Answer:
A. ) F₁ₓ = -45.0 N F₁y = 53.6 N
B.) F₂ₓ = 3.48 N F₂y = -19.7 N
C.) Fₓ = -41.5 N Fy = 33.9 N
D) F = 53.6 N
E) θ = -39. 2º (320.8º)
Explanation:
A)
- Applying simple trig, like definitions of cos and sin of an angle, we can get the x- and y- components of F₁, as follows:
B)
C)
- The x- and y- components of the resultant force, are just the algebraic
sum of the x- and - y components of F₁ and F₂:
- Fₓ = Fₓ₁ + Fₓ₂ = -45 N + 3.48 N = -41.5 N (5)
- By the same token, Fy can be written as follows:
- Fy = Fy₁ + Fy₂ = 53.6 N + (-19.7 N) = 33.9 N (6)
D)
- The magnitude of the resultant force can be obtained applying the Pythagorean Theorem to Fx and Fy, as follows:
E)
- Finally the angle regarding the x- axis of the resultant force vector, can be obtained using the definition of the tangent of an angle, as follows:
Answer: Element or Isotope
Explanation:
Transmutation of elements is the change that occurs when one chemical element is transformed to another, this happens during nuclear reaction or during radioactive decay.
When this happens, a different element or isotope is formed because there is a change in the proton or neutron within the nucleus of such element.
Answer:
C
Explanation:
we learned alot about this last year.
Answer:
Explanation:
First, we will calculate the inductance of the solenoid by using the following formula:
where,
L = self-inductance of solenoid = ?
μ₀ = permeability of free space = 4π x 10⁻⁷ N/A²
A = Cross-sectional area = 30 cm² = 3 x 10⁻³ m²
N = No. of turns = 2000
l = length = 65 cm = 0.65 m
Therefore,
Now, we will use Faraday's law to calculate the rate of change of current:
When it rains, the growth aids in the soil drift