Chap02-Solution2

# Chap02-Solution2 - Chap 2 HW part 2 Question 4 The...

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5 Chap. 2 HW – part 2 Question 4. The following equations give the velocity v(t) of a particle in four situations: (a) v = 3; (b) v = 4 t 2 + 2 t - 6; (c) v = 3 t - 4; (d) v = 5 t 2 - 3. To which of these situations do the equations of Table 2-1 apply? The equations of Table 2-1 assume that a = constant (note that this constant can be zero). Recall that a = d v /d t = d 2 v /d 2 t. a) a = d v /d t = 0, so a is constant b) a = d v /d t = 8 t , so a is not constant c) a = d v /d t = 3, so a is constant d) a = d v /d t = 10t, so a is not constant So the equations of Table 2-1 apply to a) and c). 5 . In Fig. 2-17, a cream tangerine is thrown directly upward past three evenly spaced windows of equal heights. Rank the Windows according to (a) the average speed of the cream tangerine while passing them, The pie is slowing down so the ranking must be 3, 2, 1. (b) the time the cream tangerine takes to pass them, Since it is slowing 1, 2, 3 (c) the magnitude of the acceleration of the cream tangerine while passing them The accelerations are all the same (= g ). All tie. (d) the change Δ ν first. Average velocity = a Δ t So from part b) the ranking is 1, 2, 3 Problems 16. An electron moving along the x axis has a position given by x = l6 te -t where t is in seconds. How far is the electron from the origin when it momentarily stops? Using the general property d dx bx b bx exp( ) exp( ) = , we write () t t t t t e t te e e dt d t e t dt d dt dx v = = + = = 1 16 16 16 16 16 This is zero (electron comes to rest) when t = 1 s Then m 9 . 5 16 = = t te x 19. The position of a particle moving along the x axis depends on the time according to the equation x = ct 2 - bt 3 , where x is in meters and t in seconds. What are the units of (a) constant c and (b) constant b? Let their numerical values be 3.0 and 2.0, respectively. (c) At what time does

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Chap02-Solution2 - Chap 2 HW part 2 Question 4 The...

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