A) The formula for kinetic energy is E = 1/2 mv^2, so the energy of the ball is 1/2 * 2 * 10^2 = 100J.
b) Energy is always conserved, and so if no energy is lost to resistive forces then all 100J of kinetic energy came from its potential energy at the top of the track.
c) The formula for potential energy is E = mgh, which we can rearrange for h = E/mg. We know the energy, the mass and the strength of gravity, so we can find h = 100 / (2*9.81) = 5.10m.
1. Find the spring constant k:
F = mg = kx
68 * g = k * 0.0055m
k = 121287.273
2.Find the frequency f:
ω = 2πf = √k/m
f = √(k / m)/ 2π = 1.7
Given:
500 containers ; 5 of these are defective.
A = event that 1st is defective = 5/500
B = event that 2nd is defective = 4/499
C = event that 3rd is defective = 3/498
a) 4/499
b) 5/500 * 4/499 = 20/249,500 = 1/12,475
c) 495/500 * 494/500 = 244,530 / 250,000 = 24,453/25,000
d) 5/500 * 4/499 * 3/498 = 60/124,251,000 = 1/2,070,850
Answer:
<em>| Fn | = 258 N</em>
Explanation:
<u>Net Force</u>
The net force vector is the sum of all the force vectors applied to a body.
There are four forces applied to a car:
325N to the north
175N to the south
465N to the east
255N to the west
To simplify the calculations, we find the net force by each axis separately, considering forces to the right and upward as positive.
Fx = 465 N - 255 N = 210 N
Fy = 325 N - 175 N = 150 N
The magnitude of the net force is:
| Fn | = 258 N
