The correct answer is <span>The car has both potential and kinetic energy, and it is moving at 24.6 m/s.</span>
It is based on the idea that all the present continents were on supercontinent.
Answer:
A. 25.08 s
B. 3082.53 m
C. 3×10⁵ m/s²
Explanation:
A. Determination of the time.
This can be obtained as illustrated below:
Acceleration (a) = –9.8 m/s²
Initial velocity (u) = 245.8 m/s
Final velocity (v) = 0 m/s
Time (t) =.?
v = u + at
0 = 245.8 + (–9.8 × t)
0 = 245.8 – 9.8t
Collect like terms
0 – 245.8 = – 9.8t
– 245.8 = – 9.8t
Divide both side by –9.8
t = –245.8 / –9.8
t = 25.08 s
Therefore, it will take 25.08 s for the car to come to a complete stop.
B. Determination of the distance travelled by the car.
Acceleration (a) = –9.8 m/s²
Initial velocity (u) = 245.8 m/s
Final velocity (v) = 0 m/s
Distance (s) =?
v² = u² + 2as
0² = 245.8² + (2 × –9.8 × s)
0 = 60417.64 – 19.6s
Collect like terms
0 – 60417.64 = – 19.6s
– 60417.64 = – 19.6s
Divide both side by –19.6
s = –60417.64 / –19.6
s = 3082.53 m
Thus, the car travelled a distance of 3082.53 m before stopping completely.
C. Determination of the acceleration of the object.
Initial velocity (u) = 0 m/s
Final velocity (v) = 600 m/s
Distance (s) = 0.6 m
Acceleration (a) =?
v² = u² + 2as
600² = 0² + (2 × a × 0.6)
360000 = 0 + 1.2a
360000 = 1.2a
Divide both side by 1.2
a = 360000 / 1.2
a = 300000 = 3×10⁵ m/s²
TLDR: It will reach a maximum when the angle between the area vector and the magnetic field vector are perpendicular to one another.
This is an example that requires you to investigate the properties that occur in electric generators; for example, hydroelectric dams produce electricity by forcing a coil to rotate in the presence of a magnetic field, generating a current.
To solve this, we need to understand the principles of electromotive forces and Lenz’ Law; changing the magnetic field conditions around anything with this potential causes an induced current in the wire that resists this change. This principle is known as Lenz’ Law, and can be described using equations that are specific to certain situations. For this, we need the two that are useful here:
e = -N•dI/dt; dI = ABcos(theta)
where “e” describes the electromotive force, “N” describes the number of loops in the coil, “dI” describes the change in magnetic flux, “dt” describes the change in time, “A” describes the area vector of the coil (this points perpendicular to the loops, intersecting it in open space), “B” describes the magnetic field vector, and theta describes the angle between the area and mag vectors.
Because the number of loops remains constant and the speed of the coils rotation isn’t up for us to decide, the only thing that can increase or decrease the emf is the change in magnetic flux, represented by ABcos(theta). The magnetic field and the size of the loop are also constant, so all we can control is the angle between the two. To generate the largest emf, we need cos(theta) to be as large as possible. To do this, we can search a graph of cos(theta) for the highest point. This occurs when theta equals 90 degrees, or a right angle. Therefore, the electromotive potential will reach a maximum when the angle between the area vector and the magnetic field vector are perpendicular to one another.
Hope this helps!
Answer: it goes the same speed as the car
Explanation:
