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Q: How do you find height if velocity and mass are given?

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the final velocity assuming that the mass is falling and that air resistance can be ignored but it is acceleration not mass that is important (can be gravity) final velocity is = ( (starting velocity)2 x 2 x acceleration x height )0.5

The formula for finding that out is velocity = distance / mass

What is the initial velocity that must be given to a 1kg mass if it is to move to a height of 20m. what is the total energy?

momentum = mass x velocity => mass = momentum / velocity

You can't. The mass is irrelevant to velocity. You need the distance.

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

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

You can't. Acceleration is change in velocity. If given a constant velocity, the acceleration is zero.

Height isn't related to kinetic energy (it may be related to potential energy). Kinetic energy is related to mass and velocity.

Impluse = m x v

That's not enough information. You need some additional information to calculate the mass.

momentum = mass X velocity

You can't. You also have to know the mass, or have a way to find it.

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.

Momentum alone cannot find the mass of an object as momentum is given by p = mv. To find mass m = p/v , velocity is also required.

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

Force equals mass times acceleration.

Momentum = (mass) x (velocity)Divide each side of the equation by (velocity) :(mass) = Momentum/(velocity)

The mass will be equal to the kinetic energy divided by the velocity squared. m=2(KE)/(v2). This is from the basic equation KE=1/2mv2.

Mass by itself has no effect on velocity. In terminal velocity (velocity of an object falling through a fluid) the mass tovolume ratio (density) can change the final velocity at any given medium density, but in acceleration in a vacuum there is no impact from mass on velocity.

By multiplying the mass times the velocity squared.

Power is equal to Force times velocity; P=Fv. You are given the 'speed', which I assume to be velocity. You also have acceleration. In order to find F, you need first to find the mass, which you can calculate from the weight, Fg, by dividing by the acceleration due to gravity, 9.8. You then have the mass. From here, multiply mass times acceleration times the velocity.

Those are unrelated, so you can't really figure out time, if you know velocity and mass.

You can't, because you don't have enough information. In order to find velocity, you need to be able to find the speed and the direction of motion. You have the speed, but you have no information that you can use to determine the direction in which the object is moving. Mass doesn't help.

Momentum = (mass) x (velocity vector).Given constant velocity, and assuming that mass doesn't change,there is no change in momentum over time.If there is any change in momentum, it can only be due to a change in mass.It would change in direct proportion to the mass, and the direction of themomentum vector would remain constant, in the direction of the velocity.