We know that the Pythagorean theorem applies only to right triangles, therefore the original vectors must be parallel to the legs of a right triangle.
In other words, they must be orthogonal (i.e. perpendicular to each other) in order that the Pythagorean theorem applies.
Answer:
.864 M
Explanation:
For first order decomposition,
rate constant k = 1/t x ln a / (a - x )
given , a = 1.33 M , t = 644 s , k = 6.7 x 10⁻⁴ , a - x = ? = b( let )
6.7 x 10 ⁻⁴ = 1/644 x ln 1.33/b
ln 1.33/b = 6.7 x 10⁻⁴ x 644 = .4315
1.33 / b = e⁰ ⁴³¹⁵ = 1.5395
b = 1.33 / 1.5395 = .864 M.
Force can be expressed as the time-rate change of momentum
Mathematically, Force = Change in momentum/change in time
Change in momentum = m(10.1-18.9) = -0.2024
Force = -2024/5.4 = -375N(approx)
The significance of the '-' sign is that the direction of force is the opposite that of the direction of our velocities since we assumed them to be positive.
Also this is the force on the ball, the force on the window will be equal and opposite.
True
Most photographs will be made using a shutter speed of 1/60 or faster.
