To solve this problem it is necessary to apply the concepts related to the Period based on gravity and length.
Mathematically this concept can be expressed as

Where,
l = Length
g = Gravitational acceleration
First we will find the period that with the characteristics presented can be given on Mars and then we can find the length of the pendulum at the desired time.
The period on Mars with the given length of 0.99396m and the gravity of the moon (approximately
will be



For the second question posed, it would be to find the length so that the period is 2 seconds, that is:



Therefore, we can observe also that the shorter distance would be the period compared to the first result given.
Answer:
let the speed of Allegra be x mph, then speed of Elliana is x+4 mph,
time to cover distance for Eliana is 2 hours, time to cover distance for Allegrais 2.5 hours,
since they both cover the same distance you have this,
distance (of Eliana) = distance (of Allegrais ),
distance=speed x time, so we have
speed (of Eliana) x time (of Eliana) = speed (of Allegra) x time (of Allegra),
2(x+4)=2.5x,
solve for x, then substitute back for speeds for Eliana and Allegra,
Eliana's speed = 16 + 4 = 20.
Allegra's speed = 16
Answer:
The circuit contains a filament bulb, connected with terminal to a terminal.
Explanation:
The base of the electric bulb and the metal tip of the base are the two terminals of the bulb. One is called a positive terminal while the other is called a negative terminal. The filament of the electric bulb is connected to its terminals.
y = 0m
y0 = 166m
v0y = 0 m/s
g = 9.8 m/s^2
t = ?
Solve for t:
y = y0 + v0y*t - (0.5)gt^2
0 = 166 - (0.5)(9.8)t^2
t = 5.82 s
Now, using time, we can solve for the range using the equation:
x = vx(t)
x = (40)(5.82)
x = 232.8 m
The impact horizontal component of velocity will be 40 m/s as velocity in terms of x is always constant. To find the impact vertical component of velocity, we use the equation:
v = v0y - gt
v = 0 - (9.8)(5.82)
v = -57.04 m/s
Answer:
The answers are:
T, T, F, F, T, T, F, F, T, T, F
Good luck!