Ball drop homework physics,

For a head-on collision between two objects, the algebraic representation is: So imagine what the ball drop looks like from the point of view of an ant riding along on the basketball figure 2. As the ball falls, its speed increases. Here are some examples from previous semesters:

In other words, the ball is accelerating the entire time it is in the air, both on the way up, at the instant it stops at its highest point, and on the way down.

Objects Launched Upward Examining the motion of an object launched vertically upward is done in much the same way you examined the motion of an object falling from rest. Drop the object at least five times and then analyze the best take.

The basketball weighs 13 times more than the golf ball 1so the inertia of the golf ball is small compared to the inertia of the basketball. Consequently, the basketball doesn't recoil very fast as a result of the collision, and the golf ball recoils quite a lot.

Expert Answer

The attached spreadsheet link at top supplies velocity calculations according to equations 3 and 4 for stacks of teach creative writing abroad, 3, 4, and 5 balls.

As the ball rises, its velocity decreases until it reaches its maximum height, where it stops, and then begins to fall. We know that if the basketball is stationary, the golf ball just reverses direction at the same speed. Finally, upload that image to your blog into a post called "Tracker Video Analysis of Falling".

The time an object takes to reach its highest point is equal to aqa gcse geography coursework mark scheme time it takes to return to the same vertical position. Start by general ielts essay types a copy of the program from the Tracker website: An instant later, the basketball and golf ball will meet in a head-on collision, with the same incoming speeds.

Run the Tracker program on your computer and import the video clip of the falling object. Put another way, the time to go up is equal to the time to go down, and the initial velocity up is equal to the final velocity down assuming the object begins and ends at the same height above ground. Since gravitational potential energy is proportional to height, the maximum height of the golf ball should be about nine times the height from which it was originally dropped.

Total kinetic energy is the same before and after the collision as long case study meaning in tagalog energy is not dissipated in other forms.

  • The golf ball and basketball approach, each at speed v, before the collision.
  • Assume here that we use a two-ball stack, with a golf ball directly above a basketball.
  • If you want to simplify the problem, vertically, at its highest point, the vertical velocity is 0.

Make sure that the object is clearly visible as it falls; avoid cluttered backgrounds that make it hard to see the object when there's motion blur. However, the amount of energy lost is not very a large fraction of the total energy, and it is is reasonable to treat the kinetic energy as approximately conserved.

After the collision, the basketball speed is hardly changed, but the golf ball reverses at speed almost 3v.

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Your screen should look something like this: At its maximum height, the speed of the ball is: Do not rotate the camera from landscape to portrait i. The logic follows from the Galilean transformation: The golf ball, on the other hand, completely reverses direction.

Basketball and golf ball collision from the point of view of the ground. When a golf ball collides with a basketball, the golf ball recoils at high speed in part because of the big difference in mass between the two balls. In similar fashion, the initial velocity of the ball on the way up will equal the velocity of the ball at the instant it reaches the point from which it was launched on the way down.

Ball Drop Problem

Do you see a pattern? In real life, deformations in the balls during the collision cause some energy to be lost in heat, and the factor is noticably lower, depending mostly on how well the basketball is inflated.

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Right click on the video to zoom in or out. Once this positive reference direction has been established, all other velocities and displacements are assigned accordingly.

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One ball would have to be infinitely heavier than the other ball, and the collision would need to transfer energy without any losses whatsoever. When a light object meets remembering an event essay outline heavy object, the heavy object hardly changes velocity. It's moving upward with about the same speed that the golf ball is moving down.

A ball thrown vertically upward reaches a maximum height of 30 meters above the surface of Earth. The entire time the ball is in the air, its acceleration is 9. Use good lighting and keep the camera fixed and steady set it on a table if you don't have a tripod.

Change the masses of the balls to calculate the best result for your own ball stack. The instantaneous speed of any projectile at its maximum height is zero. Using equations 1 and 2' together, we can solve for the final velocities in terms of the masses and the initial velocities.

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The higher the frame rate the easier it will be for you to analyze the video in Tracker. Note that the acceleration can be either 9. Therefore, at maximum altitude the velocity of the ball must be zero. With three balls it's possible to do better. The golf ball and basketball approach, each at speed v, before the collision.

If she was in the air for 0. In a head-on collision between two objects, conservation of kinetic energy gives us: Both balls will accelarate the same at 9.

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Consider the ball being thrown vertically into the air as shown in the diagram. The program will mark that position and advance one frame.

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A basketball player jumped straight up to grab a rebound. Continue holding down the shift and marking the position of the object until it hits the ground which should be after 15 to 20 frames if your camera's frame rate is 30 fps.

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Vertical Problem: When you throw a golf ball straight at a brick wall, the brick wall does not move appreciably. At its highest point, the ball will have a positive displacement, and will have a zero displacement when it returns to its starting point. For a golf ball on top of a basketball, the speed increase is a factor of 2.

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Assume here that we use a two-ball stack, with a golf ball directly above a basketball. This added information can assist you in filling out your vertical motion table. The speed with which the projectile begins its journey upward is equal to the speed of the projectile when it returns to the same height although, of course, its velocity is in the opposite direction.

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In this case, the basketball is not stationary when it meets the golf ball. As soon as the basketball hits the ground, it will reverse direction since the ground has a lot more inertia than the basketball and head back up with almost the same speed it had right before the collision with the ground.

For a head-on collision between two objects, the algebraic representation is: If you want to simplify the problem, vertically, at its highest point, the vertical velocity is 0.

The major difference is that you have to look at two segments of its motion instead of one: To a good approximation, momentum is conserved during the collision. The light object recoils much quicker.

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In this case, a maximum factor 3. Using this approach, we can calculate the recoil velocities for objects of any mass, not just very heavy objects colliding with very light objects.

To understand the final speed of the golf ball in this situation requires just a little imagination. The recoil speed of the golf ball should be about 3 times as fast as its incoming speed assuming little energy is lost during the collision.

Before you get into establishing a frame of reference and working through the quantitative analysis, you must build a solid conceptual understanding of what is happening while the ball is in the air. Go to the first frame in your clip that you want to analyze, hold down the shift key to change the cursor into cross-hairs, then click on the center of your object.

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The sign of the acceleration depends on the direction you declared as positive, but in all cases the direction of the rn cover letter resume due to gravity is down, toward the center of the Earth. Since kinetic energy is proportional to the speed squared, the recoil kinetic energy is nine times as big as the incoming energy.

The same is true when a golf ball has a head-on collision with a stationary basketball. However, during the very brief time that the balls are in collision, gravity does not alter the motion of the balls appreciably, and we can ignore the effects of gravity during that time. Also upload your original reference video with all of your takes.

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As the ball falls, its speed increases. With a four ball stack in which each ball is much lighter than the one below, the theoretical maximum is a factor 15 increase in speed.

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You may need to convert your clip into a format that Tracker can import either MOV or AVIif it's not already in that format this is unlikely. So imagine what the ball drop looks like from the point of view of an ant riding along on the basketball figure 2.