Answer:
213 s
Explanation:
Slope is the ratio of change in vertical distance to change in horizontal distance.
Slope = vertical height / horizontal height
Therefore:
6.4% = vertical height / 12.42
vertical height = 6.4% * 12.42
vertical height = 0.8 miles
The distance travelled by the car (s) is:
s² = 0.8² + 12.42²
s² = 154.9
s = 12.45 miles
Acceleration (a) = 2.93 ft/s^2 = 0.00055 mile/s²
initial velocity (u) = 0, final velocity = 203 mph
Using:
s = ut + 0.5at²
12.45 = 0.5(0.00055)t²
t =213 s
To solve this problem it is necessary to apply the concepts related to momentum, momentum and Force. Mathematically the Impulse can be described as
![I = F*t](https://tex.z-dn.net/?f=I%20%3D%20F%2At)
Where,
F= Force
t= time
At the same time the moment can be described as a function of mass and velocity, that is
![P = m\Delta v \rightarrow P=m(v_1-v_2)](https://tex.z-dn.net/?f=P%20%3D%20m%5CDelta%20v%20%5Crightarrow%20P%3Dm%28v_1-v_2%29)
Where,
m = mass
v = Velocity
From equilibrium the impulse is equal to the momentum, therefore
![I = p](https://tex.z-dn.net/?f=I%20%3D%20p)
![Ft = m(v_1-v_2)](https://tex.z-dn.net/?f=Ft%20%3D%20m%28v_1-v_2%29)
PART A) Since the body ends at rest, we have the final speed is zero, so the momentum would be
![p=m(v_1-v_2)](https://tex.z-dn.net/?f=p%3Dm%28v_1-v_2%29)
![p = 75*0.15](https://tex.z-dn.net/?f=p%20%3D%2075%2A0.15)
![p = 1125Kg\cdot m/s](https://tex.z-dn.net/?f=p%20%3D%201125Kg%5Ccdot%20m%2Fs)
Therefore the magnitude of the person's impulse is 1125Kg.m/s
PART B) From the equation obtained previously we have that the Force would be:
![Ft = m(v_1-v_2)](https://tex.z-dn.net/?f=Ft%20%3D%20m%28v_1-v_2%29)
![F(0.025)= 1125](https://tex.z-dn.net/?f=F%280.025%29%3D%201125)
![F= 45000N](https://tex.z-dn.net/?f=F%3D%2045000N)
Therefore the magnitude of the average force the airbag exerts on the person is 45000N
Of course! If it's harmful, then your exposure to it should be kept
to a minimum. That's a no-brainer. But the sun's infrared radiation
is generally less harmful than its ultraviolet radiation is.
Wave speed = (wavelength) x (frequency)
Wavelength = (wave speed) / (frequency)
Wavelength = (9 m/s) / (0.5 Hz)
<em>Wavelength = 18 m</em>