Question A 7.00-kg block is sent up a ramp inclined at an angle πœƒ=29.0∘ from the horizontal. It is given an initial velocity 𝑣0=15.0 m/s up the ramp. Between the block and the ramp, the coefficient of kinetic friction is πœ‡k=0.50 and the coefficient of static friction is πœ‡s=0.70. What distance 𝐷 along the ramp's surface does the block travel before it comes to a stop?

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A 7.00-kg block is sent up a ramp inclined at an angle 𝜃=29.0∘ from the horizontal. It is given an initial velocity 𝑣0=15.0 m/s up the ramp. Between the block and the ramp, the coefficient of kinetic friction is 𝜇k=0.50 and the coefficient of static friction is 𝜇s=0.70.

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

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&#12304;General guidance&#12305;The answer provided below has been developed in a clear step by step manner.Step1/2Given data :Mass of the block, \( \mathrm{{m}={7}{k}{g}} \)Angle of incline, \( \mathrm{\theta={29}^{{o}}} \)Initial velocity of the block, \( \mathrm{{v}_{{0}}={15}{m}/{s}} \)Final velocity of the block, \( \mathrm{{v}={0}{m}/{s}} \) (rest)Coefficient of kinetic friction, \( \mathrm{\mu_{{k}}={0.5}} \)Explanation:Please refer to solution in this step.Step2/2FBD<path d=" M 388.6409856337994 164.03136844295875 L 348.01369067942363 190.56347943357147 " marker-end="url(#zzex9keh383yoL9xyA-Y1ve1-end-arrowhead)" fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="2" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" dominant-baseline="text-before-edge" vector-effect="non-scaling-stroke" data-id="zzex9keh383yoL9xyA-Y1ve"><path d=" M 388.6410161513775 159.8291131939353 L 425.12487453886087 231.90697976432918 " marker-end="url(#zzex9keh383yoL9xyA-Y1ve2-end-arrowhead)" fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="2" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" dominant-baseline="text-before-edge" vector-effect="non-scaling-stroke" data-id="zzex9keh383yoL9xyA-Y1ve"><path d=" M 388.6409856337994 146.03136844295875 L 388.6409856337994 248.03136844295875 " marker-end="url(#zzex9keh383yoL9xyA-Y1ve3-end-arrowhead)" fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="2" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round" stroke-miterlimit="10" dominant-baseline="text-before-edge" vector-effect="non-scaling-stroke" data-id="zzex9keh383yoL9xyA-Y1ve"><path d=" M 443.6410390395611 69.03133792538064 L 397.2159682966866 96.88638037110537 " marker-end="url(#zzex9keh383yoL9xyA-Y1ve4-end-arrowhead)" fill="#FFFFFF" stroke="rgb(51, 51, 51)" stroke-width="2" stroke-dasharray="0" stroke-linecap="round" stroke-linejoin="round ... See the full answer