Answer:
The magnitude and direction of the resultant force are approximately 599.923 newtons and 36.405°.
Explanation:
First, we must calculate the resultant force (
), in newtons, by vectorial sum:
(1)
Second, we calculate the magnitude of the resultant force by Pythagorean Theorem:


Let suppose that direction of the resultant force is an standard angle. According to (1), the resultant force is set in the first quadrant:

Where
is the direction of the resultant force, in sexagesimal degrees.

The magnitude and direction of the resultant force are approximately 599.923 newtons and 36.405°.
Answer:
<h3>The answer is 0.47 kg</h3>
Explanation:
The mass of the object given it's momentum and velocity can be found by using the formula

where
p is the momentum
v is the velocity
We have

We have the final answer as
<h3>0.47 kg</h3>
Hope this helps you
Answer:
a) I = 3.63 W / m²
, b) I = 0.750 W / m²
Explanation:
The intensity of a sound wave is given by the relation
I = P / A = ½ ρ v (2π f
)²
I = (½ ρ v 4π² s_{max}²) f²
a) with the initial condition let's call the intensity Io
cte = (½ ρ v 4π² s_{max}²)
I₀ = cte s² f₀²
I₀ = cte 10 6
If frequency is increase f = 2.20 10³ Hz
I = constant (2.20 10³) 2
I = cte 4.84 10⁶
let's find the relationship of the two quantities
I / Io = 4.84
I = 4.84 Io
I = 4.84 0.750
I = 3.63 W / m²
b) in this case the frequency is reduced to f = 0.250 10³ Hz and the displacement s = 4 s or
I = cte (f s)²
I = constant (0.250 10³ 4)²
I = cte 1 10⁶
the relationship
I / Io = 1
I = Io
I = 0.750 W / m²