Answer :
Final answer:
The force required to bring the car to rest can be calculated using Newton's second law of motion and the kinematic equation. First, convert the speed to m/s, calculate the deceleration needed to stop the car in the given distance, and multiply it by the car's mass to find the force.
Explanation:
The problem you're dealing with is a straightforward application of Newton's second law of motion (F=ma), combined with a kinematic equation to solve for acceleration. First, we need to convert your speed from km/h to m/s. Your speed in m/s is 81 km/h divided by 3.6, which equals to approximately 22.5 m/s.
Now, the next step is to find acceleration using the equation v_f^2 = v_i^2 + 2as where v_f is the final velocity (0 m/s since it comes to rest), v_i is the initial velocity (22.5 m/s), 'a' is the acceleration, and 's' is the distance (103 m). Solving this for 'a', we get acceleration as approximately -2.45 m/s² (negative since it's deceleration).
Finally, we apply Newton's second law: F = ma. Substituting the values, we get force as approximately -2185 N (negative showing the force direction is opposite to motion).
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