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- 6. . A force F of magnitude 6.00 units acts on an object at the ori- gin in a direction 0 = 30.0° above the positive x axis (Fig. P3.10). A second force F2 of magnitude 5.00 units acts on the object in the direction of the positive y axis. Find graphically the mag- nitude and direction of the resul- tant force F, + F. Figure P3.10A golfer goes to chip the ball. The closest edge of the green is 60 m away and the furthest edge of the green is 80 m away. He hits the ball with an initial velocity of 30 m/s at a 40 degree angle. With this range, will the ball land on the green? O a. Yes O b. No2. A helicopter rises with a uniform speed of 30 m/s at an angle of 50° to the horizontal. (a) What are the vertical and horizontal components of its velocity? (b) How long will it take to reach an altitude of 1.00 km? (c) What horizontal distance will it have covered by that time?
- 1. A rock is thrown off a cliff at an angle of 51 with respect to the horizontal. The cliff is 126 m high. The initial speed of the rock is 24 m/s. (a) Fill in the following: Vo Vox Voy || || ✓ m S ES = ES m (b) VX (c) V (d) In your notebook, draw a sketch of the problem. Select the direction along the along the vertical axis (y-axis) that is positive (upwards or downwards). Select the direction along the along the horizontal axis (x-axis) that is positive (left or right). Select an origin. Draw the vectors for Vo, Vox Voy" V, Vx, Vy, ax, a¸. Label on your diagram the initial and final positions of the rock x, y, and xƒ‚ Yf. (e) How high above the edge of the cliff does the rock rise? Ay= m 00 (f) How far has it moved horizontally when it is at maximum altitude? Δx= m (g) How long after the release does it hit the ground? ground= (h) What is the range of the rock? Ax total ✔m S (i) What are the horizontal and vertical positions of the rock relative to the edge of the cliff at t = 4 s.…A cannon is placed on high ground 24 ft above a target that is 1000 ft away horizontally. It fires a projectile upward at a 45° angle with an initial speed of vo ft/s. What value of vo is necessary for the projectile to hit the target? The acceleration due to gravity is g= 32 ft/s2. Select one: a. Vo 150 Ob. Vo V500 с. Vo 100/2 d. Vo 125 2 e. Vo 2501. A projectile is launched at an angle of 300 above the horizontal. Neglecting air resistance, what are the projectile's horizontal and vertical accelerations when it reaches its maximum height?
- A golf ball is driven off a tree that is elevated 10m above fairway. The initial velocity of the ball is 40m/s with an angle of 40° at the horizontal. a. Maximum height? b. Range? c. Velocity of ball when it reaches fairway?6. A ball is fired from the origin with an initial velocity of 60.0 m/s at 70.0° above the x-axis. Ignore air resistance. (a) What are the horizontal and vertical components of the ball's initial velocity? (b) Find the maximum height above the the ball can reach. (c) What are the horizontal and vertical components of the ball's velocity and acceleration at its maximum height?A ski jumper acquires a speed of 104.0 km/hr by racing down a steep hill. He then lifts off into the air from a horizontal ramp. Beyond this ramp, the ground slopes downward at an angle of = 45 degrees. £. Assuming the skier is ? d free-fall motion after he leaves the ramp, at what distance d down the slope does the skier land?
- A rock is thrown off a cliff at an angle of51ºwith respect to the horizontal. The cliff is 110 m high. The initial speed of the rock is 30 m/s. a.How high above the edge of the cliff does the rock rise? b.How far has it moved horizontally when it is at maximum altitude? ( c.How long after the release does it hit the ground? d.What is the range of the rock? e.What are the horizontal and vertical positions of the rock relative to the edge of the cliff att= 2.0 s,t= 4.0 s, andt= 6.0 s?7. A speedboat moves on a lake with initial velocity vector vix = 8.51 m/s and v1,y = -2.47 m/s, then accelerates for 6.97 s at an average acceleration of aav x = -0.105 and т ay = 0.1064. What are the speedboats final speed and direction?1110. In Fig. P-1109, a ball thrown down the incline strikes it at a distance s 254.5 It. If the ball rises to a maximum height h 64.4 ft above the point of release, compute its initial velocity vo and inclination 6. Ans. v. = 80.5 ft per see; 0= 53.1° FIG. P-1109 and P-1110.