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ollegr [7]
3 years ago
8

Calculate how many Kilo-calories of food (CAL) consumed by a 163-lb man due to the force he applies during one repetition of a b

odyweight only (single leg squat) exercise that lifts 87% of his bodyweight through a controlled full-range of motion that measures 31" in both the down and up directions of the movement? Assume that the exercise takes place under comfortable conditions, and that only about 22% of all the potential energy stored in food is available for useful work, and that 1 ft-lb = 0.000324048 Kilocalories.
Physics
1 answer:
Lilit [14]3 years ago
7 0

Answer: the man consumed 0.539598 Kilo-calories of food

 

Explanation:

Given the data in the question;

first we calculate the work required to raise the given weight at the given height;

ΔW = mgh = w'h = (0.87) × h

= ( 0.87 × 163) × (31/12)ft     { 1 foot = 12 inch}

= 366.34 lb-ft

Now since 22% of all the potential energy stored in food is available for useful work;

ΔW = 0.22 × ΔPE

ΔPE = ΔW/0.22

we substitute

ΔPE = 366.34 / 0.22

= 1665.18 lb-ft

Now given that; 1 ft-lb = 0.000324048 Kilocalories

= 1665.18 × 0.000324048

= 0.539598 Kilo-calories

Therefore the man consumed 0.539598 Kilo-calories of food

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A 350-g mass is attached to a spring whose spring constant is 64 N/m. Its maximum acceleration is 5.3 m/s2. What is the frequenc
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The frequency of oscillation is 2.153 Hz

What is the frequency of spring?

Spring Frequency is the natural frequency of spring with a weight at the lower end. Spring is fixed from the upper end and the lower end is free.

For the mass-spring system in this problem,

The Frequency of spring is calculated with the equation:

f = \frac{1}{2\pi } \sqrt{\frac{k}{m} }

Where,

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a = maximum acceleration = 5.3 m/s^2

Substituting the values in the equation,

f = \frac{1}{2\pi } \sqrt{\frac{64}{0.350} }

f = \frac{1}{2\pi } ( 13.522)

f = 2.1535 Hz

Hence,

The frequency of oscillation is 2.153 Hz

Learn more about frequency here:

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A plane glides towards a ground-based radar dish. Radar locates the plane at a distance D = 22 km from the dish, at an angle θ =
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The correct answer is :

Unit vectors I and j along the x-axis and y-axis, respectively, define the Cartesian coordinate system. The radial unit vector r, which indicates the direction from the origin, and the unit vector t, which is orthogonal (perpendicular) to the radial direction, together create the polar coordinate system.

We can obtain the horizontal component by applying the trigonometric identity of Cos(Ф), and if we obtain the component on the x axle, such as 22000 (m)×Cos(51°) = x, we may determine that x = 13845.05 metres. We need to obtain the vector components because we already know the distance and the angle.

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Mr. Galonski loves to use the Electromagnetic Spectrum. Create a scenario in which Mr. Galonski is using waves from the electrom
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Answer:

The Scenario:

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There is a 50 g sample of Ra-229. It has a half-life of 4 minutes.
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Via half-life equation we have:


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Where the initial amount is 50 grams, half-life is 4 minutes, and time elapsed is 12 minutes.  By plugging those values in we get:

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