The froghopper (Philaenus spumarius), the champion leaper of the insect world, has a mass of 12.3 mg and leaves the ground (in the most energetic jumps) at 4.0 m/s from a vertical start. The jump itself lasts a mere 1.0 ms before the insect is clear of the ground. Assuming constant acceleration, draw a free-body diagram of this mighty leaper during the jump.

The froghopper, $\it{Philaenus~spumarius}$, holds the world record for insect jumps. When leaping at an angle of $58.0\degree$ above the horizontal, some of the tiny critters have reached a maximum height of $58.7$ cm above the level ground.
(b) What horizontal distance did the froghopper cover for this world-record leap?

The froghopper (Philaenus spumarius), the champion leaper of the insect world, has a mass of 12.3 mg and leaves the ground (in the most energetic jumps) at 4.0 m/s from a vertical start. The jump itself lasts a mere 1.0 ms before the insect is clear of the ground. Assuming constant acceleration, find the force that the ground exerts on the frog-hopper during the jump.

The froghopper Philaenus spumarius is supposedly the best jumper in the animal kingdom. To start a jump, this insect can accelerate at $4.00 \mathrm{km} / \mathrm{s}^{2}$ over a distance of 2.00 mm as it straightens its specially adapted "jumping legs." Assume the acceleration is constant. (a) Find the upward velocity with which the insect takes off. (b) In what time interval does it reach this velocity? (c) How high would the insect jump if air resistance were negligible? The actual height it reaches is about 70 cm, so air resistance must be a noticeable force on the leaping froghopper.

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 4 000 m/s$^2$ over a distance of 2.0 mm as it straightens its specially designed “ jumping legs.” 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.

Froghoppers may be the insect jumping champs. These $6-\mathrm{mm}-$long bugs can spring $70 \mathrm{cm}$ into the air, about the same distance as the flea. But the froghopper is $60$ times more massive than a flea, at $12 \mathrm{mg}$.The froghopper pushes off for about $4 \mathrm{mm}$.What average force does it exert on the surface? Compare this to the gravitational force that Earth exerts on the bug.

A 6kg bucket of water is being pulled straight up by a string at a constant speed. I determined that the tension on the string was F = ma F = (6kg * 9.8 m/s2) , F = 58.8 N Now its asking At a certain point the speed of the bucket begins to change. The bucket now has an upward constant acceleration of magnitude 3 m/s2. What is the tension in the rope now? The correct answer was "about 78N" then Now assume that the bucket has a downward acceleration, with a constant acceleration of magnitude3 m/s2. Now what is the tension in the rope?

A remote-controlled car is moving in a vacant parking lot. The velocity of the car as a function of time is given by $\vec { v } = \left[ 5.00 \mathrm { m } / \mathrm { s } - \left( 0.0180 \mathrm { m } / \mathrm { s } ^ { 3 } \right) t ^ { 2 } \right] \hat { \imath } + \left[ 2.00 \mathrm { m } / \mathrm { s } + \left( 0.550 \mathrm { m } / \mathrm { s } ^ { 2 } \right) t \right] \hat { j }$

What are $\mathrm { a } _ { \mathrm { x } } ( \mathrm { t } )$ and $a _ { y } ( t )$, the x- and y-components of the car’s velocity as functions of time?

In 2016, taxicabs in Los Angeles charged an initial fee of $2.85 plus$2.70 per mile. In equation form, Fare = 2.85 + 2.7(miles). At the end of a month, a businessman collects all his taxicab receipts and calculates some numerical summaries. The mean fare he paid was $15.45 with a standard deviation of$10.20. What are the mean and standard deviation of the lengths of his cab rides in miles?

A cannon, located 60.0 m from the base of a vertical 25.0-m-tall cliff, shoots a 15-kg shell at $43.0^{\circ}$ above the horizontal toward the cliff. (a) What must the minimum muzzle velocity be for the shell to clear the top of the cliff? (b) The ground at the top of the cliff is level, with a constant elevation of 25.0 m above the cannon. Under the conditions of part (a), how far does the shell land past the edge of the cliff?

By approximately how much does your gravitational potential energy change when you jump as high as you can?

Design a "bungee jump" apparatus for adults. A bungee jumper falls from a high platform with two elastic cords tied to the ankles. The jumper falls freely for a while, with the cords slack. Then the jumper falls an additional distance with the cords increasingly tense. You have cords that are 10 m long, and these cords stretch in the jump an additional 24 m for a jumper whose mass is 80 kg, the heaviest adult you will allow to use your bungee jump (heavier customers would hit the ground). You can neglect air resistance. What is the jumper's speed at the instant when there is the greatest tension in the cords?

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 4 000 m/s$^2$ over a distance of 2.0 mm as it straightens its specially designed “ jumping legs.” Assuming a uniform acceleration, what is the velocity of the insect after it has accelerated through this short distance.

Create a dictionary with at least 10 menu terms. Include pronunciation guides for unfamiliar terms. Note whether the term gives clues to the nutrient or calorie content.