Concept explainers
The small archerfish (length 20 to 25 cm) lives in brackish waters of Southeast Asia from India to the Philippines. This aptly named creature captures its prey by shooting a stream of water drops at an insect, either flying or at rest. The bug falls into the water and the fish gobbles it up. The archerfish has high accuracy at distances of 1.2 m to 1.5 m, and it sometimes makes hits at distances up to 3.5 m. A groove in the roof of its mouth, along with a curled tongue, forms a tube that enables the fish to impart high velocity to the water in its mouth when it suddenly closes its gill flaps. Suppose the archerfish shoots at a target that is 2.00 m away, measured along a line at an angle of 30.0° above the horizontal. With what velocity must the water stream be launched if it is not to drop more than 3.00 cm vertically on its path to the target?
Trending nowThis is a popular solution!
Chapter 3 Solutions
Principles of Physics: A Calculus-Based Text
- A pebble rolls off the roof of Science Hall and falls vertically. Just before it reaches the ground, the pebble's speed is 17 m/s. Neglect air resistance and determine the height of Science Hall.arrow_forwardA small rocket is launched straight up. When at a height of 5.0km and velocity of 200.0m/s, it releases its booster and enters free fall. Neglecting air friction, what is the velocity of the rocket at a height of 6.0km on its way up? 143m/s 200m/s 244m/s 397m/sarrow_forwardFor a forensics experiment, a student decides to measure the muzzle velocity of the pellets from his BB gun. She points the gun horizontally. On a vertical wall a distance 47.3 m away from the gun, a target is placed. The shots hit the target a vertical distance 0.10 m below the gun's barrel. What is the initial speed of the pellets? Your Answer: units Answerarrow_forward
- Your brother slides his glass of milk horizontally at a speed m of 0.8 at a frictionless table which is 1.3 m tall. You tried to catch it but missed such that the glass followed a curved path before it crashed on the floor. How far away from the edge of the table did the glass hit the floor?arrow_forwardA physics student performed a projectile experiment. She mentioned that as the initial angle of the projectile increases from 0 to 450, the range also increases (claim 1). Maximum range is attained at 450 (claim 2). As the initial angle increases above 450, the range of the projectile decreases (claim 3). She was able to verify the first claim in her experiment. Your task is to prove claim 1, 2 and 3 mathematically.arrow_forwardFor the first part of the problem I got the velocity to be 3.77m/s which I think is correct. The second part I am a bit confused with. From what I think it would be Ki=Kf+Ugf (1/2)(5)(3.77)=(1/2)(5)(?vf?)+(5)(9.8)(H) I want to find the H but I feel I also need the Vf. Would the Vf be 0 because it is at rest at the highest point? but wouldnt it still have a forward velocity. Does that mean I have to split up everything into X and Y components?arrow_forward
- Fig. 4 shows a ball sent along a massmA-constantka which was sent from sending to position. After being released, ball A collides with B. The balls do not roll. (Data: mA=12kg,mB=2kg,xi=0.5mek=2N.m -1 (a) The velocity of ball A when it meets B. (b) The velocities of the balls after they collide. (c) What is the maximum height of ball B after going up the ramp? (d) What is the compression of the spring? after the ball to return?arrow_forwardWhat is the range in meters of a projectile launched at an angle of θ1 = 78.3° with an initial speed of 58 m/s?arrow_forwardOn a windy day, Jenn and Frank accidently get their kite caught in a tree. The kite is stuck 5.0 meters above the ground. Frank finds a kickball and gives it to Jenn to throw up at the kite to knock it down. In order to see the kite, Jenn stands 3.0 meters from the base of the tree. She throws the ball from an initial height of 1.6 meters. The ball reaches a maximum height of 6.0 meters before falling and hitting the kite from above, successfully knocking the kite out of the tree. At what angle did she throw the ball?arrow_forward
- Three archers each fire four arrows at a target. Joe’s four arrows hit points that are spread around in a region that goes 10 cm above, 10 cm below, 10 cm to the left, and 10 cm to the right of the center of the target. All four of Moe’s arrows hit within 1 cm of a point 20 cm from the center, and Flo’s four arrows hit within 1 cm of the center. The contest judge says that one of the archers is precise but not accurate, another archer is accurate but not precise, and the third archer is both accurate and precise. Which description applies to which archer? Explain.arrow_forwardA monkey escapes from a zoo and climbs a tree to a height h = 4.00 m. Since she is unable to attract him, the caretaker aims her rifle with a sedative dart directly at the monkey and fires the dart with a speed of vd = 20.00 m/s (see figure). The cunning monkey is released the instant the dart leaves the barrel of the rifle, trying to fall to the ground and escape The caretaker is at d = 10.0 m from the base of the tree. Find the height of the monkey when the sedative dart penetrates the monkey's skin.arrow_forwardVectors u = −10i + 3j and v = −7i − 9j. What is u − v? a −17i − 6j b 17i + 6j c 3i − 12j d −3i + 12jarrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning