To solve this problem we will apply the concepts related to the centripetal Force and the Force given by weight and formulated in Newton's second law. Through the two expressions we can find the radius of curve made in the hand. To calculate the normal force, we will include the concepts of sum of forces to obtain the net force on the body at the top and bottom of the maneuver. The expression for centripetal force acting on the jet is

According to Newton's second law, the net force acting on the jet is
F = ma
Here,
m = mass
a = acceleration
v = Velocity
r = Radius
PART A ) Equating the above two expression the equation for radius is


Replacing with our values we have that
![r = \frac{(1140km/hr[\frac{1000m}{1km}\frac{1hour}{3600s}])^2}{7(9.8m/s^2)}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B%281140km%2Fhr%5B%5Cfrac%7B1000m%7D%7B1km%7D%5Cfrac%7B1hour%7D%7B3600s%7D%5D%29%5E2%7D%7B7%289.8m%2Fs%5E2%29%7D)

PART B )
<u>- The expression for effective weight of the pilot at the bottom of the circle is</u>

![N = (69kg)(9.8m/s^2)+\frac{(69)(1140km/hr[\frac{1000m}{1km}\frac{1hour}{3600s}])^2}{1.462*10^3m}](https://tex.z-dn.net/?f=N%20%3D%20%2869kg%29%289.8m%2Fs%5E2%29%2B%5Cfrac%7B%2869%29%281140km%2Fhr%5B%5Cfrac%7B1000m%7D%7B1km%7D%5Cfrac%7B1hour%7D%7B3600s%7D%5D%29%5E2%7D%7B1.462%2A10%5E3m%7D)

<em>Note that the normal reaction N is directed upwards and gravitational force mg is directed downwards. At the bottom of the circle, the centripetal force is directed upwards. So the centripetal force is obtained from the gravitational force and the normal reaction. </em>
<u>- The expression for effective weight of the pilot at the top of the circle is</u>

![N = (69kg)(9.8m/s^2)-\frac{(69)(1140km/hr[\frac{1000m}{1km}\frac{1hour}{3600s}])^2}{1.462*10^3m}](https://tex.z-dn.net/?f=N%20%3D%20%2869kg%29%289.8m%2Fs%5E2%29-%5Cfrac%7B%2869%29%281140km%2Fhr%5B%5Cfrac%7B1000m%7D%7B1km%7D%5Cfrac%7B1hour%7D%7B3600s%7D%5D%29%5E2%7D%7B1.462%2A10%5E3m%7D)

<em>Note that at the top of the circle the centripetal force is directed downwards. So the centripetal force is obtained from normal reaction and the gravitational force. </em>
Answer: 2000 watts
Explanation:
Given that,
power = ?
Weight of object = 200-N
height = 4 m
Time = 4 s
Power is the rate of work done per unit time i.e Power is simply obtained by dividing work by time. Its unit is watts.
i.e Power = work / time
(since work = force x distance, and weight is the force acting on the object due to gravity)
Then, Power = (weight x distance) / time
Power = (200N x 4m) / 4s
Power = 8000Nm / 4s
Power = 2000 watts
Thus, 2000 watts of power is needed to lift the object.
Answer:
The conditions necessary for hearing the echo. The distance between the sound source and the reflecting surface must not be less than 17 metres where the time period between hearing the original sound and its echo should not be less than 0.1 of a second.
Answer: Friction also prevents an object from starting to move, such as a shoe placed on a ramp. When friction acts between two surfaces that are moving over each other, some kinetic energy is transformed into heat energy. Friction can sometimes be useful.
Explanation: