Measuring Height to Calculate Froghopper Jump Height

In summary, the froghopper insect is known to be the best jumper in the animal kingdom, with an acceleration of 4400 m/s2 over a distance of 2.0 mm. Assuming uniform acceleration, the velocity of the insect after this distance is 4.19 m/s and it takes 0.952 milliseconds to reach that velocity. If air resistance is ignored, the bug would jump approximately 0.7 m, but in reality, air resistance plays a significant role in limiting its jump height. The bug will decelerate due to gravitational attraction once it leaves the ground. The equation v^2=v0^2+2ax can be used to calculate the jump height.
  • #1
parwana
182
0
help with part b

It has been claimed that an insect called the froghopper (Philaenus spumarius) is the best jumper in the animal kingdom. This insect can accelerate at 4400 m/s2 over a distance of 2.0 mm as it straightens its specially designed "jumping legs."

I got this right

(a) Assuming a uniform acceleration, what is the velocity of the insect after it has accelerated through this short distance, and how long did it take to reach that velocity?
velocity 4.19 m/s
elapsed time .952 ms




(b) How high would the insect jump if air resistance could be ignored? Note that the actual height obtained is about 0.7 m, so air resistance is important here.

I don't know what to for part b

should I plug into the equation v^2= v0^2 + 2ax?

or what? Its driving me insane
 
Physics news on Phys.org
  • #2
is the bug jumping verticaly?
 
  • #3
Once the bug leaves the ground gravity takes over and he will start to delcelarate due to gravitational attraction. That is it cannot accelerate itself any more since it cannot push against the surface. So it will decelerate at a rate of g. Your choice of equation will therefore do just fine. But maybe you should replace the x with a y (joking).
 

1. What is the purpose of measuring height to calculate froghopper jump height?

The purpose of measuring height to calculate froghopper jump height is to understand the physical capabilities and abilities of these insects. It can also help in studying their behavior and how they are adapted to their environment.

2. What equipment is needed to measure the height of a froghopper jump?

The equipment needed to measure the height of a froghopper jump includes a ruler or measuring tape, a flat surface to conduct the experiment on, and a camera or timer to accurately record the jump height.

3. How is the height of a froghopper jump measured?

The height of a froghopper jump is measured by placing the insect on a flat surface, such as a piece of paper, and then gently prodding it to jump. The jump distance is then measured from the starting point to the highest point reached by the froghopper.

4. What factors can affect the accuracy of measuring froghopper jump height?

There are several factors that can affect the accuracy of measuring froghopper jump height, including the accuracy of the measuring equipment, the consistency of the flat surface used, and the level of force used to prod the insect to jump.

5. How can measuring froghopper jump height contribute to scientific research?

Measuring froghopper jump height can contribute to scientific research by providing insights into the physical abilities of these insects and how they have evolved to survive in their environment. It can also aid in understanding the mechanics of jumping and how it relates to other physiological processes.

Similar threads

  • Introductory Physics Homework Help
Replies
2
Views
14K
  • Introductory Physics Homework Help
Replies
30
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
6
Views
1K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
9
Views
2K
  • Introductory Physics Homework Help
Replies
7
Views
7K
  • Introductory Physics Homework Help
Replies
4
Views
2K
  • Introductory Physics Homework Help
Replies
5
Views
2K
  • Introductory Physics Homework Help
Replies
26
Views
4K
Back
Top