Dynamics of Rigid Bodies and Free Fall Examples
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Questions and Answers

What is the time taken to slide down the ways of a ship that is 900m long, given it takes 4 seconds to slide the first meter?

  • 2 min (correct)
  • 5 min
  • 3 min
  • 1 min

If a driver travels at 50mph and begins to brake with a deceleration of 6m/s², what distance does the car cover during the driver's perception time of 3 seconds?

  • 35.5m
  • 150.0m
  • 65.0m
  • 120.74m (correct)

What is the maximum height above the ground that a ball reaches when thrown straight up at 10m/s from a height of 2m?

  • 5.1m
  • 10.5m
  • 7.1m (correct)
  • 9.0m

How long does it take for a ball thrown straight up at 10m/s to hit the ground if it starts from a height of 2m?

<p>2.22 sec (A)</p> Signup and view all the answers

During freefall, what determines the maximum speed an object can reach before colliding with the ground?

<p>Both air resistance and initial speed (C)</p> Signup and view all the answers

If a vehicle is decelerating at 6m/s², how long will it take to come to a stop from a speed of 50mph?

<p>5 sec (D)</p> Signup and view all the answers

What is the magnitude of the velocity just before a ball hits the ground after being thrown up at 10m/s?

<p>11.8 m/s (A)</p> Signup and view all the answers

What factors can affect the speed of an object in free fall?

<p>Air resistance and initial speed (B)</p> Signup and view all the answers

Study Notes

Dynamics of Rigid Bodies

  • A ship slides down a ramp with constant acceleration.
  • The ship takes 4 seconds to slide the first meter.
  • The length of the ramp is 900 meters.
  • It takes 2 minutes for the ship to slide the entire length of the ramp.

Free Falling Body

  • Freefall is a common phenomenon where an object falls under gravity.
  • The object's speed increases as it falls.
  • Many factors, such as air resistance, can affect the speed of the object.

Example of Freefall

  • A ball is thrown straight up at a speed of 10m/s.
  • The ball is released 2 meters above the ground.
  • The maximum height reached by the ball is 7.1 meters.
  • The ball hits the ground 2.22 seconds after being released.
  • The ball's velocity just before hitting the ground is 11.8m/s.

Another Example

  • A car traveling at 50mph sees a wall.
  • The driver takes 3 seconds to react (perception time).
  • The car then brakes at a rate of 6m/sec².
  • The distance from the stopping point to the wall is 12m.
  • The car was 120.74 meters away from the wall when the driver first perceived it.

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Description

Explore the principles of dynamics concerning rigid bodies and the laws governing free fall. This quiz covers scenarios involving a ship sliding down a ramp and various examples of free fall, including the motion of a ball and a car's stopping distance. Test your understanding of acceleration, gravity, and kinematic equations.

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