Answer:
The wire meet the ground at an angle of 56.4 degrees
Explanation:
It is given that,
To support a tree damaged in a storm, a 12-foot wire is secured from the ground to the tree at a point 10 feet off the ground.
The hypotenuse is, H = 12 foot
The perpendicular distance is, P = 10 feet
The angle between the tree and the ground is 90 degrees
Using Pythagoras theorem as :



So, the wire meet the ground at an angle of 56.4 degrees. Hence, the correct option is (d).
Refer to the diagram shown below.
From the geometry, obtain
x = 2.5 - 0.55 = 1.95 m
cos θ = 1.95/2.5 = 0.78
θ = cos⁻¹ 0.78 = 38.74°
From the free body diagram, the tension in the chain is 450 N.
F is the centripetal force,
W is Dee's weight.
The components of the tension are
Horizontal component = 450 sin(38.74°) = 281.6 N, acting left.
Vertical component = 450 cos(38.74°) = 351.0 N, acting upward.
Answers:
Horizontal: 281.6, acting left.
Vertical: 351.0 N, acting upward.
Complete Question
The complete quetion is shown on the first uploaded image
Answer:
Explanation:
From the question we are told that
The mass of the fly is 
The extension of the web is 
The spring constant is mathematically evaluated as

substituting values


The frequency of vibration is

substituting values


Answer:
m = 4.9 10⁸ kg
Explanation:
The expression for the density is
ρ = m / V
m = ρ V
the volume of the atmosphere is the volume of the sphere of the outer layer of the atmosphere minus the volume of the plant
V = V_atmosphere - V_planet
V = 4/3 π R_atmosphere³ - 4/3 π R_venus³
V = 4/3 π (R_atmosphere³ - R_venus³
)
the radius of the planet is R_venus = 6.06 10⁶ m.
The radius of the outermost layer of the atmosphere
R_atmosphere = 50 10³ + R_ venus = 50 10³ + 6.06 10⁶
R_atmosphere = 6.11 10⁶ m
let's find the volume
V = 4/3 pi [(6,11 10⁶)³ - (6,06 10⁶)³]
V = 23,265 10⁶ m³
let's calculate the mass
m = 21 23,265 10⁶
m = 4.89 10⁸ kg
with two significant figurars is
m = 4.9 10⁸ kg
Answer:
The east component of the helicopter's displacement is 125 km.
Explanation:
Given:
The magnitude of displacement is, 
The direction of displacement is 60° south of east.
The direction is shown in the figure below. From the figure, the horizontal component of the displacement vector is the east component.
Thus, the east component of displacement is given as:

Hence, the east component of the helicopter's displacement is 125 km.