The potential energy of spring when compressed by amount is
where k is the spring constant.
The gravitational potential energy of the ball at height h is
Given that when the spring was compressed by amount 13cm=0.13m, it pushes the ball to the height of 1m above the point of release.
Now, the spring is compressed by amount 19cm=0.19m. The kinetic energy that the spring can impart to the ball is
The ball is launched at speed 6.474m/s horizontally. The ball will undergo a projectile motion with an initial velocity of 6.474m/s in the horizontal direction. In projectile motion, the vertical motion is a uniformly accelerated motion governed by the kinematic's equations for uniformly accelerated motion. While the horizontal motion is constant velocity motion.
The initial vertical velocity of the ball is zero. The ball traveled 0.5m below the point of release before hitting the ground. To find the time t in which the ball reaches the ground from the point of release we use
Note that we take height as negative because it is below the ground and acceleration as negative because it points downwards.
The ball reaches the ground in 0.3193 seconds. The horizontal distance covered by the ball in this time is
Part A A small spring-loaded launcher is designed to fire steel ball bearings with masses of...
A small spring-loaded launcher is designed to fire steel ball bearings with masses of 0.28 kg . When setting the launcher, you compress the spring a distance of 13 cm . You then fire the launcher straight up and find that the projectiles reach a maximum height of 1.3 mm above the point that they leave the launcher. You load another ball bearing, compress the spring a distance of 20 cm, and place it horizontally at the edge of a...
A small spring-loaded launcher is designed to fire steel ball bearings with masses of 0.26 kg . When setting the launcher, you compress the spring a distance of 13 cm . You then fire the launcher straight up and find that the projectiles reach a maximum height of 1.2 m above the point that they leave the launcher. You load another ball bearing, compress the spring a distance of 16 cm , and place it horizontally at the edge of...
A small spring-loaded launcher is designed to fire steel ball bearings with masses of 0.3 kg . When setting the launcher, you compress the spring a distance of 14 cm . You then fire the launcher straight up and find that the projectiles reach a maximum height of 0.9 m above the point that they leave the launcher. You load another ball bearing, compress the spring a distance of 20 cm , and place it horizontally at the edge of...
A small spring-loaded launcher is designed to fire steel ball bearings with masses of 0.26 kg . When setting the launcher, you compress the spring a distance of 15 cm. You then fire the launcher straight up and find that the projectiles reach a maximum height of 1.3 mm above the point that they leave the launcher. You load another ball bearing, compress the spring a distance of 20 cm, and place it horizontally at the edge of a table...
1) a)You are asked to find the initial velocity of a steel ball from a spring loaded launcher. You place the launcher on the edge of a table 1.0 meter above the floor and launch the projectile several times horizontally. If you find that the average distance the ball travels is 1.3 meters, what is the initial velocity of the ball? To solve a problem like this, use equations for the y-motion to find the time and then the x-motion...
A spring launcher shoots a ping pong ball vertically up into the air near the edge of the lab table. The launcher is on a table top 75 cm above the floor, If the ping pong ball took 0.81 seconds from launch to hit the floor, what was the ball's initial speed in this case? Also, what is the greatest height reached by the ball, to the closest cm or m, with respect to the table top? d = d_0...
A spring-loaded launcher is used to shoot a ball of mass 1.50 kg straight up in the air, as shown in (Figure 1). The spring has spring constant k 667 N/m. If the spring is compressed a distance of 25.0 centimeters from its equilibrium position y = 0 and then released, the ball reaches a maximum height hmax (measured from the equilibrium position of the spring). There is no air resistance, and the ball never touches the inside of the...
...36 GO 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 table. The target box is hori- zontal distance D = 2.20 m Figure 8-48 Problem 36. from the edge of the table; see Fig. 8-48. Bobby compresses the spring 1.10 cm, but the center of the marble falls 27.0 cm short of the center of the box....
A pinball machine uses a spring to launch a small steel ball (m - 250 g) up the pinball machine so that you can play. The incline of most machines is around 15 degrees and this particular machine is 1 m long. If the ball is calibrated to be moving at 2 m/s at the top of the machine after being launched, and the plunder can depress a maximum of 5 cm, calculate the spring constant of this pinball launcher....
A 6.80-g steel ball is fired from a spring-loaded cannon. The spring (k = 50 N/m) is compressed 9.0 cm before launching the ball at a 45˚ angle. What is the velocity of the ball when launched? How far will it go? What is its kinetic energy at the top of its trajectory?