In order to make his measurements for determining the Earth-Sun distance, Aristarchus waited for the Moon's phase to be exactly half full while the Sun was still visible in the sky. For this reason, he chose the time of a half (quarter) moon.
<h3 /><h3>How did Aristarchus calculate the distance to the Sun?</h3>
It was now possible for another Greek astronomer, Aristarchus, to attempt to determine the Earth's distance from the Sun after learning the distance to the Moon. Aristarchus discovered that the Moon, the Earth, and the Sun formed a right triangle when they were all equally illuminated. Now that he was aware of the distance between the Earth and the Moon, all he needed to know to calculate the Sun's distance was the current angle between the Moon and the Sun. It was a wonderful argument that was weakened by scant evidence. Aristarchus calculated this angle to be 87 degrees using only his eyes, which was not far off from the actual number of 89.83 degrees. But when there are significant distances involved, even slight inaccuracies might suddenly become significant. His outcome was more than a thousand times off.
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Answer:
960J
Explanation:
Given parameters:
Force = 120N
Distance = 8m
Unknown:
Work required = ?
Solution:
The work done by a body is the force applied to move a body in a specific direction.
Work done = Force x distance
Insert the parameters and solve;
Work done = 120 x 8 = 960J
Answer:
13.1 m/s
Explanation:
Given that a baseball is tossed up into the air at an initial velocity 18 m/s. The height of the baseball at time t in seconds is given by h(t) = 18t−4.9t 2 (in meters).
a) What is the average velocity for [1,1.5]?
To calculate the velocity travelled by the ball, differentiate the function.
dh/dt = 18 - 9.8t
Substitute t for 1 in the above Differential function
dh/dt = 18 - 9.8 (1)
But dh/dt = velocity
V = 18 - 9.8
V = 8.2 m/s
Average velocity = ( U + V ) / 2
Average velocity = (18 + 8.2)/2
Average velocity = 26.2/2
Average velocity = 13.1 m/s
<u>To find the mass, with only the weight</u>:
⇒ must consider the relationship between the mass and weight
⇒ (<em>in other words</em>) we must find the equation that has both the
mass and weight
<u>Based on our physics knowledge, we know</u>:
- Weight: 147N
- Gravitational Acceleration: 9.8 m/s²
<u>Now let's plug in the values, and solve</u>:
<u>Answer: 15 kg</u>
Hope that helps!
<em>*as a note, if you use the gravitational acceleration as 10m/s², then the answer would be 14.7 kg</em>
