A hiker walks 9.4 miles at an angle of 60° south of west. Find the west and south components of the walk. Round your answers to
1 answer:
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To solve the problem we must know about the relationship between Speed, distance, and Time.
<h3>What is the relationship between Speed, distance, and Time?</h3>We know that sped, distance, and time all are in a relationship to each other. this relationship can be given as,
The speed of the light is 30,060.12 km/sec.
Given to us
- The distance between the earth and the sun is 15000000km
- Light takes 499 seconds to reach earth from the sun.
We know that speed can be described as,
Therefore,
<h3>What is the speed of the light?</h3>Substitute the value,
Hence, the speed of the light is 30,060.12 km/sec.
Learn more about Speed, distance, and Time:
Answer:
The magnitude of the acceleration is
The direction is north of east
Explanation:
From the question we are told that
The force exerted by the wind is
The force exerted by water is
The mass of the boat(+ crew) is
Now Force is mathematically represented as
Now the acceleration towards the north is mathematically represented as
substituting values
Now the acceleration towards the east is mathematically represented as
substituting values
The resultant acceleration is
substituting values
The direction with reference from the north is evaluated as
Apply SOHCAHTOA
substituting values
Answer:
a) 29062.125 N·m
b) 0 N·m
c)
d) T = 11186.02 N
Explanation:
We are given
Beam mass = 1975 kg
Beam length = 3 m
Cable angle = 60° above horizontal
a) We have the formula for torque given as follows;
Torque about the pin = Force × Perpendicular distance of force from pin
Where the force = Force due to gravity or weight, we have
Weight = Mass × Acceleration due to gravity = 1975 × 9.81 = 19374.75 N
Point of action of force = Midpoint for a uniform beam = length/2
∴ Point of action of force = 3/2 = 1.5 m
Torque due to gravity = 19374.75 N × 1.5 m = 29062.125 N·m
b) Torque about the pinned end due to the contact forces between the pin and the beam is given by the following relation;
Since the distance from pin to the contact forces between the pin and the beam is 0, the torque which is force multiplied by perpendicular distance is also 0 N·m
c) To find the expression for the tension force, T we find the sum of the moment forces about the pin as follows
Sum of moments about p is given as follows
∑M = 0 gives;
T·sin(θ) × L= M×L/2×g
Therefore torque due to tension is given by the following expression
d) Plugging in the values in the torque due to tension equation, we have;
Therefore, we make the tension force, T the subject of the formula hence