vey An explorer in dense jungles his hut. He takes 38 steps northeast, then 75 s

Question

vey An explorer in dense jungles his hut. He takes 38 steps northeast, then 75 steps 60 north of west, then 57 steps due south. Assume his steps all have equal length. a. Sketch roughly to scale each vector and the resultant displacement of the explorer b. Write an expression for his resultant displacement in component form, and c. state the magnitude and direction of his displacement. A cannon is fixed to the edge of a cliff and launches cannonballs at a speed of vo = 50 m/s at an angle of = 369" above the horizontal, 3. 36 m a height h-135m from the floor of a flat canyon as shown. Use Find the maximum height above the launch point reached by the cannonball. Find the time until the cannonball hits the floor. find the horizontal distance from the edge of the cliff where the ball will initially land. Find the magnitude and direction of the velocity of the cannonball just before impact. a. 35 b. c. d. Two masses are connected via a cord over a frictionless pulley on an inclined plane as shown. If m, = 8.00 kg and 4.

Explanation / Answer

3. (A) v0y = 50 sin36.9 = 30 m/s

at maximum height vy = 0

vf^2 - v0^2 = 2 a d in vertical

0^2 - 30^2 = 2(-10)(H)

H = 45 m

(B) y = 0 - h = - 135 m

y = v0y t + ay t^2 /2

-135 = 30t - 10t^2/2

t = 9 sec

(C) d = (50 cos36.9)(9) =360 m

(d) vfx = v0x = 50 cos36.9 = 40 m/s

vfy = 30 - 10(9) = - 60 m/s

magnitude = sqrt(vfx^2 + vfy^2) = 72 m/s

direction = tan^-1(vfy/vfx) =56 deg below the horizontal

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