Answer:
24.83 m
Explanation:
Applying the equation of motion;
d = vt + 0.5at^2 ......1
Where;
d = distance
v = velocity
t = time
a = acceleration
For the trooper;
v = 28 m/s
a = 2.9 m/s^2
Substituting into equation 1;
d1 = 28t + 0.5(2.9t^2)
d1 = 28t + 1.45t^2
For the red car;
v = 40 m/s
a = 0
Substituting into equation 1
d2 = 40t
The difference in distance is;
d = d2 - d1
d = 40t - (28t + 1.45t^2)
d = 12t - 1.45t^2
The maximum distance is at d(d)/dt = 0
differentiating d;
d' = 12 - 2.9t = 0
2.9t = 12
t = 12/2.9 = 4.137931034482
t = 4.138 s
Substituting t into function d;
d(max) = 12(4.138) - 1.45(4.138^2)
d(max) = 24.8275862 = 24.83 m
the maximum distance ahead of the trooper that is reached by the red car is 24.83 m
Energy transfer is the changing of the form of energy. In this example, the form of energy changed from chemical, to kinetic, to gravitational, to then sound and internal energy.
Answer:
(a) 7 m/s
(b) 931 rad/s
(c) 0.716 s
Explanation:
Gravity would be exerting on the 2 masses
Since heavier, mass 1 (M) would be the one pulling down, while mass 2 is being pulled up.
So the net force on mass 1 is
This force would generate torque on the solid pulley
We can also calculate the pulley moments of inertia, with it being solid
From there we can calculate the angular acceleration of the pulley, which generates the entire system motion
Since the system is moved by a distance of d = 2.5m, the pulley would have turn an angle of
(c)The time it takes to get to this distance is
(b)The final angular speed of the disk is
(a) And so the perimeter speed of the pulley, which is also speed of mass 1 when it comes to d = 2.5 m is
Answer:
8.46E+1
Explanation:
From the question given above, the following data were obtained:
Charge 1 (q₁) = 39 C
Charge 2 (q₂) = –53 C
Force (F) of attraction = 26×10⁸ N
Electrical constant K) = 9×10⁹ Nm²/C²
Distance apart (r) =?
The distance between the two charges can be obtained as follow:
F = Kq₁q₂ / r²
26×10⁸ = 9×10⁹ × 39 × 53 / r²
26×10⁸ = 1.8603×10¹³ / r²
Cross multiply
26×10⁸ × r² = 1.8603×10¹³
Divide both side by 26×10⁸
r² = 1.8603×10¹³ / 26×10⁸
r² = 7155
Take the square root of both side
r = √7155
r = 84.6 m
r = 8.46E+1 m
Sound travels fastest in solids. A sound is a vibration that travels in a longitudinal direction through a medium in the form of a mechanical wave.
<h3>What is sound?</h3>
A sound is a vibration that travels in a longitudinal direction through a medium in the form of a mechanical wave.
It can propagate through a solid, a liquid, or a gas as its medium. Solids go the fastest, liquids are slower, and gases are the slowest.
Sound travels the quickest through a solid because the molecules are packed together densely, allowing sound waves to leap from one molecule to the next more quickly.
Because the molecules in solids are packed the tightest, sound travels the quickest through them, whereas sound travels the slowest through gases.
To learn more about the sound refer to the link;
brainly.com/question/927975
