Answer:
the time needed for her to close the door is 1.36 s.
Explanation:
given information:
Force, F = 220 N
width, r = 1.40 m
weight, W = 790 N
height, h = 3.00 m
angle, θ = 90° = π/2
to find the times needed to close the door we can use the following equation
θ = ω₀t + 1/2 αt²
where
θ = angle
ω = angular velocity
α = angular acceleration
t = time
in this case, the angular velocity is zero. thus,
θ = 1/2 αt²
now, we can find the angular speed by using the torque formula
τ = I α
where
τ = torque
I = Inertia
we know that
τ = F r
and
I = 1/3 mr²
so,
τ = I α
F r = 1/3 mr² α
α = 3 F/mr
= 3 F/(w/g)r
= 3 (220)/(790/9.8) 1.4
= 5.85 rad/s²
θ = 1/2 αt²
π/2 = 1/2 5.85 t²
t = 1.36 s
Answer:
5
Explanation:
The d subshell has 5 orbitals, each capable of holding a maximum of two electrons. Hund's rule tells us that every orbital in a sub-level must first be singly occupied by electrons before any orbital is doubly occupied. Therefore five electrons will fill the five orbitals within the d subshell.
Through is the answer to your question
Answer:
The amplitude of the wave is 0.02 m.
Explanation:
Given that,
Maximum speed = 2.0 m/s
Maximum acceleration = 200 m/s²
We need to calculate the angular frequency
Using formula of angular frequency

Put the value into the formula


We need to calculate the amplitude of the wave
Using formula of velocity


Put the value into the formula


Hence, The amplitude of the wave is 0.02 m.
Answer:
a)
, b)
, c) 
Explanation:
a) The system have a simple armonic motion, whose position function is:

The velocity function is determined by deriving the position function in terms of time:

The acceleration function is found by deriving again:

Let assume that
. The following nonlinear system is built:



System can be reduced by divinding the second and third expressions by the first expression:


Now, the last expression is divided by the first one:

b) The mass of the block is:



c) The phase angle is:


The amplitude is:

