Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line. The masses ar
2 answers:
Answer: Total Force =
Explanation:
Line points are: Sun - Venus - Earth - Jupiter - Saturn
Newton's law of universal gravitation states that every particle attracts every other particle in the universe with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. This means:
Where,
G is the gravitational constant,
m1 and m2 are the masses of the objects,
and r is the distance between the centers of their masses.
So, if G value is , then we replace the equation with the corresponding values:
To get the distances we subtract the distances between the sun and earth and the distances between the other planets and the sun.
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Answer:
increased by 9 times
Explanation:
As the period of a simple pendulum is defined as the following formula
where L is the length of the pendulum and g is the constant gravitational acceleration. Since L is under a square root, if you want to triple the period of vibration, L must be increased by 9 times so that
1) Distance: 44 blocks
2) Displacement: 10.2 blocks at north of east
Explanation:
1)
- Distance is a scalar quantity that gives a measure of the total length of the path travelled by an object, regardless of its direction
- Displacement is a vector quantity which connects the initial position to the final position of motion of the object. Being a vector, it has both magnitude and direction: the magnitude is the shortest distance between initial and final position, while the direction goes from the initial to the final position.
In this problem, the motion is:
18 blocks north
10 blocks east
16 blocks south
So, the distance is the sum of the distances covered in each part:
distance = 18 + 10 + 16 = 44 blocks
2)
The displacement can be calculated by evaluating the initial and the final position. Along the north-south direction, the displacement is
blocks north
Along the east-west direction,
blocks east)
So, the magnitude of the displacement is given by Pythagorean's theorem
blocks
And the direction is given by
measured as north of east.
Learn more about distance and displacement:
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