Question

A 75 kg sky diver in a free fall is subjected to a crosswind exerting a force od 60 N and to a vertical air resestance force of 100N .. describe yhe resultant force on sky diver​

Answer 1

Answer:

To find the resultant, first we resolve the forces into x and y components.

Assume g = 9.81 m/s^2

The gravitational force is vertically down with magnitude 75*9.81 = 735.75 N

The air resistance points up with magnitude 100 N

So the sum of the forces in the y-direction = 735.75 - 100 = 635.75

The crosswind in the x-direction = 60 N

The resultant force has magnitude sqrt((635.75)^2+(60)^2) = 638.6 N

The angle of the resultant force = arctan(60/635.75) = 5.4 deg. from vertical

MARK ME AS BRAINLIEST

Answer 2

The resultant force on the skydiver is a force of 841.44 N, acting at an angle of 4.08 degrees with respect to the vertical.

As per the question given,

The resultant force on the skydiver can be found by resolving the forces into their vertical and horizontal components.

The vertical forces acting on the skydiver are the weight (due to gravity) and the air resistance force. Since the skydiver is in free fall, the only vertical force acting on them is their weight, which is given by:

F_weight = m * g

where m is the mass of the skydiver (75 kg) and g is the acceleration due to gravity (9.81 m/s^2). Substituting these values, we get:

F_weight = 75 * 9.81 = 735.75 N

The air resistance force is acting in the opposite direction to the motion of the skydiver, so it is also acting in the vertical direction. The magnitude of this force is given as 100 N.

The horizontal force acting on the skydiver is the force due to the crosswind, which is 60 N.

To find the resultant force on the skydiver, we can use the Pythagorean theorem. The vertical and horizontal forces form the legs of a right triangle, and the resultant force is the hypotenuse.

Using the formula for the magnitude of the resultant force:

F_resultant = sqrt(F_horizontal^2 + F_vertical^2)

where F_horizontal is the horizontal component of the resultant force (60 N) and F_vertical is the vertical component of the resultant force (the sum of the weight and air resistance force, or 735.75 N + 100 N = 835.75 N).

Substituting these values into the formula, we get:

F_resultant = sqrt((60 N)^2 + (835.75 N)^2) = 841.44 N

Therefore, the magnitude of the resultant force on the skydiver is 841.44 N. This force is acting at an angle with respect to the vertical, which can be found using trigonometry. The angle is given by:

theta = atan(F_horizontal / F_vertical)

Substituting the values, we get:

theta = atan(60 N / 835.75 N) = 4.08 degrees

For such more questions on Skydiver

https://brainly.com/question/14987706

#SPJ2