Consider a 10.0 kg shipping container with an initial velocity of 3.50 m/s slidi

Question

Consider a 10.0 kg shipping container with an initial velocity of 3.50 m/s sliding up a 25.0o, frictionless inclined plane into an UPS delivery truck. A. If the container stops at the top of the plane just before being lifted off and stacked, predict the time it took sliding up the ramp. B. Predict the displacement along the length of the plane. C. Predict the height above the bottom of the plane the container slid. Consider a 10.0 kg shipping container with an initial velocity of 3.50 m/s sliding up a 25.0o, frictionless inclined plane into an UPS delivery truck. A. If the container stops at the top of the plane just before being lifted off and stacked, predict the time it took sliding up the ramp. B. Predict the displacement along the length of the plane. C. Predict the height above the bottom of the plane the container slid. Consider a 10.0 kg shipping container with an initial velocity of 3.50 m/s sliding up a 25.0o, frictionless inclined plane into an UPS delivery truck. A. If the container stops at the top of the plane just before being lifted off and stacked, predict the time it took sliding up the ramp. B. Predict the displacement along the length of the plane. C. Predict the height above the bottom of the plane the container slid.

Explanation / Answer

m=10kg, vi=3.50m/s, =25deg

A) a=gsin=-9.8*sin25 = -4.14m/s^2

To find time use equation,

vf=vi+a*t

0 = 3.50 - 4.14*t    => t= 0.85s

B) Use equation,

vf^2 = vi^2 +2*a*d

0^2 = 3.50^2 - 2*4.14*d   => d= 1.45m

C) h= dsin = 1.45sin25 = 0.6m

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