Posted by **Ryan** on Monday, December 12, 2011 at 4:26pm.

An airplane moves 243 m/s as it travels

around a vertical circular loop which has a

radius of 1.2 km.

What is the magnitude of the normal force

on the 100 kg pilot of this plane at the bottom

of this loop? The acceleration of gravity is

9.8 m/s

2

.

Answer in units of k

- physics -
**drwls**, Monday, December 12, 2011 at 6:49pm
M g + M V^2/R

R = 1200 m

"Units of k" makes no sense. The answer will not be a temperature; it will be a force, in Newtons.

- physics -
**Edwin**, Wednesday, October 24, 2012 at 6:35pm
It will not be answered in units of k. It is asking for a force, so the units will be in Newtons. (I assume you meant "kN", which would be kiloNewtons.)

The forces acting on the pilot at the bottom of the loop are gravity and the normal force. However, they are pulling in opposite directions (gravity pulls away from the center of the loop, while the normal force pulls toward the center), so the magnitudes of both forces need to be subtracted to get the total net force (F = N - mg).

m = 100 kg

v = 243 m/s

r = 1.2 km (1200 m)

g = 9.8 m/s

With the information given, the total net force can be calculated using the centripetal force formula: F = m * (v^2 / r)

F = 100 * (243^2 / 1200) = 4920.75 N

The problem is only asking for the magnitude of the normal force. As I stated earlier, two forces are acting on the pilot at the bottom of the loop (gravity and the normal force). The force of gravity is calculated with this formula: F = mg

F = 100 * 9.8 = 980 N

Now, take another look at the net force equation.

F = Normal force - mg

Since gravity is pulling away from the center of the loop, it is the negative force, which is why it is subtracted from the normal force to get the net force. So to find the normal force, the force of gravity needs to be added to the net force.

F + mg = Normal force

4920.75 + 980 = 5900.75 N

And since the problem asks for the force in kiloNewtons...

5900.75 N / 1000 = 5.90075 kN

## Answer This Question

## Related Questions

- physics - A aeroplane with a mass of 9940 kg completes a vertical loop of radius...
- physics - A aeroplane with a mass of 9940 kg completes a vertical loop of radius...
- physics - consider the magnitude of the normal force that the pilot's seat ...
- Physics - A pilot flies an airplane in a vertical circular loop at a constant ...
- Physics - A pilot of mass 65 kg in a jet aircraft makes a complete vertical ...
- Physics - A pilot of mass 65 kg in a jet aircraft makes a complete vertical ...
- PHYSICS PLEASE HELP !!!!! - A roller coaster cart with a mass of 13 kg travels ...
- physics - A jet airplane is in level flight. The mass of the airplane is m = ...
- PHYSICS Gr 12 - A pilot is flying his aircraft in a vertical loop. He can't ...
- Physics - A pilot, whose mass is 70.0 kg, makes a loop-the-loop in a fast jet. ...

More Related Questions