Newton's Laws | Summary and Q&A

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February 8, 2008
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Khan Academy
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Newton's Laws

TL;DR

A train with a mass of 6.84 x 10^6 kg and an initial velocity of 80 km/h is decelerated using brakes with a force of 1.93 x 10^6 N for 25 seconds, resulting in a new velocity and distance traveled.

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Key Insights

  • ☺️ Newton's second law, Force = Mass x Acceleration, is applied to calculate the deceleration of the train.
  • πŸ’† The brake force, mass of the train, and time are used to determine the change in velocity.
  • πŸ€’ The change in velocity is converted from meters per second to kilometers per hour.
  • πŸ—ΊοΈ The average velocity and time are used to calculate the distance traveled by the train while braking.

Transcript

Let's do some more problems involving Newton's laws. OK, so this problem that I am picking from-- I think it's from Oregon University. It's zebu.uoregan.edu. I want to give them credit for their problem. Let's see, let me draw-- this is going to be the ground. And then the problem says that I have a train-- so this is a train. Try my best to draw a... Read More

Questions & Answers

Q: What is the new speed of the train after the brakes are applied for 25 seconds?

To determine the new speed, we calculate the deceleration using the force and mass of the train, and then find the change in velocity. The new speed is calculated to be 55 km/h.

Q: How far does the train travel while braking?

The distance traveled while braking can be calculated by finding the average velocity and multiplying it by the braking time. In this case, the train travels approximately 468.75 meters.

Q: How is acceleration related to force and mass?

According to Newton's second law of motion, the force exerted on an object is equal to the mass of the object multiplied by its acceleration. In this problem, the backward force from the brakes is used to calculate the deceleration of the train.

Q: Why is the acceleration in the opposite direction of the force?

Since the force applied by the brakes is in the opposite direction of the train's velocity, the resulting acceleration will also be in the opposite direction. This negative acceleration causes the train to slow down.

Summary & Key Takeaways

  • A train with a mass of 6.84 x 10^6 kg is moving at an initial velocity of 80 km/h.

  • Brakes are applied with a force of 1.93 x 10^6 N for 25 seconds.

  • The new speed of the train is determined to be 55 km/h, and the distance traveled during braking is 468.75 meters.

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