need full answers please In the Figure below, a rod of length 2m has a linear de
ID: 2112128 • Letter: N
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need full answers please
In the Figure below, a rod of length 2m has a linear density (mass per length) given by lambda= 50 + 20X Where x is the distance from one end measured in meters, and lambda is in grams /meter Determine the mass of the rod. How far from x = 0 end is its center of mass? Consider a 1400 kg car, heading north and moving at 35 km/h collides in a perfectly inelastic collision with a 4000 kg bus going East at 20 km/h. What is the speed in km/h and direction of the vehicles just after collision? What percentage of the total mechanical energy is lost from the collision? (use the speed units km/h)Explanation / Answer
3) a)int(lambda*dx)from 0 to 2 = 140 gms
b)centre of gravity = int(lambda*x dx)/M = 1.09
4)momentum in north = 49000
momentum in east = 80000
after collision,both mass move at same velocity
velocity = 49000/(5400) in north, 80000/5400 in east = 9.07 in north, 14.81km/hr in east
total speed = 17.37 Km/hr
b) % energy lost = (0.5*1400*35^2 +0.5*4000*20^2)-(0.5*5400*17.37^2)/((0.5*1400*35^2 +0.5*4000*20^2)) = 0.508
so 50.8%
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