(2 points) A truck with a mass of 1800 kg traveling 32 miles per hour collides w
ID: 2041271 • Letter: #
Question
(2 points) A truck with a mass of 1800 kg traveling 32 miles per hour collides with a car (mass = 1100 kg) sitting at a stop sign. The two lock together and both cars slide into the intersection. Both drivers slam on the brakes in desperation. The coefficient of friction between the tires and the road is 0.58. 2. a. What is the momentum of each car before the collision b. What is their combined momentum after the collisi 1? Justify your c. How fast are they travelling together after the collision? d. We assume this is an inelastic collision, since they are stuck together e. (0.5 BONUS point) How far do the two cars slide into the answer PROVE it is an inelastic collision, using energy intersection?Explanation / Answer
32 miles per hour=14.3053 m/s
a) momentum before the collision
truck = 1800 (14.3053)=25749.54 kgm/s
car = 0
b) combined momnetum= 25749.54 kgm/s --------momnetum is conserved
c) 25749.54 kgm/s = ( 1800 + 1100)v
v= 8.879 m/s
d) KE before collsion = 1/2 ( 1800) 14.3053 ^2= 184177.447 J
KE after collison = 1/2 ( 2900) 8.879^2= 114313.129 J
KE before collision is not equalt to KE after collison
e) retardation = 0.58 (9,8) = 5.684 m/s^2
8.879^2 m/s / 2 ( 5.684) = s
s = 6.935 m apprx
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