Answer:
180.28 km/h
Explanation:
Let north and south represent the positive and negative y axis and east and west represent the positive and negative x axis.
Given;
Velocity of wind vx= 100 km/s
Velocity of aircraft in still air vy = 150 km/s
The resultant velocity Vr is;
Vr = √(vx^2 + vy^2)
Vr = √(100^2 + 150^2)
Vr = 180.2775637731 km/h
Vr = 180.28 km/h
It is calculated that a)The angular velocity of the wheel is 272.13 rad/s,
b)On the edge of the grinding wheel, the linear speed is 47.62 m/s,
and c) On the edge of the grinding wheel, the acceleration is 12958.08 m/s².
Calculation of angular velocity, linear speed & acceleration:
Provided that,
the diameter of the wheel = 0.35 m
So, the radius, r = 0.35/2 = 0.175 m
As 1 revolution = 2π rad
(a)the angular velocity, ω = 2600 rpm =
rad/s
⇒ω = 272.13 rad/s
So, the angular velocity is 272.13 rad/s.
(b)The linear speed, v = r * ω
⇒v = 0.175 * 272.13
⇒v= 47.62 m/s
(c)The angular acceleration, 
⇒
= 12958.08 m/s²
Learn more about angular velocity here:
brainly.com/question/13649539
#SPJ1
This question involves the concepts of the law of conservation of energy, kinetic energy, and potential energy.
The height of the hill is "166.76 m".
<h3>LAW OF CONSERVATION OF ENERGY:</h3>
According to the law of conservation of energy at the highest point of the roller coaster ride, that is, the hill, the whole (maximum) kinetic energy of the roller coaster is converted into its potential energy:

where,
- h = height of the hill = ?
= maximum velocity = 57.2 m/s
- g = acceleration due to gravity = 9.81 m/s²
Therefore,

<u>h = 166.76 m</u>
Learn more about the law of conservation of energy here:
brainly.com/question/101125
Answer:
(a)
(b) h is the same
Explanation:
According to the law of conservation of energy:

The skier starts from rest, so
and we choose the zero point of potential energy in the end of the ramp, so
. We calculate the final speed, that is, the speed when the skier leaves the ramp:

Finally, we calculate the maximum height h above the end of the ramp:

The initial vertical speed is given by:

and the final speed is zero, solving for h:

(b) We can observe that the height reached does not depend on the mass of the skier
The electrostatic force between the two ions is 
Explanation:
The electrostatic force between two charged particle is given by Coulomb's law:

where
is the Coulomb's constant
are the two charges
r is the separation between the two charges
In this problem, the ion of sodium has a charge of

while the ion of chlorine has a charge of

And the distance between the two ions is

Substituting, we find the electrostatic force between the two ions:

where the negative sign simply means that the force is attractive, since the two ions have opposite charge.
Learn more about electrostatic force:
brainly.com/question/8960054
brainly.com/question/4273177
#LearnwithBrainly