Answer:
646.6 nm
Explanation:
Using the data given, we fit a linear model :
Spectroscope Readings Known Helium Wavelengths (nm)
3.65 388.9
4.75 486.6
4.90 501.6
5.65 587.6
6.45 667.8
7.00 706.5
Using technology like excel to fit the model, the regression model obtained is :
Y = 97.96582X + 27.48458
Where, y is the predicted or corrected wavelength value.
This mod could be used to calculate the corrected wavelength for a given Spectroscope value :
Given a Spectroscope value of 6.32 ; the corrected wavelength is obtained by replacing x in the equation by 6.32 and calculate y ;
Y = 97.96582X + 27.48458
x = 6.32
Y = 97.96582(6.32) + 27.48458
Y = 619.1439824 + 27.48458
Y = 646.6285624
Corrected wavelength value is : 646.6
Answer:
0
Explanation:
Defining velocity :
Velocity is a vector which is the ratio of a person's total displacement with time.
Displacement, in simple terms refers to the distance between an individual's initial position to his final position.
Man's initial position = House
After all his navigation and points covered irrespective of the distance ;
Final position = House
Hence, we can conclude that the man's Displacement is ;
Final position - Initial position = 0
Hence,
Velocity = Displacement / time taken
Velocity = 0 / 3
Velocity = 0
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:
Newton's third law of motion.
Explanation:
An ice skater at rest pushes against a sled at rest,causing both the skater and sled to move away from each other with different acceleration. It is based on Newton's third law of motion.
Third law says that, for every action there is an equal; and opposite reaction. Here, action is force applied by ice skater and reaction is motion of skater and sled away from each other with different acceleration.
Answer:843.75kg
Explanation:
kinetic energy(ke)=432000j
Velocity(v)=32m/s
Mass(m)=?
Ke=(mxv^2)/2
432000=(mx32^2)/2
432000=(mx32x32)/2
Cross multiplying we get
432000x2=(mx1024)
864000=1024m
Divide both sides by 1024
864000/1024=1024m/1024
843.75=m
m=843.75kg