5. If you walk 70 meters north in 5 minutes and 20 meters south in 15 seconds. What was the average
1 answer:
You might be interested in
Answer:
The magnitude of the force is
the direction is 57.98° from the horizontal plane in a counter clockwise direction
Explanation:
From the question we are told that
At t = 0 ,
The rate at which the angle increases is
Converting this to revolution per second
The length of the rope is defined by
At , The tension on the rope T = 18 kN
Mass of the para-sailor is
Looking at the question we see that we can also denote the equation by which the length is defied as an an equation that define the linear displacement
Now the derivative of displacement is velocity
So
represents the velocity, again the derivative of velocity gives us acceleration
So
Now to the time when the rope made angle of 30° with the water
generally angular velocity is mathematically represented as
Where is the angular displacement
Now considering the interval between we have
making t the subject
Now at this time the displacement is
The linear velocity is
The linear acceleration is
Generally radial acceleration is mathematically represented by
Generally angular acceleration is mathematically represented by
Now
So
The net resultant acceleration is mathematically represented as
Now the direction of the is acceleration is mathematically represented as
The force on the para-sailor along y-axis is mathematically represented as
The force on the para-sailor along x-axis is mathematically represented as
The net resultant force is mathematically evaluated as
The direction of the force is