Yes, the improve in the y situation is detrimental, given that the object is going down. All that’s remaining is the time. I seemed at the portion of the online video with the dropped watermelons. Some of the shots are in slow motion, but some look to be in regular time. I can get the slide time from those people shots.
You could attempt to use the time stamp on YouTube to do this, but it is really not detailed sufficient. I like to use the Tracker online video investigation tool—it’s my go-to for this sort of factor (and it is really free of charge). From that, I get a slide time of two.749 seconds. Plugging that into the equation over, I get a slide height of 37. meters (121.5 ft). Boom, that’s one particular dilemma solved.
two. What is the effect velocity?
If you drop an object from rest (i.e., zero original velocity), how quick will it be traveling suitable right before it hits the trampoline? Oh, you considered I was likely to reply this dilemma much too? Nope. Basically, this one’s not much too challenging. You can use the time and the definition of acceleration to obtain this reply. You can do it. I believe in you.
3. What’s the productive spring consistent?
Let’s walk via this complete motion. The motor vehicle drops. Though falling, the gravitational force pulls on it, triggering it to pace up, far more and far more, until it contacts the trampoline. At this level, the springs on the trampoline stretch and produce an upward pushing force on the motor vehicle. The farther the springs stretch, the increased the upward pushing force.
Try to remember that in purchase for an object to slow down, there needs to be a internet force pushing in the reverse direction as the motion. When the motor vehicle very first hits the trampoline, the backwards pushing force is Less than gravity, so the internet force is even now downward, and the motor vehicle retains rushing up. This is some thing that students are likely not to have a fantastic intuition for. Try to remember, it is really the internet force that determines acceleration.
It is not till the spring force becomes increased than the downward pushing gravity force that the motor vehicle begins slowing down. Of study course, it is really even now going down, so the springs stretch even far more, and this improves the spring force. Ultimately the motor vehicle stops falling and begins going back up.
Now, how can we quantify that? 1 way to product the force from a spring is with Hooke’s regulation. This says that the spring force (Fs) is proportional to the length (s) that the spring stretches or compresses. This proportionality consistent is known as the spring consistent, k. You can assume of k as the stiffness of the spring.