A closely wound rectangular coil of 80 turns has dimensions of 25.0 cm by 40.0 cm. The plane of the coil is rotated from a posit
1 answer:
You might be interested in
Answer:
31.8 m in the positive x-direction
Explanation:
Here we have an example of multiplication of a vector by a scalar.
In order to perform this operation, we have to:
- multiply the magnitude of the vector by the scalar
- reverse the direction of the vector if the scalar is a negative number
In this problem, the original vector has a lenght of 8.6 m and it points in the negative x direction. Now we have to find the vector -3.7A, so we have:
- The magnitude is obtained by calculating the product
- The direction is reversed, because the scalar is -3.7, so the new vector will point in the positive x-direction
So the final vector is 31.8 m in the positive x-direction, and therefore its x-component is also 31.8 m in the positive direction.
Answer:
the third piece landed meters in a direction 45 degrees from the observer's right towards the front
Explanation:
Due to conservation of momentum, the momentum of the third piece must add to the other two momenta in vector from to render zero (initial momentum of the firework on a plane parallel to ground. Therefore the momentum components of the third piece must have a component to the right equal in magnitude to the momentum of the piece that traveled to the left, and a momentum component pointing to the front of the observer of equal magnitude to that of the piece that traveled behind the observer. Then the direction of the third momentum must be at 45 degrees from the observer's right towards the observer's front.
Also, the magnitude of a momentum vector of such components, is given by the Pythagorean theorem. Recall also that the magnitudes of the momentum vectors of the first two pieces must be equal since they traveled equal distances.
Then the distance traveled by the third piece must also keep this proportionality: