A block is launched up a 3.75 m high frictionless inclined plane (0 = 35.0°) with an initial speed of vo = 12.5 m/s as shown in the figure below. (a) What is the block's looc the block

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### Physics Problem: Motion on an Inclined Plane

A block is launched up a 3.75 m high frictionless inclined plane (θ = 35.0°) with an initial speed of \( v_0 = 12.5 \, \text{m/s} \) as shown in the figure. 

#### Problem:
(a) What is the block’s speed as it leaves the ramp?  
(b) How far from the base of the ramp does the block land? (Air resistance is negligible)

#### Diagram Explanation:
- The diagram depicts a block on a ramp.
- The ramp is inclined at an angle \( \theta = 35.0° \) to the horizontal.
- The initial velocity \( v_0 = 12.5 \, \text{m/s} \) is shown as an arrow directed along the ramp.
- The height of the ramp is given as 3.75 m.
- The horizontal distance \( x \) from the base is indicated with a question mark, showing it is the unknown to be determined in part (b).
Transcribed Image Text:### Physics Problem: Motion on an Inclined Plane A block is launched up a 3.75 m high frictionless inclined plane (θ = 35.0°) with an initial speed of \( v_0 = 12.5 \, \text{m/s} \) as shown in the figure. #### Problem: (a) What is the block’s speed as it leaves the ramp? (b) How far from the base of the ramp does the block land? (Air resistance is negligible) #### Diagram Explanation: - The diagram depicts a block on a ramp. - The ramp is inclined at an angle \( \theta = 35.0° \) to the horizontal. - The initial velocity \( v_0 = 12.5 \, \text{m/s} \) is shown as an arrow directed along the ramp. - The height of the ramp is given as 3.75 m. - The horizontal distance \( x \) from the base is indicated with a question mark, showing it is the unknown to be determined in part (b).
Expert Solution
Step 1

Given-

height of the object h= 3.75 m 

The frictionless incline plane  θ= 35°

The initial velocity is 12.5 m/s 

Find:-

(a) What is the block's speed as it leaves the ramp?

(b) How far from the base of the ramp does the block land? 

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