If F1 is the magnitude of the force exerted by the Earth on a satellite in orbit about the Earth and F2 is the magnitude of the
1 answer:
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The potential energy of the lemming is 1.53 J
Explanation:
The potential energy (PE) of an object is the energy possessed by the object due to its position in the Earth's gravitational field, and it is given by:
where:
m is the mass of the object
is the acceleration of gravity
h is the height of the object relative to the ground
In this problem:
m = 0.0780 kg is the mass of the lemming
We want to find the potential energy when the height is
h = 2.00 m
Therefore, we find:
Learn more about potential energy:
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Answer:
The person can jump 48 m on the Moon
Explanation:
The question parameters are;
The maximum long jump distance of a person on Earth, = 3 m
The acceleration due to gravity on the Moon = 1 ÷ 16 of that on Earth
The distance the person can jump on the Moon is given as follows;
A person performing a jump across an horizontal distance on Earth (under gravitational force) follows the path of the motion of a projectile
The horizontal range, , of a projectile motion is found by using the following formula
Where;
g = The acceleration due to gravity = 9.8 m/s²
Therefore, we have;
u² = 3 m × 9.8 m/s² = 29.4 m²/s²
Therefore, on the Moon, we have;
The acceleration due to gravity on the Moon, = 1/16 × g
∴ = 1/16 × g = 1/16 × 9.8 m/s² ≈ 0.6125 m/s²
The maximum distance the person can jump on the Moon with the same velocity which was used on Earth is ≈ 48 m
With the addition of vectors we can find that the correct answer is:
C) Q> P > R = S > T
The addition of vectors must be done taking into account that they have modulus and direction. The analytical method is one of the easiest methods, the method to do it is:
- Set a Cartesian coordinate system
- Decompose vectors into their components in a Cartesian system
- Perform the algebraic sums on each axis
- Find the resultant vector using the Pythagoras' Theorem to find the modulus and trigonometry to find the direction.
In this exercise indicate that the modulus of all vectors is the same, suppose that the value of the modulus is A.
We fix a Cartesian coordinate system with the horizontal x axis and the vertical y axis, we can see that we do not need to perform any decomposition, so we perform the algebraic sums
Diagram P
x-axis
x = 2A
y-axis
y = 2A
The modulus of the resulting vector can be found with the Pythagorean Theorem
P =
P =
P = 2 √2 A
Diagram Q
x-axis
x = 3A
y-axis
y = A
Resulting
Q =
Q =
Q =
Diagram R
x- axis
x = 0
y-axis
y = 2 A
Resulting
R =
R =
Diagram S
x-axis
x = 2 A
y-axis
y = 0
Resulting
S = 2A
Diagram T
x- axis
x = 0
y-axis
y = 0
Resultant T = 0
We order the diagram from highest to lowest
Q> P> R = S> T
When reviewing the different answers, the correct one is:
C. Q> P> R = S> T
Learn more about adding vectors here: