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Q: What are equations for velocity when given force and mass?

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You cannot. Force = Mass*Acceleration or Mass*Rate of change of Velocity.

Force equals the mass times the rate of change of the velocity.

There is not enough information. Force = Mass*Acceleration. Acceleration is the rate of change in velocity. This requires information on change in velocity as well as the time over which the change took place. There is no information at all on the latter.

Force = m a [ie mass x acceleration ]If the mass is not given it cannot be calculated.

Force equals mass times acceleration.

Force = Mass * Acceleration (F = m * a)Therefore, if the mass of an object is increased, then the force required to accelerate to a given velocity will be greater. If the mass is decreased, then the force required to accelerate that object to a given velocity will become smaller.

If you have the mass, you can find the acceleration from Newton's Second Law, a=F/m where a is the acceleration, m is the mass, and F is the force. Then the velocity is given by the standard formula v=vo+at where v is the final velocity, vo the velocity at t=0, probably 0 in your case. If so v=at.

Force = mass x acceleration Momentum = mass x velocity

The slope of velocity is the acceleration of the object and indirectly the force of the object given the its mass.

That's a very, very unclear question, open to many, many different interpretations the way it's written. If mass and force are given, then velocity is a result of those. It's constantly changing, and it can't also be given. Exactly what is sought ? Is it the time at which the force first began ? The time at which it was removed ? The total time period during which it continued ? Th etime after which a certain speed was reached ? Also, the question asks for the "equations" ... plural. Why is there more than one equation for "time" ? The question needs to be much better presented.

To get the potential energy when only the mass and velocity time has been given, simply multiply mass and the velocity time given.

A Rocket has a LOT of MASS. Its initial Velocity is ZERO and its final velocity must be approximately 25,000 MPH to get into Orbit. That takes a LOT of Acceleration! FORCE = MASS x ACCELERATION FORCE = 1/2 MASS x V2 (the 2 means squared) Looking at these equations you can see that requiring a High amount of Acceleration, and a LARGE terminal Velocity acting on a HUGE Mass, will require a "lot of FORCE". It is simple Arithmetic!

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