Look at the equation below. How much force would it take for a 1000 kg car that is travelling at 30 m/s to come to a stop within 3 seconds?
Question
Look at the equation below. How much force would it take for a 1000 kg car that is travelling at 30 m/s to come to a stop within 3 seconds?
Solution
The problem can be solved using Newton's second law of motion, which states that the force acting on an object is equal to its mass times its acceleration (F = ma).
First, we need to find the acceleration of the car. Acceleration is the rate of change of velocity per unit of time. In this case, the car is decelerating from 30 m/s to 0 m/s in 3 seconds. So, the acceleration (a) can be calculated as:
a = (final velocity - initial velocity) / time a = (0 m/s - 30 m/s) / 3 s a = -10 m/s²
The negative sign indicates that this is a deceleration.
Next, we can find the force (F) using the formula F = ma:
F = 1000 kg * -10 m/s² F = -10000 N
The negative sign indicates that the force is acting in the opposite direction to the motion of the car. So, it would take a force of 10000 N to bring the car to a stop within 3 seconds.
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