Problem 1: A toy cannon launches pellets (projectiles) at a muzzle velocity vo=7m/s. Gravity acceleration is g=-9.8m/s². The angle of inclination at which the cannon launches the projectiles (hereafter denoted α) can be controlled. Assume that the target (a small paper boat) is placed at the maximum distance that the cannon can reach and that the angle a is chosen precisely so that the range is maximum (see Figure below), then calculate: a) The time it takes for the projectile from exiting the cannon to impact with the ship. Option A: 1.01 s Option B: 12.00 s Option C: 3.33 s Option D: 0.25 s b) The distance the ship is from the cannon. Option A: 1 m Option B: 5 m Option C: 0.5 m Option D: 12 m c) The maximum height, h, that the projectile reaches, i.e. the apex Option A: 1.25 m Option B: 5m Option C: 0.5 m Option D: 3 m d) The time it takes for the projectile to reach the maximum height. Option A: 2 s Option B: 0.51 s Option C: 1 s Option D: 3.33 s e) The velocity vector at the moment the projectile is at the apex. Option A: 121 m/s Option B: (0, 0) m/s Option C: (2.45 m/s, 2.45 m/s) Option D: (4.95 m/s, 0)
Problem 1: A toy cannon launches pellets (projectiles) at a muzzle velocity vo=7m/s. Gravity acceleration is g=-9.8m/s². The angle of inclination at which the cannon launches the projectiles (hereafter denoted α) can be controlled. Assume that the target (a small paper boat) is placed at the maximum distance that the cannon can reach and that the angle a is chosen precisely so that the range is maximum (see Figure below), then calculate: a) The time it takes for the projectile from exiting the cannon to impact with the ship. Option A: 1.01 s Option B: 12.00 s Option C: 3.33 s Option D: 0.25 s b) The distance the ship is from the cannon. Option A: 1 m Option B: 5 m Option C: 0.5 m Option D: 12 m c) The maximum height, h, that the projectile reaches, i.e. the apex Option A: 1.25 m Option B: 5m Option C: 0.5 m Option D: 3 m d) The time it takes for the projectile to reach the maximum height. Option A: 2 s Option B: 0.51 s Option C: 1 s Option D: 3.33 s e) The velocity vector at the moment the projectile is at the apex. Option A: 121 m/s Option B: (0, 0) m/s Option C: (2.45 m/s, 2.45 m/s) Option D: (4.95 m/s, 0)
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter4: Motion In Two And Three Dimensions
Section: Chapter Questions
Problem 56P: Olympus Mons on Mars is the largest volcano in the solar system, at a height of 25 km and with a...
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