The problem states that the distance travelled (d) is
directly proportional to the square of time (t^2), therefore we can write this in
the form of:
d = k t^2
where k is the constant of proportionality in furlongs /
s^2
<span>Using the 1st condition where d = 2 furlongs, t
= 2 s, we calculate for the value of k:</span>
2 = k (2)^2
k = 2 / 4
k = 0.5 furlongs / s^2
The equation becomes:
d = 0.5 t^2
Now solving for d when t = 4:
d = 0.5 (4)^2
d = 0.5 * 16
<span>d = 8 furlongs</span>
<span>
</span>
<span>It traveled 8 furlongs for the first 4.0 seconds.</span>
Answer:
(A) L = 115.3kgm²/s
(B) dL/dt = 94.1kgm²/s²
Explanation:
The magnitude of the angular momentum of the rock is given by the foemula
L = mvrSinθ
We have been given θ = 36.9°, m = 2.0kg, v = 12.0m/s and r = 8.0m.
Therefore L = 2.00 × 12 × 8.0 × Sin 36.9° =
115.3 kgm²/s
(B) The magnitude of the rate of angular change in momentum is given by
dL /dt = d(mvrSinθ)/dt = mgrSinθ = 2.00 × 9.8 × 8.0× Sin36.9 = 94.1kgm²/s²
atomic mass of carbon is C = 12 g/mol
atomic mass of hydrogen is H = 1 g/mol
now number of carbon atoms
Similarly the number of hydrogen atoms are
so Carbon atom and hydrogen atom must be in ratio of 10:30
so the ratio is 1:3
now the empirical formula is always in simplest form
Answer: average speed
The overall rate of speed at which an object moves: calculated by dividing the total distance an object travels by the total time
instantaneous speed > The speed of an object at one instant in time.
velocity > Speed in a given direction
First what is an equivalent angle for 310 degrees rotated counter clockwise? -50 degrees. so we're in the fourth quadrant. meaning X must be positive and Y must be negative.
use your sine and cosine functions to get the answers now. we know sine relates to Y so use 37sine(-50) equals about -28.3
cosine relates to X so use 37cos(-50) equals about 23.8
