A 3.00-kg block is sent up a ramp inclined at an angle 0 = 27.0° from the horizontal. It is given an initial velocity vo = 15.0 m/s up the ramp. Between the block and the ramp, the coefficient of kinetic friction is 4 = 0.30 and the coefficient of static friction is µ, = 0.80. What distance D along the ramp's surface does the block travel before it comes to a stop?
A 3.00-kg block is sent up a ramp inclined at an angle 0 = 27.0° from the horizontal. It is given an initial velocity vo = 15.0 m/s up the ramp. Between the block and the ramp, the coefficient of kinetic friction is 4 = 0.30 and the coefficient of static friction is µ, = 0.80. What distance D along the ramp's surface does the block travel before it comes to a stop?
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A 3.00-kg block is sent up a ramp inclined at an angle ?=27.0∘ from the horizontal. It is given an initial velocity ?0=15.0 m/s up the ramp. Between the block and the ramp, the coefficient of kinetic friction is ?k=0.30 and the coefficient of static friction is ?s=0.80.
What distance ? along the ramp's surface does the block travel before it comes to a stop?
![### Problem Description
A 3.00-kg block is sent up a ramp inclined at an angle \( \theta = 27.0^\circ \) from the horizontal. It is given an initial velocity \( v_0 = 15.0 \, \text{m/s} \) up the ramp. Between the block and the ramp, the coefficient of kinetic friction is \( \mu_k = 0.30 \) and the coefficient of static friction is \( \mu_s = 0.80 \).
**Objective**: What distance \( D \) along the ramp's surface does the block travel before it comes to a stop?
\[ D = \_\_\_\_\_\_\_\_ \, \text{m} \]
### Diagram Description
- The diagram shows a block placed on an inclined plane.
- The incline is labeled with angle \( \theta \) of 27.0 degrees from the horizontal.
- An arrow labeled \( v_0 \) represents the initial velocity of the block up the ramp.
- The surface of the ramp shows a dashed line parallel to the horizontal.
### Additional Information
The problem provides values for:
- Mass of the block: \( 3.00 \, \text{kg} \)
- Initial velocity: \( 15.0 \, \text{m/s} \)
- Coefficient of kinetic friction: \( 0.30 \)
- Coefficient of static friction: \( 0.80 \)
The goal is to calculate the stopping distance \( D \) using the given parameters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff90e9f76-a8ee-4e86-857e-4cb9f0bb2381%2F120e8479-dd7d-4c4d-8cc0-40a33a39ad32%2Fup6ed7_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem Description
A 3.00-kg block is sent up a ramp inclined at an angle \( \theta = 27.0^\circ \) from the horizontal. It is given an initial velocity \( v_0 = 15.0 \, \text{m/s} \) up the ramp. Between the block and the ramp, the coefficient of kinetic friction is \( \mu_k = 0.30 \) and the coefficient of static friction is \( \mu_s = 0.80 \).
**Objective**: What distance \( D \) along the ramp's surface does the block travel before it comes to a stop?
\[ D = \_\_\_\_\_\_\_\_ \, \text{m} \]
### Diagram Description
- The diagram shows a block placed on an inclined plane.
- The incline is labeled with angle \( \theta \) of 27.0 degrees from the horizontal.
- An arrow labeled \( v_0 \) represents the initial velocity of the block up the ramp.
- The surface of the ramp shows a dashed line parallel to the horizontal.
### Additional Information
The problem provides values for:
- Mass of the block: \( 3.00 \, \text{kg} \)
- Initial velocity: \( 15.0 \, \text{m/s} \)
- Coefficient of kinetic friction: \( 0.30 \)
- Coefficient of static friction: \( 0.80 \)
The goal is to calculate the stopping distance \( D \) using the given parameters.
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