As shown in the figure below, a box of mass m = 26.0 kg is sliding along a horizontal frictionless surface at a speed v; = 7.20 m/s when it encounters a ramp inclined at an angle of e = 27.0°. rough surface 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 WNet = AKE O w = -APE, O WNet = + Wnoncons cons O AE = W noncons Ο ΔΕ- ΔΚΕ + ΔΡΕ O all of these

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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As shown in the figure below, a box of mass \( m = 26.0 \, \text{kg} \) is sliding along a horizontal frictionless surface at a speed \( v_i = 7.20 \, \text{m/s} \) when it encounters a ramp inclined at an angle of \( \theta = 27.0^\circ \).

**Diagram Description:**
- A box is moving on a frictionless surface toward a ramp.
- The ramp has a rough surface inclined at an angle \( \theta \).
- The velocity vector \( v_i \) is shown pointing to the right.

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.
- Input box for answer: \( \underline{\hspace{1cm}} \) m

(b) Determine which of the following statements is most correct about the box traveling up the ramp and coming momentarily to rest.
- \( W_{\text{Net}} = \Delta KE \)
- \( W_g = -\Delta PE_g \)
- \( W_{\text{Net}} = W_{\text{cons}} + W_{\text{noncons}} \)
- \( \Delta E = W_{\text{noncons}} \)
- \( \Delta E = \Delta KE + \Delta PE \)
- all of these

Please select the correct statement.
Transcribed Image Text:As shown in the figure below, a box of mass \( m = 26.0 \, \text{kg} \) is sliding along a horizontal frictionless surface at a speed \( v_i = 7.20 \, \text{m/s} \) when it encounters a ramp inclined at an angle of \( \theta = 27.0^\circ \). **Diagram Description:** - A box is moving on a frictionless surface toward a ramp. - The ramp has a rough surface inclined at an angle \( \theta \). - The velocity vector \( v_i \) is shown pointing to the right. 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. - Input box for answer: \( \underline{\hspace{1cm}} \) m (b) Determine which of the following statements is most correct about the box traveling up the ramp and coming momentarily to rest. - \( W_{\text{Net}} = \Delta KE \) - \( W_g = -\Delta PE_g \) - \( W_{\text{Net}} = W_{\text{cons}} + W_{\text{noncons}} \) - \( \Delta E = W_{\text{noncons}} \) - \( \Delta E = \Delta KE + \Delta PE \) - all of these Please select the correct statement.
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