A train of mass 1000kg is moving with speed of 24m/s find force required to stop it in 2 minute
Question
A train of mass 1000kg is moving with speed of 24m/s find force required to stop it in 2 minute
Solution
Sure, let's solve this step by step:
Step 1: First, we need to convert the time from minutes to seconds because the standard unit of time in physics is seconds. So, 2 minutes = 2 * 60 = 120 seconds.
Step 2: Next, we need to find the acceleration of the train. Acceleration is the rate of change of velocity. Here, the train is coming to a stop, so its final velocity is 0. The initial velocity is given as 24 m/s. So, the change in velocity = final velocity - initial velocity = 0 - 24 = -24 m/s.
Step 3: Now, we can find the acceleration by dividing the change in velocity by the time. So, acceleration = change in velocity / time = -24 m/s / 120 s = -0.2 m/s². The negative sign indicates that this is a deceleration, i.e., the train is slowing down.
Step 4: Finally, we can find the force using Newton's second law, which states that force = mass * acceleration. So, force = 1000 kg * -0.2 m/s² = -200 N. The negative sign indicates that the force is acting in the opposite direction to the motion of the train, which makes sense because the force is acting to stop the train.
So, the force required to stop the train in 2 minutes is 200 N.
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