In the Figure below two children are playing a game in which they try to hit a small box on the floor with a marble fired from a spring-loaded gun that is mounted on a frictionless table. The target box is 2.2 m horizontally from the edge of the table. Bobby compresses the spring 0.011 m, but the center of the marble falls 0.27 m short of the center of the box (in other words, the ball only travels horizontally a distance of 1.93 m). How far should Rhoda compress the spring to score a direct hit? Answer: 0.0125 m

In the Figure below two children are playing a game in which they try to hit a small box on the floor with a marble fired from a spring-loaded gun that is mounted on a frictionless table. The target box is 2.2 m horizontally from the edge of the table. Bobby compresses the spring 0.011 m, but the center of the marble falls 0.27 m short of the center of the box (in other words, the ball only travels horizontally a distance of 1.93 m). How far should Rhoda compress the spring to score a direct hit? Answer: 0.0125 m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

In the figure, block 2 (mass 1.20 kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 247 N/m. The other end of the spring is fixed to a wall. Block 1 (mass 1.40 kg), traveling at speed v₁ = 3.30 m/s, collides with block 2, and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed? 200000 Number i Units
In the figure, block 2 (mass 1.10 kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 216 N/m. The other end of the spring is fixed to a wall. Block 1 (mass 1.80 kg), traveling at speed v1 = 5.90 m/s, collides with block 2, and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed?
A small ball of mass mb = 0.050 kg is projected into a pendulum of mass Mp = 0.200 kg in a ballistic pendulum experiment. How fast does the ball need to go in order to get the pendulum to swing up to a height of h = 0.25 m above its original position? 2.21 m/s 0.111 m/s 11.1 m/s 0.553 m/s
Fred is using a slingshot (basically a big rubber band connected to a stick) to shoot a 182 g rock at a target. If the slingshot has a "spring constant" of 52 N/m and Fred pulls it back 42 cm. How fast will the rock leave the slingshot?
A block of mass m = 3.00 kg situated on an incline at an angle of 8 = 38.0° is connected to a spring of negligible mass having a spring constant of 100 N/m (Fig. P8.54). The pulley and incline are frictionless. The block is released from rest with the spring initially unstretched. k= 100 N/m ww (a) How far does it move down the frictionless incline before coming to rest? m (b) What is its acceleration at its lowest point? Magnitude Direction 8 m/s² O up the incline O down the incline
A projectile is fired towards a material that it was able to penetrate with ease. It took the projectile 18023 μs to penetrate the material. Measurement shows that the initial kinetic energy of the projectile is 5622.144 J at the velocity of 242 m/s. Exit velocity of the projectile from the material shows that the velocity at 86 m/s. A deviation of 0.71558499331768 rad in the trajectory below the horizontal was plotted based on analysis of the projectile's flight path. What is the magnitude of force that affected the projectile's motion?
In the figure, block 2 (mass 1.90 kg) is at rest on a frictionless surface and touching the end of an unstretched spring of spring constant 138 N/m. The other end of the spring is fixed to a wall. Block 1 (mass 1.80 kg), traveling at speed v₁ = 4.80 m/s, collides with block 2, and the two blocks stick together. When the blocks momentarily stop, by what distance is the spring compressed? 200000 Number i Units
B9
Problem 6: A space vehicle of mass m=300 kg has a speed v=1000 m/s along the positive x-direction. At some instant, it separates into two pieces, with mass m1=100 kg and m2=200 kg. The first piece moves with a speed of 600 m/s at an angle of 300 relative to the x-axis. (a) The speed of the second piece is ________ (b) The kinetic energy of the second piece after the explosion is __________
QIIII: A thin uniform rod of mass Mr and length L is suspended from the ceiling and mounted on a horizontal frictionless axle at the top. The rod is initially at rest in its equilibrium position when a ball of play dough, of mass mb, strikes the rod at its lower end and remains stuck to the rod. The sticky ball is thrown with an initial speed v0 at a 60 degree angle from the horizontal direction, and strikes the rod when it reaches the top of its trajectory, as shown in Fig.4. The acceleration due to gravity has magnitude g and air resistance is negligible. a. Determine the velocity of the ball of play dough right before it sticks to the rod. Use the x- y coordinate system defined in Fig.4. b. Determine the angular velocity of the rod+ball system right after the collision. Take counterclockwise as positive. c. - Establish the differential equation satisfied by the rod+ball system after the collision and determine the angular frequency of the system. You may assume that the small…
A rocket motor is undergoing a "bench test." It is attached to a fixed support by four large springs of constant 10^6 N/m. The motor burns fuel at a rate of 50 kg/s. When the motor is running the springs are observed to stretch 1.5 cm. Determine the exhaust speed of the burned fuel.
A spring with a force constant of 12 N/m rests horizontally on a table and projects balls with a mass of 8.3 × 10-3 kg towards targets placed on the ground 93 cm below. If the spring is compressed by 4.0 cm, how far does the ball travel horizontally before it hits the ground?