Part A)
Distance is given as sum of total path length
So here as we are given that car drives 40 miles East and 30 miles West
So here the total path length is


Part B)
Displacement is given as straight line distance between initial and final position
So here we can see that
East
West
Now the total displacement will be

<u><em>so the displacement will be 10 miles East</em></u>
Answer:
<h2>2.55 Hz</h2>
Explanation:
The frequency of the wave given it's velocity and wavelength can be found by using the formula

where
c is the velocity of the wave in m/s
is the wavelength in m
From the question
c = 7.9 m/s
= 3.1 m
We have

We have the final answer as
<h3>2.55 Hz</h3>
Hope this helps you
Answer:
a) T = 2.26 N, b) v = 1.68 m / s
Explanation:
We use Newton's second law
Let's set a reference system where the x-axis is radial and the y-axis is vertical, let's decompose the tension of the string
sin 30 =
cos 30 =
Tₓ = T sin 30
T_y = T cos 30
Y axis
T_y -W = 0
T cos 30 = mg (1)
X axis
Tₓ = m a
they relate it is centripetal
a = v² / r
we substitute
T sin 30 = m
(2)
a) we substitute in 1
T =
T =
T = 2.26 N
b) from equation 2
v² =
If we know the length of the string
sin 30 = r / L
r = L sin 30
we substitute
v² =
v² =
For the problem let us take L = 1 m
let's calculate
v =
v = 1.68 m / s
It doesn't matter what the object's initial velocity is, or how long
the acceleration lasts. All that matters is the object's mass and
acceleration.
Force = (mass) x (acceleration) =
(5kg) x (15 m/s²) =
75 kg-m/s² = <em>75 newtons .</em>