To solve this problem we will use the linear motion description kinematic equations. We will proceed to analyze the general case by which the analysis is taken for the second car and the tenth. So we have to:
Where,
x= Displacement
= Initial velocity
a = Acceleration
t = time
Since there is no initial velocity, the same equation can be transformed in terms of length and time as:
For the second cart
When the tenth car is aligned the length will be 9 times the initial therefore:
When the tenth car has passed the length will be 10 times the initial therefore:
The difference in time taken from the second car to pass it is 5 seconds, therefore:
From the first equation replacing it in the second one we will have that the relationship of the two times is equivalent to:
From the relationship when the car has passed and the time difference we will have to:
Replacing the value found in the equation given for the second car equation we have to:
Finally we will have the time when the cars are aligned is
The time when you have passed it would be:
The difference between the two times would be:
Therefore the correct answer is C.
Answer: 4.9 g/cm^3
Explanation.
!) Data
mass = 49 g
Volume = 10 cm^3
2) Formula
Density = mass / volume
Density = 49 g / 10cm^3 = 4.9 g/cm^3
This is a problem where you only need to know the formula and subtitute the numbers to calculate.
The formula of density is the very same definition: mass per unit of volume.
So, as you had the mass and the volume you just need to plug the values in the formula density = mass / volume.
Answer:
λ = 6.61 x 10⁻⁷ m = 661 nm
Explanation:
From the Young's Double Slit experiment, the the spacing between adjacent bright or dark fringes is given by the following formula:
Δx = λL/d
where,
Δx = fringe spacing = 2.86 mm = 2.86 x ⁻³ m
L = Distance between slits and screen = 2.12 m
d = slit separation = 0.49 mm = 0.49 x 10⁻³ m
λ = wavelength of light = ?
Therefore,
2.86 x 10⁻³ m = λ(2.12 m)/(0.49 x 10⁻³ m)
(2.86 x 10⁻³ m)(0.49 x 10⁻³ m)/(2.12 m) = λ
<u>λ = 6.61 x 10⁻⁷ m = 661 nm</u>
Answer:
5N
Explanation:
Data obtained from the question include:
K (spring constant) = 20N/m
e (extension/compression) = 0.25 m
F (force) =?
Using the formula F = Ke, the force can be obtained as follow:
F = Ke
F = 20 x 0.25
F = 5N
