Find Distance Block Falls from Table Edge: Forces on an Incline

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SUMMARY

The discussion focuses on calculating the distance a block of mass 2.00 kg falls from the edge of a frictionless incline at a 35.0° angle, released from a height of 0.600 m above the table. The incline is positioned on a table with a height of 2.00 m. Key calculations involve determining the final velocity of the block at the ramp's edge and breaking this velocity into horizontal and vertical components to find the distance from the table where the block will land. The user is advised to utilize kinematics equations to solve for the unknowns involved in the motion.

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Question:
A block of mass m = 2.00 kg is released from rest at h = 0.600 m from the surface of a table, at the top of a θ = 35.0° incline as shown below. The frictionless incline is fixed on a table of height H = 2.00 m.
How far from the table will the block hit the floor?

So basically a block falls from a ramp on top of a table and I'm supposed to figure out how far the block falls from the edge of the ramp (which is on the edge of the table).
I would use a kinematics equation but I have another unknown besides the distance.
I figured out the final velocity at the edge of the ramp and the length of the hypotenuse of the ramp and the acceleration during the ramp time but I don't know anything about the ramp time.
 
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tyro008 said:
Question:
A block of mass m = 2.00 kg is released from rest at h = 0.600 m from the surface of a table, at the top of a θ = 35.0° incline as shown below. The frictionless incline is fixed on a table of height H = 2.00 m.
How far from the table will the block hit the floor?

So basically a block falls from a ramp on top of a table and I'm supposed to figure out how far the block falls from the edge of the ramp (which is on the edge of the table).
I would use a kinematics equation but I have another unknown besides the distance.
I figured out the final velocity at the edge of the ramp and the length of the hypotenuse of the ramp and the acceleration during the ramp time but I don't know anything about the ramp time.
Welcome to PF tyro008,

You made a good start by determining the velocity of the block at the point of leaving the ramp. Now try splitting the velocity of the block into vertical and horizontal components and see what you can do from there.
 

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