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boyakko [2]
3 years ago
10

a solid sphere is rolling without slipping along a horizontal surface with a speed of 5.5 meters per second when it starts up a

ramp that makes an angle of 25 degrees with the horizontal what is the speed of the sphere after it has Road 3M up the ramp​
Physics
1 answer:
iVinArrow [24]3 years ago
8 0

Answer:

3.53 m/s

Explanation:

KE₁ + RE₁ = KE₂ + RE₂ + PE

½ mv₁² + ½ Iω₁² = ½ mv₂² + ½ Iω₂² + mgh

For a solid sphere, I = ⅖ mr²

½ mv₁² + ½ (⅖ mr²) ω₁² = ½ mv₂² + ½ (⅖ mr²) ω₂² + mgh

½ mv₁² + ⅕ mr² ω₁² = ½ mv₂² + ⅕ mr² ω₂² + mgh

Rolling without slipping means v = ωr.

½ mv₁² + ⅕ mv₁² = ½ mv₂² + ⅕ mv₂² + mgh

⁷/₁₀ mv₁² = ⁷/₁₀ mv₂² + mgh

⁷/₁₀ v₁² = ⁷/₁₀ v₂² + gh

Substitute:

⁷/₁₀ (5.50 m/s)² = ⁷/₁₀ v₂² + (9.8 m/s²) (3.00 m sin 25.0°)

v₂ = 3.53 m/s

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The temperature and time t given in hours from 0 to 24 after midnight in downtown mathville is given by t=10-5 sin(pi/12 t) degr
Dvinal [7]

Answer:

T_A_v_g=9.918192559$^{\circ}C

Explanation:

The problem tell us that the temperature as function of time in downtown mathville is given by:

T(t)=10-5*sin(\frac{\pi}{12t})

The average temperature over a given interval can be calculated as:

T_a_v_g=\frac{T_o+T_f}{2}

Where:

T_o=Initial\hspace{3}temperature\\T_f=Final\hspace{3}temperature

So, the initial temperature in this case, would be the temperature at noon, and the final temperature would be the temperature at midnight:

Therefore:

T_o=T(12)=10-5*sin(\frac{\pi}{12*12}) =9.890925575$^{\circ}C

T_f=T(24)=10-5*sin(\frac{\pi}{12*24}) =9.945459543$^{\circ}C

Hence, the average temperature between noon and midnight is:

T_A_v_g=\frac{9.890925575+9.945459543}{2}=9.918192559$^{\circ}C

3 0
3 years ago
Which statements about a neutral atom are correct? Select all that apply. (1) A neutral atom is composed of both positively and
Bad White [126]

Answer:

(3) The electrons are attracted to the positively charged nucleus.

(4) Positively charged protons are located in the tiny, massive nucleus.

(6) The negatively charged electrons are spread out in a "cloud" around the nucleus.

Explanation:

An atom is the basic particle in which a matter is formed. It can either be charged or neutral. When it losses or gains an extra electron, it becomes charged, an ion. While a neutral atom is an atom which has no charge, because it has the same number of electrons and protons. The protons are located in the tiny massive nucleus of the atom, while the electrons are in orbits or cloud around the nucleus.

7 0
4 years ago
The Canadian bobsled team hit the brakes on the sled they are traveling East in so that it decelerates at a rate of 0.43
mafiozo [28]

Answer:

Explanation:

85 = ½(0.43)t²

t = √(2(85)/0.43)

t = 19.883380...

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v→ 8.55 m/s initial, 0 m/s final

a← 0.43 m/s²

8 0
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What type of telescope can be used routinely on the surface of the earth during the day?
nlexa [21]

Answer:

Radio telescopes .

Explanation:

They have a modest size that can't make out as much detail (have a lower resolution) than visible light telescopes

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1. if i start with 48 ml of water in a graduated cylinder, after submerging an object the water level rises to 63 ml, what is th
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1.
63-48
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2. 43 -36
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