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WARRIOR [948]
3 years ago
5

an object that is 0.5 above ground has the same amount of potential energy as a spring that is stretched

Physics
1 answer:
Margarita [4]3 years ago
5 0

An object that is 0.5 above ground has the same amount of potential energy as a spring that is stretched

<em>√[ (object's mass x acceleration of gravity) / (spring's constant) ]</em> meters

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4. An object is thrown from from the ground upward with an initial speed of 3.75 m/s. How long will the object be in the air bef
Natali [406]

Answer:

Explanation:

There's an easy way to answer this and then an easier way. I'll do both since I'm not sure what you're doing this for: physics or calculus. Calculus is the easier way, btw.

Going with the physics version first, here's what we know:

a = -9.8 m/s/s

v₀ = 3.75 m/s

t = ??

That's not a whole lot...at least not enough to directly solve the problem. What we have to remember here is that at the max height of a parabolic path, the final velocity is 0. So we can add that to our info:

v = 0 m/s. Use the one-dimensional equation that utilizes all that info and allows us to solve for time:

v = v₀ +at and filling in:

0 = 3.75 + (-9.8)t and

-3.75 = -9.8t so

t = .38 seconds. This is how long it takes to get to its max height. Another thing we need to remember (which is why calculus is so much easier!) is that at the halfway point of a parabolic path (the max height), the object has traveled half the time it takes to make the whole trip. In other words, if .38 is how long it takes to go halfway, then 2(.38) is how long the whole trip takes:

2(.38) = .76 seconds. Now onto the calculus way:

The position function is

s(t)=-4.9t^2+3.75t The first derivative of this is the velocity function and, knowing that when the velocity is 0, the time is halfway gone, we will find the velocity function and then set it equal to 0 and solve for t:

v(t) = -9.8t + 3.75 and

0 = -9.8t + 3.75 and

-3.75 = -9.8t so

t = ,38 and multiply that by 2 to find the time the whole trip took:

2(.38) = .76 seconds.

6 0
3 years ago
Maureen is training for a backpacking trip. Which of the following training plans follows the FITT
lawyer [7]

Answer:

The answer is "Walk three days a week, gradually adding distance and hills."

Explanation:

The FITT Principle <u>guides a person in becoming a fitter version of himself by following a particular frequency, intensity, time and type of exercise in order to achieve his goals.</u>

<u>Frequency</u>- this refers to how often a person should do an exercise. For example, 5 times a week of intense core workout.

<u>Intensity</u>- this refers to the person's vigour or strength in doing the workout. This depends whether the person is doing a high-intensity or a low-intensity exercise.

<u>Time</u>- this refers to the length of a person's exercise. This will largely depend on every individual's fitness level.

<u>Type of Exercise</u>- this refers to the exercise that a person should incorporate in his training<u> in order to avoid injuries of using the same muscles over and over again.</u>

Among the choices above, it is only the second choice (Walk three days a week, gradually adding distance and hills) that follows the FITT principle. Walking shouldn't be kept at the same pace and distance for many weeks, since it results to<em> boredom and overuse injuries. </em>This will also lead to a plateau when it comes to people who are trying to lose weight because the body has already well-adjusted to the exercise and cannot be challenged anymore.

<em>Gradually increasing the distance and hills will allow the person to be more challenged </em>and<em> </em>will also increase his desire to workout (because he is seeing results).

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What factors determine the distance at which two atoms form a bond ?
dsp73

Answer:

The length of the bond is determined by the number of bonded electrons (the bond order). The higher the bond order, the stronger the pull between the two atoms and the shorter the bond length. Generally, the length of the bond between two atoms is approximately the sum of the covalent radii of the two atoms.

Explanation:

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Answer:

It should be 1,029.105 m³

But I think you can ignore the 105 because it essentially doesn't make a difference

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