Concept explainers
Austin’s truck has a mass of 2000 kg. When traveling at 22.0 m/s, it brakes to a stop in 4.0 s. Show that the magnitude of the braking force acting on the truck is 11,000 N.
To show: Magnitude of braking force acting on truck is 11000 N.
Explanation of Solution
Given:
Mass of truck,
Time,
Initial velocity,
Final velocity,
Formula Used:
From the equation of motion
Where,
And from Newton’s second law, the net force is given as
Where,
Calculation:
On substituting the given values,
As acceleration is negative, it means it is deceleration which is 5.4 m/s2
So, magnitude of acceleration is 5.4 m/s2
Now, the magnitude of breaking force is
Conclusion:
Therefore, it is proved that the magnitude of braking force acting on the truck is 11000 N.
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Conceptual Physics: The High School Physics Program
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