00:01
Hi there, here we have to solve the following problem regarding the pinball machine.
00:05
So the spring of with a constant k, which is 666, 76 newtons per meter, is compressed by delta x of 0 .656 meters and the ball with a mass of 0 .5506 meters.
00:37
805 grams is initially at the rest beginning at point a so let's try to illustrate it unfortunately there is no picture so i have to draw it myself so let's presume that that is this bring so i'm drawing everything vertically vertical because again there is no picture attached so that's what i can do with a given with a given task.
01:09
So initially the spring is compressed and the ball is at the point a where its speed is zero.
01:22
Then the spring is released and the ball travels upwards to some point b, which is at the height of age above point a.
01:39
And this height equals to 0 .285 meters.
01:49
And we have to find the speed of the ball at point b.
01:55
Let's do this.
01:59
So, here we have to use a conservation of energy principle.
02:07
And namely, that is, conservation of the mechanical energy.
02:13
Initially, the spring, only the spring had a potential mechanical energy, which equals to k -al -x squared divided by 2...