A 1600 kg car moving at 22 m/s is in a wreck with a 2900 truck moving at 32 m/s in the opposite direction. Which exerts a greater magnitude of force on the other?
Google Newton's THIRD LAW !!!!!!
To determine which vehicle exerts a greater magnitude of force on the other, we can use the principle of conservation of momentum.
The momentum of an object can be calculated using the formula:
momentum = mass × velocity
For the car, the momentum is calculated as:
momentum of the car = mass of the car × velocity of the car
momentum of the car = 1600 kg × 22 m/s
momentum of the car = 35200 kg·m/s
For the truck, the momentum is calculated as:
momentum of the truck = mass of the truck × velocity of the truck
momentum of the truck = 2900 kg × (-32 m/s) [negative due to opposite direction]
momentum of the truck = -92800 kg·m/s
Now, since momentum is conserved in a collision (assuming no external forces), the total momentum before the collision is equal to the total momentum after the collision.
Total momentum before the collision = momentum of the car + momentum of the truck
Total momentum before the collision = 35200 kg·m/s + (-92800 kg·m/s)
Total momentum before the collision = -57600 kg·m/s
If the collision causes the vehicles to come to a complete stop, then the total momentum after the collision is zero. Hence,
Total momentum after the collision = 0 kg·m/s
Now, let's consider the forces exerted on each other during the collision. Force can be calculated using the formula:
force = change in momentum / time
Since the time of collision is not given, we cannot determine the exact forces exerted. However, we can compare the magnitudes of the forces based on the magnitudes of the momentum changes.
The change in momentum for the car is:
change in momentum of the car = momentum of the car - total momentum after the collision
change in momentum of the car = 35200 kg·m/s - 0 kg·m/s
change in momentum of the car = 35200 kg·m/s
The change in momentum for the truck is:
change in momentum of the truck = momentum of the truck - total momentum after the collision
change in momentum of the truck = -92800 kg·m/s - 0 kg·m/s
change in momentum of the truck = -92800 kg·m/s
Comparing the magnitudes of the momentum changes, we find that:
|change in momentum of the car| = |35200 kg·m/s| = 35200 kg·m/s
|change in momentum of the truck| = |-92800 kg·m/s| = 92800 kg·m/s
Therefore, the truck exerts a greater magnitude of force on the car.