# A large crate of mass 1500 kg starts sliding from rest along a frictionless ramp, whose length is t.

A large crate of mass 1500 kg starts
sliding from rest along a frictionless ramp, whose length  is t and whose
inclination with the horizontal is . (a) Determine as a
function of : (i) the
acceleration a of the crate as it goes downhill, (ii) the time t to reach the
bottom of the incline, (iii) the final velocity v of the crate when it reaches
the bottom of the ramp, and (iv) the normal force FN on the crate,
(b) Now assume = 100 m. Use a
spreadsheet to calculate and graph a, t, v, and FN as functions of  from  = 0 to 90° in 1° steps. Are your results consistent with the
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A large crate of mass 1500 kg starts
sliding from rest along a frictionless ramp, whose length  is t and whose
inclination with the horizontal is . (a) Determine as a
function of : (i) the
acceleration a of the crate as it goes downhill, (ii) the time t to reach the
bottom of the incline, (iii) the final velocity v of the crate when it reaches
the bottom of the ramp, and (iv) the normal force FN on the crate,
(b) Now assume = 100 m. Use a
spreadsheet to calculate and graph a, t, v, and FN as functions of  from  = 0 to 90° in 1° steps. Are your results consistent with the known
result for the limiting cases  = 0 and = 90°?

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