Well, there isn't the most renewable source but there are sources that are renewable, like solar energy.
At the top of the circular motion, both weight and tension provides for centripetal force.
By Newton’s Second Law,
Fnet = ma
mg + T = mv^2/r (since a = v^2/r and weight = mg)
For toy to continue moving in circle at the top,
T > 0
mv^2/r - mg > 0
v >root (gr)
Hence, minimum speed toy must have is 2.80 m/s. Since linear velocity is lower than the minimum linear velocity, the toy will not move in circular motion.
b) Tension at top = mv^2/r - mg
= (0.15)(3.5)^2/0.8 - (0.15)(9.81)
= 0.825 N
Tension at bottom = mv^2/r + mg
= (0.15)(3.5)^2/0.8 + (0.15)(9.81)
= 3.77 N
In the middle, only Tension provides for centripetal force. Hence,
Tension = mv^2/r
= (0.15)(3.5)^2/0.8
= 2.30 N
Answer:
Ft = - 23.99 10₁₉₉9 N
Explanation:
In this exercise we will use the law of universal gravitation
F = G m₁ M₂ / r²
With Newton's second law we get
Ft = F1 - F2
Where F1 is the force of attraction between the moon and the Earth
F1 = G m₁ M₂ / r²
F1 = 6.67 10⁻¹¹ 7.36 10²² 5.98 10²⁴ /(3.84 10⁸)²
F1 = 19,909 10¹⁹ N
Let's calculate the force of attraction between the Sun and the moon (F2)
The distance from the sun to the moon is the distance from the sun to the Earth minus the distance from the earth to the moon
R = 1,496 10¹¹ - 3.84 10⁸ = (1496 - 3.84) 10⁸ m
R = 1492.2 108 m
F2 = 6.67 10⁻¹¹ 7.36 10²² 1,991 10³⁰ /(1492.2 10⁸)²
F2 = 4.3896 10²⁰
Ft = 19,902 10¹⁹ - 43,896 10¹⁹
Ft = - 23.99 10₁₉₉9 N
The negative sign indicates that the force is directed towards the sun
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The light-collecting area of a telescope goes as the square of its aperture. Calling

the aperture of the first telescope and

the aperture of the Keck telescope, the ratio between the light collected by the former and the latter is