As shown In the figure below, a box of mass m = 37.0 kg is sliding along a horizontal frictionless surface at a speed v, = 5.95 m/s when it encounters a ramp inclined at an angle of 0 = 28.8°. rough surface V frictionless surface The coefficient of kinetic friction between the ramp and the box is u = 0.0704 and the box slides a distance d'up the ramp before coming momentarily to rest. (a) Determine the distance (in m) the box slides up the ramp before coming momentarily to rest. m (b) Determine which of the following statements is most correct about the box traveling up the ramp and coming momentarily to rest. O Wwlet = AKE O w, = -APE, WNet = W cons + Wnoncons O AE = W noncons Ο ΔΕ- ΔΚΕ + ΔΡΕ O O O

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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As shown in the figure below, a box of mass \( m = 37.0 \, \text{kg} \) is sliding along a horizontal frictionless surface at a speed \( v_i = 5.95 \, \text{m/s} \) when it encounters a ramp inclined at an angle of \( \theta = 28.8^\circ \).

![Ramp Diagram]

- The diagram shows a box moving from a frictionless horizontal surface onto a rough inclined surface.
- The inclined surface forms an angle \( \theta \) with the horizontal, marked as \( 28.8^\circ \).

The coefficient of kinetic friction between the ramp and the box is \( \mu = 0.0704 \), and the box slides a distance \( d \) up the ramp before coming momentarily to rest.

(a) **Determine the distance (in m) the box slides up the ramp before coming momentarily to rest.**

\[ \boxed{\rule{3cm}{0.1mm}} \text{ m} \]

(b) **Determine which of the following statements is most correct about the box traveling up the ramp and coming momentarily to rest.**

- □ \( W_{\text{Net}} = \Delta \text{KE} \)

- □ \( W_g = -\Delta \text{PE}_g \)

- □ \( W_{\text{Net}} = W_{\text{cons}} + W_{\text{noncons}} \)

- □ \( \Delta E = W_{\text{noncons}} \)

- □ \( \Delta E = \Delta \text{KE} + \Delta \text{PE} \)
Transcribed Image Text:As shown in the figure below, a box of mass \( m = 37.0 \, \text{kg} \) is sliding along a horizontal frictionless surface at a speed \( v_i = 5.95 \, \text{m/s} \) when it encounters a ramp inclined at an angle of \( \theta = 28.8^\circ \). ![Ramp Diagram] - The diagram shows a box moving from a frictionless horizontal surface onto a rough inclined surface. - The inclined surface forms an angle \( \theta \) with the horizontal, marked as \( 28.8^\circ \). The coefficient of kinetic friction between the ramp and the box is \( \mu = 0.0704 \), and the box slides a distance \( d \) up the ramp before coming momentarily to rest. (a) **Determine the distance (in m) the box slides up the ramp before coming momentarily to rest.** \[ \boxed{\rule{3cm}{0.1mm}} \text{ m} \] (b) **Determine which of the following statements is most correct about the box traveling up the ramp and coming momentarily to rest.** - □ \( W_{\text{Net}} = \Delta \text{KE} \) - □ \( W_g = -\Delta \text{PE}_g \) - □ \( W_{\text{Net}} = W_{\text{cons}} + W_{\text{noncons}} \) - □ \( \Delta E = W_{\text{noncons}} \) - □ \( \Delta E = \Delta \text{KE} + \Delta \text{PE} \)
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