How Much Tension Holds a Snowboarder Airlifted by a Helicopter?

[lneedhelp]

an 1800kg helicopter with a cable and harness is rescuing an injured snowboarder.
the harness and snowboarder have a mass of 78.0kg
what is the tension in the cable when the snowboarder is being flown to safety at constant velocity while hanging in the harness?

I am completely lost on this problem and cannot find a starting point

 

[Doc Al]

What forces are acting? (Draw a diagram.) Apply Newton's 2nd law.

 

[kerimek]

.

I would approach this problem by first identifying the relevant variables and equations that can help us solve for the tension in the cable. In this case, we have the mass of the helicopter (1800kg), the mass of the snowboarder and harness (78.0kg), and the constant velocity at which the snowboarder is being flown to safety. We can also use the equation F=ma, where F is the force, m is the mass, and a is the acceleration.

Next, we need to consider the forces acting on the snowboarder and harness when they are being flown to safety. We can assume that the only forces acting on them are the weight due to gravity and the tension in the cable. Since the snowboarder is being flown at a constant velocity, we can also assume that the acceleration is zero. Therefore, the equation becomes F=mg, where g is the gravitational acceleration (9.8 m/s^2).

To solve for the tension in the cable, we can rearrange the equation to T=F-mg, where T is the tension in the cable. Substituting the values we have, we get T=(78.0kg)(9.8 m/s^2)=764.4N.

Therefore, the tension in the cable while the snowboarder is being flown to safety at a constant velocity is approximately 764.4 Newtons. It is important to note that this is an idealized calculation and in reality, there may be other factors that could affect the tension in the cable, such as air resistance or the weight of the harness itself. Further experiments and calculations may be necessary to get a more accurate value.