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

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A block of mass 2.00 kg is released from a height of 0.600 m on a 35.0° incline fixed on a table 2.00 m high. The goal is to calculate how far from the table edge the block will land after sliding down the ramp. The final velocity at the ramp's edge has been determined, but the time taken to slide down the ramp remains unknown. To solve the problem, it is suggested to break the velocity into horizontal and vertical components for further analysis. This approach will help in calculating the distance the block travels before hitting the ground.
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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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