A 9.00-kg block is sent up a ramp inclined at an angle 0 = 29.0° 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 µ = 0.50 and the coefficient of static friction is µ, = 0.70. What distance D along the ramp's surface does the block travel before it comes to a stop? D = m

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A 9.00-kg block is sent up a ramp inclined at an angle \( \theta = 29.0^\circ \) 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 \( \mu_k = 0.50 \) and the coefficient of static friction is \( \mu_s = 0.70 \).

What distance \( D \) along the ramp's surface does the block travel before it comes to a stop?

\[ D = \, \text{\_\_\_\_\_\_\_\_} \, \text{m} \]

**Diagram Explanation:**
The image depicts a block placed on a ramp inclined at an angle \( \theta \). The ramp forms an angle of \( 29.0^\circ \) with the horizontal. The block is pushed up the ramp with an initial velocity \( v_0 \). An arrow indicates the direction of the initial velocity, showing that it is moving upward along the slope of the ramp.
Transcribed Image Text:A 9.00-kg block is sent up a ramp inclined at an angle \( \theta = 29.0^\circ \) 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 \( \mu_k = 0.50 \) and the coefficient of static friction is \( \mu_s = 0.70 \). What distance \( D \) along the ramp's surface does the block travel before it comes to a stop? \[ D = \, \text{\_\_\_\_\_\_\_\_} \, \text{m} \] **Diagram Explanation:** The image depicts a block placed on a ramp inclined at an angle \( \theta \). The ramp forms an angle of \( 29.0^\circ \) with the horizontal. The block is pushed up the ramp with an initial velocity \( v_0 \). An arrow indicates the direction of the initial velocity, showing that it is moving upward along the slope of the ramp.
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