Suppose a 2.00 kg object is placed on a ramp of inclination 30.0° and the coefficients of friction are 0.40 and 0.60. A force of 18.0 N acting parallel to the ramp is not enough to start the object moving up the ramp if it is at rest, but it is enough to accelerate it up the ramp once it is in motion. (a) Explain and show mathematically why this is true. (b) Determine the acceleration up the ramp that the 18.0

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45. Suppose a 2.00 kg object is placed on a ramp of inclination 30.0° and the coefficients of friction are 0.40 and 0.60. A force of 18.0 N acting parallel to the ramp is not enough to start the object moving up the ramp if it is at rest, but it is enough to accelerate it up the ramp once it is in motion. (a) Explain and show mathematically why this is true. (b) Determine the acceleration up the ramp that the 18.0 N force can sustain. (c) Determine the minimum force parallel to the surface that would start the object moving down the ramp if it is initially at rest.
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