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Answer :
Final answer:
The braking force applied by the brakes is -11543.5 N.
Explanation:
To calculate the braking force, we can use the formula:
F = m*a
Where F is the force, m is the mass, and a is the acceleration. Since the bus is brought to a stop, its final velocity is 0, so the acceleration can be calculated using the equation:
[tex]a = (v^2 - u^2) / (2s)[/tex]
Where v is the final velocity, u is the initial velocity, and s is the distance traveled.
Plugging in the given values:
[tex]a = (0 - (85 * (1000/3600)))^2 / (2 * 135)[/tex]
Simplifying the equation gives us:
[tex]a = -5.13 m/s^2[/tex]
Now we can calculate the force:
F = 2250 * -5.13
F = -11543.5 N
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Final answer:
To calculate the braking force applied by the brakes, you can use the formula: force = mass × acceleration. First, find the deceleration using the equation final velocity² = initial velocity² + 2 × acceleration × distance.
Explanation:
To calculate the braking force applied by the brakes, we can use the formula: force = mass × acceleration. First, we need to find the deceleration experienced by the bus. We can use the equation: final velocity² = initial velocity² + 2 × acceleration × distance. Rearranging this equation, we get: acceleration = (final velocity² - initial velocity²) ÷ (2 × distance). Plugging in the given values, we have: acceleration = (0 - (85 km/hr)²) ÷ (2 × 135 m). After converting the given values to the correct units, we can calculate the acceleration. Once we have the acceleration, we can use the formula mentioned earlier to calculate the braking force by multiplying the mass of the bus by the acceleration.
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