Answer:
x₁ = 0.1878 m
Explanation:
For this exercise we will use conservation of energy
starting point. Highest point
Em₀ = U = m g h
final point. Lowest point with fully compressed spring
Em_f = K_e + U
Em_f = ½ K x² + m g x
energy is conserved
Em₀ = Em_f
m g h = ½ K x² + m g x
½ K x² + mg (x- h) = 0
let's substitute
½ 7.3 x² + 0.030 9.8 (x- 0.25) = 0
3.65 x² + 0.294 (x- 0.25) = 0
x² + 0.080548 (x- 0.25) = 0
x² - 0.020137 + 0.080548 x = 0
x² + 0.080548 x - 0.020137 = 0
let's solve the quadratic equation
x = [0.080548 ±√ (0.080548² + 4 0.020137)] / 2
x = [0.080548 ± 0.29502] / 2
x₁ = 0.1878 m
x₂ = -0.1072 m
These are the compression and extension displacement of the spring
Answer:
While traveling downhill, the car’s potential is <u>increasing</u> and kinetic energy is <u>decreasing</u>
Explanation:
hope this helps!
get hold of some of her equipment, and throw it away from the craft. she should recoil to the craft ... and hope ???
Answer:
0.00384 kg/m
Explanation:
The fundamental frequency of string waves is given by
For some tension (F) and length (L)
Fundamental frequency of G string
Fundamental frequency of E string
Linear mass density of E string is
So,
The linear density of the G string is 0.00384 kg/m
Answer:
The answer is below
Explanation:
A cross-country skier moves 28 meters westward, then 62 meters eastward, and finally 54 meters westward.
For this motion, what is the distance moved?
What is the magnitude and direction of the displacement?
Answer:
a) The distance moved is the summation of all the distance, therefore:
Distance = Distance first moved westward + Distance moved eastward + Final distance moved westward = 28 m + 62 m + 54 m = 144 m
Distance = 144 m
b) Displacement is a vector quantity (has magnitude and direction). The displacement is the shortest distance from the starting to final point.
Total distance westward = 28 m + 54 m = 82 m
Total distance eastward = 62 m
Displacement = Total distance westward - Total distance eastward = 82 m - 62 m = 20 m
Displacement = 20 m westward
The displacement has a magnitude of 20 m and the direction is westward
