We will walk through the derivation for the formula predicting where the ball will land in the following experimental set-up: Release Point Launch Point Angle Adjustment Screw Pivot Point Table h2 h1 h3 Plumb Bob Floor Here, we know the geometric parameters, hj, h3, h,, D and L. A ball is released from rest at the top of track and we want to know how far it travels. (a) Calculate the speed at the launch point using conservation of energy. Your answer should be expressed in terms of h, and hz. (b) The problem now turns into a projectile motion problem with initial speed vo. It is being launched at an angle 0. Can you tell me what sin 0 and cos 0 are in terms of given quantities?

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parts (a) and (b)

We will walk through the derivation for the formula predicting
where the ball will land in the following experimental set-up:
Release Point
Launch Point
Angle Adjustment Screw
Pivot Point
Table
h2
h1
h3
Plumb Bob
Floor
Here, we know the geometric parameters, h1, h3, h2, D and L. A ball is released from rest at the top of track and we
want to know how far it travels.
(a) Calculate the speed at the launch point using conservation of energy. Your answer should be expressed in terms
of h, and h2.
(b) The problem now turns into a projectile motion problem with initial speed vo. It is being launched at an angle 0.
Can you tell me what sin 0 and cos 0 are in terms of given quantities?
Transcribed Image Text:We will walk through the derivation for the formula predicting where the ball will land in the following experimental set-up: Release Point Launch Point Angle Adjustment Screw Pivot Point Table h2 h1 h3 Plumb Bob Floor Here, we know the geometric parameters, h1, h3, h2, D and L. A ball is released from rest at the top of track and we want to know how far it travels. (a) Calculate the speed at the launch point using conservation of energy. Your answer should be expressed in terms of h, and h2. (b) The problem now turns into a projectile motion problem with initial speed vo. It is being launched at an angle 0. Can you tell me what sin 0 and cos 0 are in terms of given quantities?
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