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Newton wrote that force is equal to the rate of change of momentum. This is

F = dp/dt (1). As momentum, p, is the product of mass, m, and velocity, v,

(1) is equivalent to F = dmv/dt (2). Velocity is the rate of change of position,

and becomes acceleration under differentiation with respect to time. Applying

the product rule to (2) gives F = vdm/dt + mdv/dt. Unless a body's mass is

changing (e.g. ejecting fuel to take off, or moving at relativistic speeds),

dm/dt = 0. So (2) becomes F= mdv/dt. But dv/dt is the acceleration, a.

So we can see that F = ma.

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Q: What is the equation of newton's second law of motion describes the relationship of forces mass and acceleration?
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Related questions

What is the mathematical relationship between force and acceleration?

Force in Newtons = mass in kilograms * acceleration ( can be gravitational acceleration )F = maThe mathematical relationship between force and acceleration is directly proportional.


What is newtons second law equation?

F = ma F stands for force and m the mass and a the acceleration.


How are newtons and grams different?

Newtons are a measurement of force, whereas grams are a measurement of mass. They are related by the equation F = ma, where Force = mass x acceleration.


Explains newton's 2nd mathematically in science terms and by examples?

well i do believe the official equation for calculating the acceleration of an object is acceleration equals the net force (in newtons) divided by the mass (in kilograms). but i like to use the equation mass (in kilograms) = acceleration (in meters/seconds2) x the net force (in newtons). hope this helped :D


Is 40 newtons a unit of acceleration?

No, it is unit of force, which is mass times acceleration


What is related to force?

mass, acceleration, motion - speed and velocity, newtons 1st law force = mass * acceleration speed requires force to change force acts on velocity to change it newtons 1st law describes force


How do you get the acceleration if the force is newtons and the mass is grams?

You need to divide the number of grams by 1000 in order to convert it into kilograms then use the equation F=ma to work out the acceleration.


What is the equation for newtons second law of motion?

F = ma Force is equal to mass times acceleration.


What is the equation for finding the acceleration of an object moveing in a straight line?

From f = m * a, transpose to a = f / m>acceleration ((m/s)/s) = force (newtons) / mass (kilograms)


What equation states newtons 2nd law of motion?

For where F=force, m=mass, and a= acceleration: F=ma


What is Newtons equal to?

Force (newtons) = mass x acceleration


If force of 600 newtons is applied to a mass of 100 kilograms the acceleration is?

Rewrite the equation F = ma to solve for acceleration a = F / m = 600 / 100 = 6 m/s^2