Answer:Ek=673.109 kJ
Explanation:
Use equation for Kinetic energy: Ek=m*V²/2
m=650 kg (mass of roller coaster)
V=20.0Miles/s=20.0*1.609m/s=32.18m/s
Ek=m*V²/2
Ek=650kg*(32.18m/s)²
Ek=(650kg*1053.55m²/s²)/2
Ek=673 108.8 J
Ek=673.109 kJ
<span>0.13 miles are equal to 209 meters or 228.8 yards and the human walking speed is about 3.1 miles per hour, with all those calculations we can say that every 0.05 miles would take an average person about 1 minute, and if we add 0.10 + 0.03 it would be about 4-5 minutes to travel that short distance.</span>
Answer:
72.53 mi/hr
Explanation:
From the question given above, the following data were obtained:
Vertical distance i.e Height (h) = 8.26 m
Horizontal distance (s) = 42.1 m
Horizontal velocity (u) =?
Next, we shall determine the time taken for the car to get to the ground.
This can be obtained as follow:
Height (h) = 8.26 m
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) =?
h = ½gt²
8.26 = ½ × 9.8 × t²
8.26 = 4.9 × t²
Divide both side by 4.9
t² = 8.26 / 4.9
Take the square root of both side by
t = √(8.26 / 4.9)
t = 1.3 s
Next, we shall determine the horizontal velocity of the car. This can be obtained as follow:
Horizontal distance (s) = 42.1 m
Time (t) = 1.3 s
Horizontal velocity (u) =?
s = ut
42.1 = u × 1.3
Divide both side by 1.3
u = 42.1 / 1.3
u = 32.38 m/s
Finally, we shall convert 32.38 m/s to miles per hour (mi/hr). This can be obtained as follow:
1 m/s = 2.24 mi/hr
Therefore,
32.38 m/s = 32.38 m/s × 2.24 mi/hr / 1 m/s
32.38 m/s = 72.53 mi/hr
Thus, the car was moving at a speed of
72.53 mi/hr.
By definition, centripetal acceleration is given by:
Where,
v: tangential disk speed
r: disk radius
Substituting values in the given equation we have:
Rounding the result we have:
Answer:
The centripetal acceleration of the disc edge in m/s^2 is:
The correct answer would be C
