In a head-on, inelastic collision, a 4,000-kg truck going 10 m/s east strikes a 1,000-kg car going 20 m/s west.
(a) What is the speed and direction of the wreckage?
(b) How much kinetic energy was lost in the Collision?
(a)
The speed and direction of the wreckage.
Answer to Problem 3C
The speed of the wreckage is
Explanation of Solution
Given:
Given that in a head-on, inelastic collision, a
Formula used:
According to the law of conservation of momentum, when the two objects collide in an isolated system, the total momentum before and after the collision is same
According to the law of conservation of energy, the total energy of an isolated system remains same. In other words, it means that energy can neither be created nor be destroyed.
Calculation:
We have
Mass of the truck,
Mass of the car,
Initial Speed of the truck,
Initial Speed of the car,
Give that the collision is head-on and inelastic
Thus, the final speed of truck and car will be same
We know that according to the conversation of momentum,
Substituting the values, we get
Conclusion:
Hence, the speed of the wreckage is
(b)
In a head-on, inelastic collision, a
Answer to Problem 3C
The kinetic energy lost in the collision is
Explanation of Solution
Given:
Given that in a head-on, inelastic collision, a
Formula used:
According to the law of conservation of momentum, when the two objects collide in an isolated system, the total momentum before and after the collision is same.
According to the law of conservation of energy, the total energy of an isolated system remains same. In other words, it means that energy can neither be created nor be destroyed.
Kinetic energy is given as
Where,
Calculation:
We have
Mass of the truck,
Mass of the car,
Initial Speed of the truck,
Initial Speed of the car,
Give that the collision is head-on and inelastic
Thus, the final speed of truck and car will be same
The kinetic energy lost in the collision is calculated as
Substituting the values, we get
Conclusion:
Hence, the kinetic energy lost in the collision is
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Chapter 3 Solutions
Inquiry into Physics
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