Concept explainers
Antlion larvae lie in wait for prey at the bottom of a conical pit about 5.0 cm deep and 3.8 cm in radius. When a small insect ventures into the pit, it slides to the bottom and is seized by the antlion. If the prey attempts to escape, the antlion rapidly launches grains of sand at the prey, either knocking it down or causing a small avalanche that returns the prey to the bottom of the pit. Suppose an antlion launches grains of sand at an angle of 72° above the horizon. Find the launch speed v0 required to hit a target at the top of the pit, 5.0 cm above and 3.8 cm to the right of the antlion.
Trending nowThis is a popular solution!
Chapter 3 Solutions
College Physics
Additional Science Textbook Solutions
Laboratory Experiments in Microbiology (12th Edition) (What's New in Microbiology)
Applications and Investigations in Earth Science (9th Edition)
Genetics: From Genes to Genomes
Chemistry & Chemical Reactivity
Fundamentals Of Thermodynamics
- You are part of a car accident investigative team, looking into a case where a car drove off a bridge. You are using the lab projectile launcher to simulate the accident and to test your mathematical model (an equation that applies to the situation) before you apply the model to the accident data. We are assuming we can treat the car as a projectile.arrow_forwardThe vector position of a 3.65 g particle moving in the xy plane varies in time according to r1 = (3î + 3ĵ)t + 2ĵt2 where t is in seconds and r is in centimeters. At the same time, the vector position of a 5.45 g particle varies as r2 = 3î − 2ît2 − 6ĵt.arrow_forwardA mortar is like a small cannon that launches shells at steep angles. A mortar crew is positioned near the top of a steep hill. Enemy forces are charging up the hill and it is necessary for the crew to spring into action. Angling the mortar at an angle of 0 65.0° (as shown), the crew fires the shell at a muzzle velocity of 148 ft/s. How far d down the hill does the shell strike if the hill d subtends an angle o = 37.0° from the horizontal? Ignore air friction. d = How long will the mortar shell remain in the air? time: S How fast will the shell be traveling when it hits the ground? speed: m/sarrow_forward
- You need to get into your fourth-floor apartment, but you have forgotten your key to the main ground floor door of the building. You call up to your lazy roommate to come down and let you in, but he says he will throw the keys down to you instead. The window that he throws the keys out of is 13 meters above the ground, and he chucks them with a speed of 2m/s at an angle of 20 degrees above horizontal. The acceleration due to gravity near the surface of earth is 9.8 m/s?. How far back from the window do you need to stand to catch the keys?arrow_forwardTwo identical objects with the same initial speed collide and stick together. If the composite object moves with half the initial speed of either object, what was the angle between the initial velocities? 20° O 30° 450 60° 120°arrow_forwardWhen serving, a beach volleyball player strikes the volleyball (mass = 265 g) at a height of 2.4 metres above the ground. The ball follows the standard path of a projectile, first rising as it passes over the net, and then descending. The opponent receives the volleyball 1.1 seconds later at the same height (2.4 metres above the ground), and at a horizontal distance of 13.5 metres from the server. Answer the following questions assuming there is no effect of air resistance. When the ball was received by the opponent, the horizontal component of velocity (in m/s) was? The vertical component of velocity at take-off and impact (in m/s) can be solved by recognizing that the vertical component of velocity at the point of maximum height in the trajectory of motion is (in m/s)?arrow_forward
- A fire hose near the field blasts water at a speed of 6.5 m/s. At what angle(s) of the nozzle will allow the water to land 2.5 m away?arrow_forwardA small block has a horizontal velocity of 4.00 m/s as it slides off the edge of a table. The table is a vertical distance of 0.85 m above the floor. If g = 9.80 m/s2, how far does the block travel horizontally while it is in the air?arrow_forwardIn a very popular lecture demonstration, a projectile is fired at a falling target in such a way that the projectile leaves the gun at the same time the target is dropped from rest, as in the Figure. Let us show that if the gun is initially aimed at the target, the projectile will hit the target. Target t = 0 ½gt? Xr tan 00 Point of collision Ут Gun XT Line of sightarrow_forward
- POST TEST: A projectile is fired with a speed of v = 60 m/s at an angle of 60°. A second projectile is then fired with the same speed 0.5 s later. Determine the angle 0 of the second projectile so that the two projectiles collide. At what position (x, y) will this happen? v = 60 m/s 60 v = 60 m/sarrow_forwardAs part of an obstacle course, an athlete must kick a soccer ball into a 1 meter wide and 10 meter deep pit such that the ball hits a target at the bottom of the pit. In practice, a dynamics student that is participating in the race kicks the soccer ball such that the soccer ball will bounce off the far wall of the pit 5 meters below the surface and head towards the target. If the velocity of the ball before striking the wall at point A is v A = 3.02 – 103 m, determine the n-component of the ball's velocity vector (in m) after striking the wall. The size of the ball and the target are negligible relative to the dimensions of the pit, the gravity acceleration must be considered as 10 m and the coefficient of restitution at point A is e = 0.45. 5 т A 10 m 1marrow_forwardA coin slides off the edge of a horizontal table with an initial velocity of 4 m/s horizontally and experiences no significant air resistance. The height of the table above the ground is 1.8 m. What is the magnitude of the vertical component of the velocity of the puck just before it hits the ground? 8.65 m/s 24 m/s 5.94 m/s 12.62 m/s O O O Oarrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning