Experimental tests have shown that hammerhead sharks can detect magnetic fields. In one such test, 100 turns of wire were wrappe

Answer:

The force magnitude is  

and it is directed at 57.98° from the horizontal in a counterclockwise manner.

Explanation:

The problem states that

At t = 0,

The angular rate of increase is

Converting to revolutions per second gives us  

The rope length is defined by

    At , Tension T of the rope is 18 kN.

     The weight of the para-sailor is

In analyzing the question, we observe that the equation for length can be represented as a linear displacement equation.

 The derivative of displacement results in velocity.

Hence,

signifies the velocity, and further differentiation yields acceleration.

Therefore,

Now considering the moment when the rope forms a 30° angle with the water,

typically angular velocity is expressed as

where represents the angular displacement.

Next, evaluating the interval from gives us

making t the focal point.

At this time, the displacement measures

The linear velocity computes to

Whereas linear acceleration calculates as

Generally, radial acceleration is given by

Simultaneously, angular acceleration can be represented as

Then

Thus,

The resultant acceleration is mathematically denoted as

Now the acceleration's direction is mathematically expressed as

The y-axis force acting on the para-sailor is mathematically shown as

The x-axis force acting on the para-sailor is represented as

The overall force is calculated as

The directional force is evaluated as

Answer:

1 angstrom equals 0.1 nm.

To convert 5000 angstroms: 5000 angstrom = 5000 / 1 × 0.1 nm.

= 500 nm

To express 5000 angstroms in meters: 5000 angstrom = 5000 × 1 × 10^-10.

= 5 × 10^-7 m

Hope this explanation is useful for you.