A car mass is 1600kg is accelerated to 30m/s from start in 20 seconds. Calculate the a. Initial momentum. b. Final momentum. c. Rate of change of momentum. d. Acceleration of the car. e. Magnitude of the force applied.
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Here, mass(m)= 1600 Kg
Initial velo.( u)=0
Final velo.(v)=30m/s
Time(t)=20 s
Now,(1), initial momentum(Pi)= m*u
= 1600*0= 0
(2)Final momentum(Pf)= m*v=1600*30=48000Kgm/s
(3)Rate of change of momentum(dP),
=d(Pf-Pi)/dt
=(48000-0)/20=2400Kgm/s
(4) Acceleration of the car(a),
a=(v-u)/t=30-0/20=1.5m/s^2
(5)Magnitude of force applied
F= ma=1600*1.5=2400N
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