# physics

posted by .

An airplane moves 243 m/s as it travels
around a vertical circular loop which has a
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
.

• physics -

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 -

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

## Similar Questions

1. ### physics

A aeroplane with a mass of 9940 kg completes a vertical loop of radius 155m/s. What normal force does the airplane seat exert on the 92 kg pilot at the top of the loop and at the bottom of the loop?
2. ### physics

A aeroplane with a mass of 9940 kg completes a vertical loop of radius 596m with a speed of 155m/s. What normal force does the airplane seat exert on the 92 kg pilot at the top of the loop and at the bottom of the loop?
3. ### Physics

A pilot of mass 65 kg in a jet aircraft makes a complete vertical circle in mid-air. The vertical circle has a radius of 1.70 km at a constant speed of 215 m/s. Determine the force of the seat on the pilot at (a) the bottom of the …
4. ### Physics

A pilot of mass 65 kg in a jet aircraft makes a complete vertical circle in mid-air. The vertical circle has a radius of 1.70 km at a constant speed of 215 m/s. Determine the force of the seat on the pilot at (a) the bottom of the …
5. ### Physics

A pilot flies an airplane in a vertical circular loop at a constant speed õ = 160 m/s. If the pilot’s apparent weight at the top of the loop is one-third of his true weight when he is on the ground, find the radius R of the plane’s …
6. ### PHYSICS Gr 12

A pilot is flying his aircraft in a vertical loop. He can't stand "feeling" more than 7.0 g's at the bottom of the loop. If he travels at 800km/h, what is the radius of his loop?
7. ### physics

consider the magnitude of the normal force that the pilot's seat exerts on him at the bottom of a dive. The plane is traveling at 273 m/s on a vertical circle of radius 706 m. Determine the ratio of the normal force to the magnitude …