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Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1400 kg and is approaching at 6.5 m/s due
Question
Two cars collide at an icy intersection and stick together afterward. The first car has a mass of 1400 kg and is approaching at 6.5 m/s due south. The second car has a mass of 550 kg and is approaching at 19.5 m/s due west What is the change in kinetic energy, in joules, for the collision
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Physics
5 years
2021-07-22T22:23:01+00:00
2021-07-22T22:23:01+00:00 1 Answers
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Answers ( )
Answer:
74,993.75Joules
Explanation:
Kinetic energy is defined as the energy possessed by a body by virtue of its motion. It is expressed mathematically as:
Kinetic energy = 1/2MV²
where:
M is the mass of the body
V is the velocity of the body
For the first car:
Mass = 1400kg
Velocity = 6.5m/s
Kinetic energy of the car = 1/2×1400×6.5²
= 700×6.5²
KE1 = 29,575Joules
For the second car:
Mass = 550kg
Velocity = 19.5m/s
K.E2 = 1/2×550×19.5²
K.E2 = 275×19.5²
K.E2 = 104,568.75Joules
Change in kinetic energy
KE2-KE1
= 104,568.75 – 29,575
= 74,993.75Joules