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Number P6
physics question?
A 1295 kg car traveling initially with a speed of 25.0 m/s in an easterly direction crashes into the rear end of a 9400 kg truck moving in the same direction at 20.0 m/s (Fig. P6.32). The velocity of the car right after the collision is 18.0 m/s to the east.(a) What is the velocity of the truck right after the collision?
m/s (east)
(b) How much mechanical energy is lost in the collision? (Use input values with an adequate number of significant figures to calculate this answer.)
kJ
Account for this loss in energy.
um yes? i am serious
♥ momentum conservation:
m1*u1+m2*u2 = m1*v1 +m2*v2, hence
v2= (m1*u1+m2*u2 – m1*v1)/m2 =
= (1295*25 +9400*20 –1295*18)/9400 =20.96 m/s;
♠ kinetic energy conservation: w1+w2=e1+e2+h,
where w1=0.5m1*u1^2, w2=0.5m2*u2^2 before collision,
where e1=0.5m1*v1^2, e2=0.5m2*v2^2 after collision,
h is lost energy – heat!
♣ thus h=0.5*m1*(u1^2 –v1^2) +0.5m2*(u2^2 –v2^2) =
= 0.5*1295*(25^2 –18^2) +0.5*9400*(20^2 –20.96^2)=
=10086.0 Joule =10.1 kJ;
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