0fps) to 5000 fps using the formula accelaration = ( final speed - initial speed ) / time taken. Then multiply the acceleration with the mass of the body, you will get the force needed.

If you are moving the body in a medium such as air, you have to use additional force to counter the resistance of air.

Answer 3

1 g = 0.001 kg

F = m a, where a = dv/dt. Units for m = kg and v = meters/second

Choose a time in seconds for the change in velocity and plug into the equation above.

Answer 4

mass times the accelleration. im presuming ur fps is feet per second???? so 1x5000 = your force (cnt remember the measurement. You may want to convert it into a better measurement though rather than feet per second.

Answer 5

Force = mass x increase of speed / necessary time

Th

Answer 6

Force determines acceleration, not speed.

F = m*a

Answer 7

force=mass * acceleration {f=ma}

force=mass * gravitation * height{f=mgh}