Answer:
Making a vertical vector, we have a starting point at (-5,2) and an end point at (5,2) that will give us a vector of magnitude of 10 units.
Explanation:
In order to make vectors that have a magnitude of 10 units, the distance between the starting and ending points must be equal to 10.
The easiest way is to set points on either an horizontal or vertical line to make horizontal or vertical vectors.
We can have starting point at (-5,2) and then move up 10 units so we will be at the ending point (5,2), thus the distance between them is 10 units so the vector has a magnitude of 10 units.
We can verify that using the formula for the magnitude which requires first to find the vector.
So for the points we have
We can work with each component, for the x component we have 5-(-5) which give us 10 and for the y component we have 2-2 which give us 0, so the vector is
Thus its magnitude is
Thus we have verified our vector has a length 10.
i think that the separation starting with one planet then onto the next is always moving in light of the fact that the two bodies are traveling through space. Whenever Neptune and Earth line up on a similar side of the sun, at their nearest, they are just 2.7 billion miles (4.3 billion kilometers) separated.
a) 6.25 rad/s
The law of conservation of angular momentum states that the angular momentum must be conserved.
The angular momentum is given by:
where
I is the moment of inertia
is the angular speed
Since the angular momentum must be conserved, we can write
where we have
is the initial moment of inertia
is the initial angular speed
is the final moment of inertia
is the final angular speed
Solving for , we find
b) 28.1 J and 35.2 J
The rotational kinetic energy is given by
where
I is the moment of inertia
is the angular speed
Applying the formula, we have:
- Initial kinetic energy:
- Final kinetic energy:
Answer:
The field lines go out of Earth near Antarctica, enter Earth in northern Canada, and are not aligned with the geographic poles.
Explanation:
Answer:
The boat will move in the direction of the force exerted.
Explanation:
To describe the motion of the boat, we shall first obtain the net force acting on the boat. This can be obtained as illustrated below:
From the question given above, the following data were obtained:
Force exerted (Fₑ) = 300 N
Resistive force (Fᵣ) = 250 N
Net force (Fₙ) =?
Fₙ = Fₑ – Fᵣ
Fₙ = 300 – 250
Fₙ = 50 N
Thus, the net force acting on the boat is 50 N in the direction of the force exerted.
Since the net force is in the direction of the force exerted, the boat will move in the direction of the force exerted..!