working on a review need help please 1. The tollowing force vectors act on an ob

Question

working on a review need help please

1. The tollowing force vectors act on an objecti i1 25 Newtons at 45* north ot east and ) 50 Newtons at 30 soutn of east. Which or the tollowing represents the magnitude of the resultant and its angle relative to the casterfly direction? A) 357 Newtons 0deg B) 750 Newtons 15 deg C) 55.6 Newtons-7.50 deg D) 61.4 Newtons 21.8 deg E) 61.4 Newons 685 deg 2. Vector A is 3 units in length and points along the positive x-avis vector B is 4 units in length and points along a direction 49 from the positive x-axis, and vector Ci 12 units and points along a direction 230 What is the direction of the resultant with respect to the positive x-axis in degrees? A) 112.70 B) 25 1.3C) 2560 D) 117.6" E) 270.48" 3. At the top of a cit 70 m high, Raoul throws a rock upward with velocity 33 ms How much lalcr should he drop a second rock from rest so both rocks arive 4. If the velocity of an object is given by V-6 14.5t 8, when o-7, what is its displacement añer 4,5 seconds? 5. A ball is thrown up in the air with an initial velocity of 34.3 m/s upward. How long does it take the ball to return to the ground? simultancously at the bottom of the clift? A) 12.3 sec B) 6.93 sec C) 4.65 sec D) 1.316 sec E) 1.974 sec A) 618 m B) 564 m C) 108 m D) 2207 m E) 576 m A) 7s B) 1.9 s C) 12.3 s D) 2 s E) 1.98 s rinhe wind is blowing at 300 mph in a direction 35 sorth of west. What is the new velocity of the

Explanation / Answer

1] Fnet = [ 25 cos 45 degree + 50 cos 30 degree ] i +  [ 25 sin 45 degree - 50 sin 30 degree ] j

= 60.98 i -7.322 j

= sqrt(60.98^2 + 7.322^2) = 61.4 N

angle= arctan(-7.322/60.98) = - 6.85 degree

option E

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