Answer:
= 1,386 m / s
Explanation:
The mechanism behind rocket propulsion is defined by the formula
- v₀ =
ln (M₀ / Mf)
Here, v refers to the initial, final, and relative velocities, while M indicates the masses
The provided values include the relative velocity (see = 2000 m / s) and the initial mass, where the mass of the rocket when loaded is represented as (M₀ = 5Mf)
For our analysis, we assume the rocket begins at rest (v₀ = 0)
Once half of the fuel has burnt, the mass ratio indicates that the current mass is
M = 2.5 Mf
- 0 = 2000 ln (5Mf / 2.5 Mf) = 2000 ln 2
= 1,386 m / s
The rod measures 450mm in length, while the disk has a radius of 75mm. An upward-supporting pin holds the assembly in place when Θ=0, and there exists a torsional spring with a constant of k=20N m/rad at the pin. One end of the rod connects to the pin, while the other connects to the disk.
Answer:
The canyon measures 50.176 meters deep.
Explanation:
The student drops a rock from the rim of the canyon, requiring us to ascertain the depth of the canyon—name how far the ground is below the cliff.
The data we have:
Time = t = 3.2 s
Initial velocity =
= 0 m/s
Gravitational acceleration = g = 9.8 m/s²
Height = h =?
According to the second equation of motion

Given the initial velocity is zero, the right-hand side of the equation simplifies to zero

h = (0.5)(9.8)(3.2)²
h = 50.176 m
This calculation indicates that the rock dropped a distance of 50.176 meters to reach the canyon's base. Thus,
the canyon depth is 50.176 meters.
The result will be 21.6, but rounding yields 22J.
To determine the power dissipated by the oven, we can use the known voltage of 120 volts and a current of 12.5 amperes.
The power formula is P=V*I, where "V" indicates voltage and "I" represents current.
Thus, P=120*12.5
As a result, P=1500 watts.
This means the answer is 1500 watts.