Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(b) How much kinetic energy is lost in the collision? (This energy goes into def

ID: 1314865 • Letter: #

Question

(b) How much kinetic energy is lost in the collision? (This energy goes into deformation of the cars.)

(a) Calculate the final velocity of the cars. (Note that since both cars have an initial velocity, you cannot use Equations 7.6a and b. You must look for other simplifying aspects.)

magnitude:

Direction:

Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1700 kg and was approaching at 9.00 m/s due south. The second car has a mass of 850 kg and was approaching at 20.0 m/s due west.

Explanation / Answer

force acting during collision is internal so momentum is conserve so (initial momentum = final momentum) in both directions

Two cars collide at an icy intersection and stick together afterward.

The first car has a mass of 1700 kg and was approaching at 9.00 m/s due south.

The second car has a mass of 850 kg and was approaching at 20.0 m/s due west

. Let Vx is and Vy are final velocities of car in +x and +y direction respectively.

initial momentum in +ve x (east) direction = final momentum in +ve x direction (east) - 750*25 + 1150*0 = (750+1150)Vx

initial momentum in +ve y (north) direction = final momentum in +ve y direction (north) 750*0 - 1150*5 = (750+1150)Vy

from here you can calculate Vx and Vy so final velocity V is

V=(?V2x+V2y)

and angle make from +ve x axis is

?=tan?1(VyVx)

kinetic energy loss in the collision = final KE - initial KE