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As shown in the figure below, a box of mass m = 27.0 kg is sliding along a horiz

ID: 2262762 • Letter: A

Question

As shown in the figure below, a box of mass m = 27.0 kg is sliding along a horizontal frictionless surface at a speed vi = 6.70 m/s when it encounters a ramp inclined at an angle of ? = 20.8

As shown in the figure below, a box of mass m = 27.0 kg is sliding along a horizontal frictionless surface at a speed vi = 6.70 m/s when it encounters a ramp inclined at an angle of ? = 20.8 degree . The coefficient of kinetic friction between the ramp and the box is ? = 0.0704 and the box slides a distance d up the ramp before coming momentarily to rest. Determine the distance the box slides up the ramp before coming momentarily to rest. m Determine which of the following statements is most correct about the box traveling up the ramp and coming momentarily to rest. WNet = ?KE Wg = ??PEg WNet = Wcons + Wnoncons ?E = Wnoncons ?E = ?KE + ?PE all of these

Explanation / Answer

a)

1/2 m v^2 = m g d sin20.8 + u m g cos(20.8) d

==> 1/2 v^2 = g d sin20.8 + u g cos(20.8) d

==> d = 1/2 * 6.70*6.70 / (9.8 * sin(20.8) + 0.0704 * 9.8 * cos(20.8))

==> d = 5.44 m


b)

6. all of these