Answer:
Second drop: 1.04 m
First drop: 1.66 m
Explanation:
Assuming the droplets are not affected by aerodynamic drag.
They are in free fall, affected only by gravity.
I set a frame of reference with the origin at the nozzle and the positive X axis pointing down.
We can use the equation for position under constant acceleration.
X(t) = x0 + v0 * t + 1/2 * a *t^2
x0 = 0
a = 9.81 m/s^2
v0 = 0
Then:
X(t) = 4.9 * t^2
The drop will hit the floor when X(t) = 1.9
1.9 = 4.9 * t^2
t^2 = 1.9 / 4.9

That is the moment when the 4th drop begins falling.
Assuming they fall at constant interval,
Δt = 0.62 / 3 = 0.2 s (approximately)
The second drop will be at:
X2(0.62) = 4.9 * (0.62 - 1*0.2)^2 = 0.86 m
And the third at:
X3(0.62) = 4.9 * (0.62 - 2*0.2)^2 = 0.24 m
The positions are:
1.9 - 0.86 = 1.04 m
1.9 - 0.24 = 1.66 m
above the floor
C
Unbalanced causes something to move because the net force is greater than zero
Answer:
85.62 m
168.75 years
101.04 years
Explanation:
= Length of ship = 143 m
v = Velocity of ship = 0.8c
c = Speed of light
s = Distance to Boralis orbit = 135 ly
Gamma value

Length contraction is given by

The length is 85.62 m
Time taken

Time taken from the perspective one Earth is 168.75 years
Time dilation is given by

The time taken from the perspective of the ship is 101.04 years
Answer:
I'm not 100% sure tbh but the only thing I think makes sense to represent vibration would be frequency which is measure in Hertz (Hz)
Explanation:
Answer:

Explanation:
Work is the product of force and distance.

We know that 96 Joules of work were done and a 16 Newton force was applied to the object.
Substitute the values into the formula.

First, let's convert the units. This will make cancelling units easier later in the problem. 1 Joule (J) is equal to 1 Newton meter (N*m), so the work of 96 Joules equals 96 Newton meters.

Now, solve for distance by isolating the variable, d. It is being multiplied by 16 Newtons and the inverse of multiplication is division. Divide both sides of the equation by 16 N.


The units of Newtons cancel.


The object moved a distance of <u>6 meters.</u>