Tarun05
Answered

Welcome to Westonci.ca, the ultimate question and answer platform. Get expert answers to your questions quickly and accurately. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

A body of mass 40kg is accelerating at a
rate of 9m/s² . What is the rate of change of linear momentum?

Sagot :

Everest2017
Momentum = mass * velocity :  p = mv
Time Rate of change of linear momentum of an object    Δp / Δt
          = Δ (m v ) / Δt  = m Δv / Δt  = m a
         =  Force acting on the object
         =  40 Kg * 9 m /sec² = 360 Newtons
==================================================
Δ denotes change in a quantity.  Δp = p2 - p1           Δt =  t2 - t1
p2  =  momentum at time t2  and          p1 = momentum at time t1
v2 = velocity at time t2              v1 = velocity at time t1
a = acceleration, constant and  same at t1 and t2
let u = velocity at time t = 0

Time rate of change of moment um is actually =  (p2 - p1) / (t2 - t1)
p2 = m v2            p1 = m v1        So  p2 - p1 = Δp  = m (v2 - v1)

v2 = u + a t2          v1 = u + a t1        so,  v2 - v1 = Δv = a (t2 - t1 )    = a  Δt

So  p2 - p1 = m (v2 - v1 )  = m a ( t2 - t1)
So            ( p2 - p1 )  / (t2 - t1 )  =  Δp / Δt  = m a  = 40 * 9 = 360 Newtons


AL2006
Momentum = (mass) x (speed)

Mass is constant, so the rate of change of momentum is
                        (mass) x (rate of change of speed) .

But (rate of change of speed ) is just acceleration.

So the rate of change of momentum is (mass) x (acceleration).

But (mass) x (acceleration) is Force.

So Force is the rate of change of momentum.    Verrrrrrrry interesting !

In this problem, Force = (40 kg) x (9 m/s²) = 360 newtons.

One 'Newton' is one kilogram-meter per second² .
Unit of momentum is (kilogram)-(meter per second), so 'newton'
is also a unit of time rate of change of momentum.

Rate of change of momentum is 360 momentum units per second.
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.