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Answer :
To determine the braking distance needed to stop a bike, we need to consider the combined mass of the bike and the rider, the applied force by the brakes, and the initial velocity of the bike.
To calculate the braking distance, we can use the equation:
distance =[tex](initial velocity^2) / (2 *[/tex] [tex]acceleration)[/tex]
The acceleration can be found using Newton's second law, which states that force equals mass times acceleration:
force = mass * acceleration
In this case, the force applied by the brakes is given as 125 N. The combined mass of the bike and the rider is 115 kg. Therefore, we can rearrange the equation to solve for acceleration:
acceleration = force/mass
Substituting the values, we have:
acceleration = 125 N / 115 kg
Next, we need to find the initial velocity squared. The initial velocity is given as 7.6 m/s. Hence:
[tex]initial velocity^2 = (7.6 m/s)^2[/tex]
Now we can calculate the braking distance using the formula mentioned earlier:
distance = [tex](7.6 m/s)^2 / (2 * (125 N / 115 kg))[/tex]
Simplifying the equation gives us the braking distance in meters.
Learn more about acceleration here:
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