<span>x = 129.9 m
y = 30.9 m
First, let's calculate the horizontal and vertical velocities involved
h = 50.0cos(30) = 43.30127 m/s
v = 50.0sin(30) = 25 m/s
The horizontal distance is simply the horizontal velocity multiplied by the time, so
43.30127 m/s * 3 s = 129.9 m
So the horizontal distance traveled is 129.9 m, so x = 129.9 m
The vertical distance needs to take into account gravity which provides an acceleration of -9.8 m/s^2, so we get
d = 25 m/s * 3s - 0.5*9.8 m/s^2 * (3 s)^2
d = 75 m - 4.9 m/s^2 * 9 s^2
d = 75 m - 44.1 m
d = 30.9 m
So the vertical distance traveled is 30.9 m, so y = 30.9 m</span>
Answer:
11.8 m/s
Explanation:
At the top of the hill, there are two forces on the car: weight force pulling down (towards the center of the circle), and normal force pushing up (away from the center of the circle).
Sum of forces in the centripetal direction:
∑F = ma
mg − N = m v²/r
At the maximum speed, the normal force is 0.
mg = m v²/r
g = v²/r
v = √(gr)
v = √(9.8 m/s² × 14.2 m)
v = 11.8 m/s
Answer:
a)
, b)
, c) 
Explanation:
a) The turbine is modelled by means of the First Principle of Thermodynamics. Changes in kinetic and potential energy are negligible.

The mass flow rate is:

According to property water tables, specific enthalpies and entropies are:
State 1 - Superheated steam




State 2s - Liquid-Vapor Mixture




The isentropic efficiency is given by the following expression:

The real specific enthalpy at outlet is:



State 2 - Superheated Vapor




The mass flow rate is:


b) The temperature at the turbine exit is:

c) The rate of entropy generation is determined by means of the Second Law of Thermodynamics:




Answer:
Be and Cl
Explanation:
This pair will form an ionic bond because Be is a metal while Cl is a nonmetal.'
Ionic bonds are bonds between nonmetals and metals.
Explanation:
Using equation of motion to determine the acceleration of the car,
vf^2 = vi^2 + 2 * a * S,
vf = 0
0 = vi^2 + 2 * a * S
Converting mph to m/s,
3 mph * 5280 ft/mi * 12 in/ft * 2.54 cm/in * 1 m/100 cm * 1 h/3600 s
= 3 * 0.445
v = 1.335 m/s
Converting in to m,
2 in * 2.54 cm/in * 1 m/100 cm = 0.0254 m
= 2 * 0.0254
S = 0.0508 m
0 = 1.335^2 + 2 * a * 0.0508
a = -1.335^2 ÷ 0.1013
= -17.54 m/s^2
Mass of car (assumed) = 2000 kg
Force = ma
= 2000 × 17.54
= 35.08 kN.