An orienteer runs 400m directly east and then 500m to the northeast (at a 45 degree andle from due east and from due north). Pro
vide a graphic solution to show final displacement with respect to the starting position
1 answer:
Answer:
Final displacement with respect to the starting position is 832.37 meter
Explanation:
Lets consider that the orienteer start to run on the point of (0,0) point of a coordinate system. When he runs towards to east side about 400m, he will be at the point A(400,0). After he runs to the northeast (at a 45 degree angle from due east and from due north), approximately he will make 353.55 meter to east and 353.55 meter to the north side and he will be at the point of B(753.55, 353.55)
From the starting point total displacement will be 832.37 meter. Please check the attached graphical solution.
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Answer:
The gravitational force between these two objects is around
Explanation:
The gravitational force can be written as:
Here:
- G is the gravitational constant
- m(1) is the first mass
- m(2) is the second mass
- r is the distance between two bodies.
If we see, the gravitational constant is a very small number, therefore the gravitational force is representative just when we have to massive bodies. Let's suppose that the mass of the pencil is 0.1 kg and the eraser is 0.1 kg too, the distance between them would be around 10 cm or 0.1 m, for instance.
Now let's calculate the gravitational force of these two bodies.
As we see it is very small force, so it is negligible relation to the earth gravitational force. That is why these two objects do not move towards each other.
I hope it helps you!