For Part A.
The absolute value of vector A is
<span>|A | = 6
This is simply the square root of the sum of the squares of the coordinates.
For Part B
Do the same thing as in Part A
| B | = </span>√14
<span>
Part C
Simply subtract the corresponding elements resulting in
(-3, 2, 7)
Part D
</span>√62
<span>
Part E
Yes</span>
Momentum = mass * velocity
p = mv
p = 1.5 kg * 40 ms^-1
p = 60 kgm/s
To find components of a vector:
px = p * cos(theta)
px = 60 * cos(30)
px = 51.96 = 52 (rounded to two significant digits)
py = p * sin(theta)
py = 60 * sin(30)
py = 30
He initial momentum is 60kgm/s
The horizontal component is 52 kgm/s
The vertical component is 30 kgm/s
Less than. A machine should have equal or more output than input to have a high efficiency. :)
Answer: For a total eclipse of the Sun to happen, the Moon must get directly in front of the Sun, as seen from Earth.
Explanation: solar eclipse occurs when something comes between the earth and the sun, casting it's shadow on the surface the earth. For the the sun to be blocked completely. The obstructing body must come directly between.
