You get a running start, pushing a box of mass 21.6 kg up to a ramp of grade (slope) 0.54 and friction coefficient 0.54. The box has a speed 10.4 m/s when it starts up the ramp, the same time that you let it go. The ramp ends at a platform of height 2.05 m. (a) What is the unit vector pointing up the ramp? t = ŷ + 2 (b) What is the upward normal direction from the ramp? ĥ = ŷ + 2 (c) Find the horizontal direction in terms of the Î-ñ basis. ŷ = t+ (d) Find the vertical direction in terms of the Î-ñ basis. 2 = t+ ĥ (e) Write the weight in the t-n basis. W = + ĥ (f) What is the speed of the box at the top of the ramp?
You get a running start, pushing a box of mass 21.6 kg up to a ramp of grade (slope) 0.54 and friction coefficient 0.54. The box has a speed 10.4 m/s when it starts up the ramp, the same time that you let it go. The ramp ends at a platform of height 2.05 m. (a) What is the unit vector pointing up the ramp? t = ŷ + 2 (b) What is the upward normal direction from the ramp? ĥ = ŷ + 2 (c) Find the horizontal direction in terms of the Î-ñ basis. ŷ = t+ (d) Find the vertical direction in terms of the Î-ñ basis. 2 = t+ ĥ (e) Write the weight in the t-n basis. W = + ĥ (f) What is the speed of the box at the top of the ramp?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Transcribed Image Text:You get a running start, pushing a box of mass 21.6 kg up to a ramp of grade (slope) 0.54 and friction coefficient 0.54. The box has a speed 10.4 m/s when it starts up the
ramp, the same time that you let it go. The ramp ends at a platform of height 2.05 m.
(a) What is the unit vector pointing up the ramp?
ŷ +
2
Ĉ
=
(b) What is the upward normal direction from the ramp?
n =
ŷ +
2
(c) Find the horizontal direction in terms of the t-î basis.
ŷ =
t +
(d) Find the vertical direction in terms of the t-în basis.
2 =
+
(e) Write the weight in the t-î basis.
TW
+
(f) What is the speed of the box at the top of the ramp?
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