6. shaft at 3.00 m/s. The nut strikes the bottom of the shaft in 2.00 s. (a) How far from the bottom of the shaft was the elevator when the nut fell off? (b) How far above the bottom was the nut 0.25 s after it fell off? A nut comes loose from a bolt on the bottom of an elevator, as the elevator is moving up the Answer: 13.6m, 14 m
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- A search and rescue helicopter travels at constant speed in a horizontal plane. The figure below shows a portion of the path traveled by the helicopter, as viewed looking down from above. The helicopter's path includes three straight portions between points "1" and "2", points "4" and "5", and points "7" and "8", each of which has a length of 4000 m, as shown in the figure. It takes the helicopter 2000 seconds to travel along each of these straight portions of its path. The semi-circular portions of the path (also shown in the figure) have the same radius R=500m. +y YNorth) 8. 4 4000 m A semi-circle is one half of a circle. East 6.35. A ball is thrown horizontally from the top of a 20-m high hill. It strikes the ground at an angle of 45°. With what speed was it thrown? Use g = 10 m/s. %3D9: An archer fires an arrow straight up into the air with a speed v0=35.6m/s. Neglect air resistance. a. Find the maximum height, hℎ, in meters, reached by the arrow. b. In terms of known quantities, write an expression for the time the arrow is in the air until it returns to launch height.
- 3. A satellite is launched from the surface of the earth at the initial speed of 8 km/s. How high will it go before it stops and starts falling back to the earth?6. A ball is thrown upward with a velocity of 4.5 m/s. Its speed and the magnitude of its acceleration at the highest point (a) are both equal to zero (b) are given by 9.81 m/s and 0 m/s², respectively (c) are given by 0 m/s and 9.81 m/s², respectively (d) cannot be predicted unless the height is known Answer: 7. Which of the following statements about a projectile is not true? Assume that the air resistance is negligible. (a) Its motion is in two dimensions. (b) The only acceleration is in the vertical direction. (c) Its velocity in the horizontal direction remains the same throughout the flight. (d) The velocity at the highest point of its trajectory is zero. Answer:Which of the following descriptions corresponds to a ball tossed vertically upward? Air resistance can be neglected. a. The velocity decreases linearly from v_0 to v_f, with v_0>0 and v_f<0. b. The velocity increases linearly from zero to v_f. c. The position first increases linearly and then decreases linearly as a function of time. d. The acceleration decreases linearly from g to zero.
- 3. A rock is thrown with a speed of 30 m/s at an angle of 35° above the horizontal. A vertical wall is located 25 m away. How long will it take for the rock to hit the wall? How high up the wall does the rock strike the wall? What are the rock's velocity components when it strikes the wall? Does the rock strike the wall on its way up or its way down? 4 a) t = 1.02 s b) y = 12.4 m c) v = (24.6î +7.24ĵ) m/s d) On the way up!9. A ball is thrown into the air and follows a parabolic trajectory. At the highest point in the trajectory. Select one: a. The velocity is zero, but the acceleration is not zero b. both the velocity and acceleration is not zero c. the acceleration is zero, but the velocity is not zero d. neither the acceleration nor the velocity are zero1. 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.…
- 12. An airplane turns slowly for 9.2 s horizontally. The final velocity of the plane is 3.6 X 10 km/h [N]; the average acceleration during the turn is 5.0 m/s [W]. What was the initial velocity of the plane? AA racing car is moving around the circular track of radius 500 meters shown above. At the instant when the car's velocity is directed due east, its acceleration is directed due north and has a magnitude of 2 meters per second squared. When viewed from above, the car is moving A. clockwise at 32 m/s B. counterclockwise at 16 m/s C. counterclockwise at 32 m/s D. clockwise at 16 m/s2. A car is traveling a road that includes two sides of a rectangle with the sides a and b with a constant speed. What is the speed if the magnitude of the average velocity of the car is v?