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dolphi86 [110]
3 years ago
7

A book starts on a shelf 1 m off of the ground. You then move the book to a higher shelf that is 3 m off of the ground. If the s

ystem gained 20 J of gravitational potential energy, what is the mass of the book?
Physics
1 answer:
JulsSmile [24]3 years ago
4 0

Answer:

Using g = 9.8: 1.02 kg, Using g = 10: 1 kg

Explanation:

E = mgh

20 = m(9.8)(3 - 1)

20 = 9.8m(2)

20 = 19.6m

m = 1.02 kg

I'm now assuming you may be using a g constant of 10, thus the close integer result, in which case the mass would be exactly 1 kilogram.

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In your opinion, how can we increase a student’s understanding and respect for science?
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A spring with spring constant 15.5 N/m hangs from the ceiling. A ball is suspended from the spring and allowed to come to rest.
Aloiza [94]

Answer:

A) 138.8g

B)73.97 cm/s

Explanation:

K = 15.5 Kn/m

A = 7 cm

N = 37 oscillations

tn = 20 seconds

A) In harmonic motion, we know that;

ω² = k/m and m = k/ω²

Also, angular frequency (ω) = 2π/T

Now, T is the time it takes to complete one oscillation.

So from the question, we can calculate T as;

T = 22/37.

Thus ;

ω = 2π/(22/37) = 10.5672

So,mass of ball (m) = k/ω² = 15.5/10.5672² = 0.1388kg or 138.8g

B) In simple harmonic motion, velocity is given as;

v(t) = vmax Sin (ωt + Φ)

It is from the derivative of;

v(t) = -Aω Sin (ωt + Φ)

So comparing the two equations of v(t), we can see that ;

vmax = Aω

Vmax = 7 x 10.5672 = 73.97 cm/s

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3 years ago
The table below shows data of sprints of animals that traveled 75 meters. At each distance marker, the animals' times were recor
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Based on its surface temperature of 6,000 K, most photons that leave the Sun's surface lie in which region of the electromagneti
Fiesta28 [93]

Answer:

C) Visible

Explanation:

The electromagnetic (EM) spectrum is the range of all types of electromagnetic radiation. The types of electromagnetic radiation that make up the electromagnetic spectrum are radio waves, microwaves, infrared light, visible, ultraviolet light, X-rays and gamma-rays.

<u>Region </u>             <u>Wavelength</u>

Radio                >0.1 cm

Infrared              7000 Â to 0.1 cm

Visible               4000 to 7000 Â

Ultraviolet         100 to 4000 Â

X-ray                  0.1 to 100 Â

Gamma ray        <0.1 Â

Most electromagnetic radiation from space is unable to reach the surface of the Earth. Earth's atmosphere is opaque to most wavelengths expect those in the visible part of the spectrum and in some parts of the radio.

From Wein's Law, the black-body radiation curve for different temperatures will peak at different wavelengths that are inversely proportional to the temperature.

                      λ_{max} = \frac{b}{T}

Where,

λ_{max} is the maximum wavelength

b is Wien's displacement constant = 2.9 × 10⁻³ Km = 0.290 Kcm

T is the absolute temperature in kelvins

                     λ_{max} = \frac{0.290 Kcm}{6000}

                     λ_{max} = 4.83 × 10⁻⁵ cm

                    λ_{max} = 4830 Â

This wavelength 4830 Â lies in the visible region of the Electromagnetic spectrum.

3 0
3 years ago
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