College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- During a tennis match, a player serves the ball at 28.3 m/s, with the center of the ball leaving the racquet horizontally 2.57 m above the court surface. The net is 12.0 m away and 0.900 m high. When the ball reaches the net, (a) what is the distance between the center of the ball and the top of the net? (b) Suppose that, instead, the ball is served as before but now it leaves the racquet at 5.00° below the horizontal. When the ball reaches the net, what now is the distance between the center of the ball and the top of the net? Enter a positive number if the ball clears the net. If the ball does not clear the net, your answer should be a negative number. Use g=9.81 m/s². (a) Number (b) Number Units Unitsarrow_forwardA projectile is fired from the ground level at an initial angle of 80° above the horizontal and travels 14 meters away (horizontal distance) from its starting position. (t is measured in seconds.) (a) Calculate its initial speed. Round your answer to the nearest tenth. (b) Calculate its maximum height above the ground level. Round your answer to the nearest tenth.arrow_forwardA projectile is launched from the roof of a 10 m high building. The projectile is launched with initial velocity %0 = 60 m/s and a shooting angle with respect to the horizontal 0 = 50° Find: a) The maximum height of the projectile. b) The time it takes for the projectile to reach the maximum height. c) The horizontal distance between the base of the building and the point where the projectile hits the ground. d) The time elapsed between when the projectile is fired and when it hits the ground.arrow_forward
- 8. You fire a ball with an initial speed of v at an angle o above the surface of an incline, which is itself inclined at an angle e above the horizontal. a) Find the distance, measured along the incline, from the launch point to the point when the ball strikes the incline. b) What angle o gives the maximum range, measured along the incline? Ignore air resistance.arrow_forward3. A cannon on Earth (located at the origin) launches a projectile, of mass m, horizontally at height y = 0 m with speed vo, as shown in the figure below: y (m) ↑ x (m) Fw There is a strong wind that imparts a force with constant magnitude Fw, in the negative x-direction, on the projectile as it is airborne. Voarrow_forwardA projectile is fired with initial speed 150 m/s and an angle of elevation 45° from a position 10 m above ground level. Where does the projectile hit the ground and with what speed? Solution If we place the origin at ground level, then the initial position of the projectile is (0, 10) and so we need to adjust the parametric equations of the trajectory by adding 10 to the expression for y. With v0 = 150 m/s, ? = 45°, and g = 9.8 m/s2, we have x = 150 cos ? 4 t = y = 10 + 150 sin ? 4 t − 1 2 (9.8)t2 = . Impact occurs when y = 0, that is 4.9t2 − 75 2 t − 10 = 0. Solving this quadratic equation (and using only the positive value of t), we get the following. (Round your answer to two decimal places.) t = 75 2 + 11,250 + 196 9.8 ≈ Then x ≈ 75 2 (21.74) ≈ (rounded to the nearest whole number), so the projectile hits the ground about…arrow_forward
- Engineering dynamics. Don't use Artificial intelligence tools.arrow_forwardGoro Shigeno (Pitcher) and Joe Gibson Jr. (hitter) went head to head in the Major League Baseball (MLB) series. For the last pitch, Gibson hits the baseball with 82 ft/s at angle of 75°. When the ball is directly above Shigeno he begins to run under it. Determine the (a) the total distance that the pitcher runs and (b) the constant speed at which pitcher must run in order to make the catch at the same elevation at which the ball was hit. (Note: the distance between the pitcher and hitter is 70 ft.)arrow_forwardA batter hits a pitched ball when the center of the ball is 1.26 m above the ground.The ball leaves the bat at an angle of 45° with the ground. With that launch, the ball should have a horizontal range (returning to the launch level) of 115 m. (a) Does the ball clear a 8.75-m-high fence that is 105 m horizontally from the launch point? (b) At the fence, what is the distance between the fence top and the ball center? (a) (b) Number Unitsarrow_forward
- A projectile is shot from the edge of a cliff with an initial speed of 150 m/s at an angle of 60.0° above the horizon. The cliff is located 125 m above the ground at the bottom of the cliff, which is a flat, featureless horizontal plane that extends as far as the eye can see.(a) Determine the time taken by the projectile to go from the cliff edge to the ground below the cliff. (b) Determine how far horizontally the projectile traveled from the base of the cliff. (c) Determine the velocity vector of the projectile just before it hits the ground at the bottom of the cliff. (d) Include a complete diagram of the situation.arrow_forwardA baseball player hits a home run, and the ball lands in the left-field seats, y = 7.70 m above the point at which it was hit. It lands with a velocity of v = 35.0 m/s at an angle of 28° below the horizontal (see the Figure). The positive directions are upward and to the right in the drawing. Ignorin air resistance, find (a) the magnitude and (b) the direction of the initial velocity with which the ball leaves the bat. +y voy 28° y=7.70m VOI v 35.0m/sarrow_forwardA projectile is fired from the ground (you can assume the initial height is the same as the ground) in a field so there are no obstacles in its way. It is fired at an angle of 37 degrees with respect to the horizontal and with an initial speed of 36 m/s. Air resistance is negligible in this situation. Call up the positive y direction, and toward the wall the positive x direction. Maximum height the projectile reaches: 23.948m Projectile speed at max height: 28.751m/s Earliest time when the height of the projectile is half of its maximum value: 0.648s The projectile is fired toward a wall that is a horizontal distance 106.6m from where the projectile was fired. What was the height of the projectile when it hit the wall?arrow_forward
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