Question

In: Physics

twoautomobiles of 840 kg and 1050 kg collide head on while moving at60 km/hr...

two automobiles of 840 kg and 1050 kg collide head on while moving at 60 km/hr in opposite directions. after they collision the automobiles remain locked together. find the velocity of the wreck immediately after the collision. also, find the kinetic energy of the two-car system before and after the collision

Solutions

Expert Solution

A)

Using law of conservation of momentum,

m1 v1 + m2 v2 = (m1 + m2) v

(840 x 60) - (1050 x 60) = (840 + 1050) v

V = 6.67 m/s (along 1050 kg car Direction)

B)

Initial KE = (0.5 x 840 x 60^2) + (0.5 x 1050 x 60^2) = 3402000 J

Final KE = 0.5 x (840 + 1050) x 6.67^2 = 42042.01 J


Related Solutions

A 1,000-kg car moving east at 90 km/h collides head-on with a 1,500-kg car moving west...
A 1,000-kg car moving east at 90 km/h collides head-on with a 1,500-kg car moving west at 50 km/h, and the two cars stick together. (a) Which way does the wreckage move and with what initial speed? (b) How much KE is lost in the collision?
Object A is moving due east, while object B is moving due north. They collide and...
Object A is moving due east, while object B is moving due north. They collide and stick together in a completely inelastic collision. Momentum is conserved. Object A has a mass of mA = 16.4 kg and an initial velocity of = 8.40 m/s, due east. Object B, however, has a mass of mB = 28.2 kg and an initial velocity of = 5.43 m/s, due north. Find the (a) magnitude and (b) direction of the total momentum of the...
Object A is moving due east, while object B is moving due north. They collide and...
Object A is moving due east, while object B is moving due north. They collide and stick together in a completely inelastic collision. Momentum is conserved. Object A has a mass of mA = 17.0 kg and an initial velocity of v0A = 8.10 m/s, due east. Object B, however, has a mass of mB = 29.0 kg and an initial velocity of v0B = 5.20 m/s, due north. Find the magnitude of the final velocity of the two-object system...
Two balls of clay collide in a perfectly inelastic, head-on collision. Suppose m1 = 0.5 kg,...
Two balls of clay collide in a perfectly inelastic, head-on collision. Suppose m1 = 0.5 kg, m2 = 0.25 kg, v1o = +4 m/s, and v2o = -3 m/s. (a) Find the velocity of the combined clay ball after the collision. (b) Find the kinetic energy lost during the collision.
Exercise 8.36 A 1050 kg sports car is moving westbound at 13.0 m/son a level road...
Exercise 8.36 A 1050 kg sports car is moving westbound at 13.0 m/son a level road when it collides with a 6320 kg truck driving east on the same road at 12.0 m/s . The two vehicles remain locked together after the collision. Part A What is the velocity (magnitude) of the two vehicles just after the collision? v = 8.44   m/s   SubmitMy AnswersGive Up Correct Part B What is the direction of the velocity of the two vehicles just...
A 2 kg ball moving W at 5 m/s collides head on with a 1.5 kg...
A 2 kg ball moving W at 5 m/s collides head on with a 1.5 kg ball moving E at 8 m/s. Ifthe collision is elastic, compute the velocity of each ball after the collision.
A 3000 kg minivan moving east at velocity 45 km/h collides with a 1000 kg car...
A 3000 kg minivan moving east at velocity 45 km/h collides with a 1000 kg car moving north at velocity 55 km/h. The two cars lock together, find their velocity in km/h just after the accident.
A meteor with a mass of 1 kg moving at 20 km/s collides with Jupiter's atmosphere....
A meteor with a mass of 1 kg moving at 20 km/s collides with Jupiter's atmosphere. The meteor penetrates 100 km into the atmosphere and disintegrates. What is the average force on the meteor once it enters Jupiter's atmosphere (Ignore gravity). *The answer is 2 x 10^3 N but I have no idea why.
3. Two ice skaters collide on the ice. A 39.6-kg skater moving South at 6.21 m/s...
3. Two ice skaters collide on the ice. A 39.6-kg skater moving South at 6.21 m/s collides with a 52.1-kg skater moving East at 4.33 m/s. The two skaters entangle and move together across the ice. Determine the magnitude and direction of their post-collision velocity (answer: 3.64 m/s at 42.5 degrees) Please provide a detailed diagram
A 1.2 kg ball moving with a velocity of 8.0 m/s collides head-on with a stationary...
A 1.2 kg ball moving with a velocity of 8.0 m/s collides head-on with a stationary ball and bounces back at a velocity of 4.0 m/s. If the collision is perfectly elastic, calculate (a) the mass of the other ball, (b) the velocity of the other ball after the collision, (c) the momentum of each ball before and after the collision, and (d) the kinetic energy of each ball before and after the collision.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT