Answer :
Final answer:
The average stopping force exerted by the tree on the car is approximately -160,000 N.
Explanation:
To find the average stopping force exerted by the tree on the car, we can use the equation:
Force = mass × acceleration
First, let's find the acceleration of the car using the equation:
Final velocity² = Initial velocity² + 2 × acceleration × distance
Given: Initial velocity (u) = 20 m/s, Final velocity (v) = 0 m/s, and Distance (s) = 1.5 m
Substituting the values into the equation, we have:
0² = 20² + 2 × acceleration × 1.5
Acceleration = (0 - 400) / (2 × 1.5)
Acceleration = -400 / 3
Now, substituting the mass of the car (m = 1200 kg) and the calculated acceleration (a = -400/3 m/s²) into the force equation, we get:
Force = 1200 kg × (-400/3 m/s²)
Calculating the force, we find:
Force ≈ -160,000 N
The average stopping force exerted by the tree on the car is approximately -160,000 N.
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