Answer:
n = 1,732 the amplitude must be increased by a factor of 1,732
Explanation:
The power delivered by a wave is given by
P = E / t
P = ½ μ w² v A²
let's apply this expression to our case the power tripled
3P₀ = ½ μ w² v A’²
let's write the amplitude function of a initial amplitude
A ’= n A₀
where n is a number
3 P₀ = (½ μy w² v A₀²) n²
3P₀ = P₀ n²
n = √ 3
n = 1,732
therefore the amplitude must be increased by a factor of 1,732
Answer:
t = 3.94 s
Explanation:
This can be modeled as a case of free fall motion. Because, the falcon is going down with acceleration, that is equal to acceleration due to gravity. To find the time taken by the falcon to intercept the pigeon, we will use second equation of motion for vertical direction:
where,
h = height = 76 m
vi = initial speed of falcon = 0 m/s
t = time required = ?
g = acceleration due to gravity = 9.81 m/s²
Therefore,
<u>t = 3.94 s</u>
Answer:
8684.2 kg/m³
Explanation:
Tension in the rope as a result of the weight = 8.86 N
Tension in the rope when submerge in water = 7.84
upthrust = 8.86 - 7.84 =1.02 N = mass of water displaced × acceleration due to gravity
Mass of water displaced = 1.02 / 9.81 = 0.104 kg
density of water = mass of water / volume of water
make volume subject of the formula
volume of water displaced = mass / density ( 1000) = 0.104 / 1000 = 0.000104 m³
volume of the object = volume of water displaced
density of the object = mass of the object / volume of the object = (8.86 / 9.81) / 0.000104 = 0.9032 / 0.000104 = 8684.2 kg/m³
To claculate the gravitational attraction between two bodies with mass 1(m1) and mass 2 (m2) you need to use the equation:
F= G ((m1*m2)/r^2)
Where;
G is the gravitational constant (6.67E-11 m^3 s-2 Kg-1) and
r is the distance between the two objects.
