Question

Prove that Delta p/delta t=ma

Answer 1

This Force equation, F = M⋅ΔV/ΔT, computes force (F) based on the mass (M) and the change in velocity (ΔV) and time (ΔT).  

INSTRUCTION: Choose your preferred units (e.g. kilogram,meters per second and seconds) and enter the following:

(M) This is the mass of the object.(ΔV) This is the change in velocity of the object over the time period ΔT.(ΔT)  This is the change in time.

Force (F):  The calculator will compute the force (F)  in Newtons.  However, this can be automatically converted to other force units (e.g. pounds force) via the pull-down menu.

This may help you

Answer 2

Del( P ) / Del ( t ) --- ( i )

= Rate of change of momentum

P = momentum = mass × velocity = m × v
=> p = mv putting in eq. ( i ) we get ,

Del ( mv ) / Del ( t )
= m Del ( v ) / Del ( t ) as mass is constant here
= m ×{ Del ( v ) / Del ( t ) }
= m × Rate of change of velocity
= m × acceleration
= m × a = ma