Answer:
Final velocity = 16 m/s
Total distane travelled = 390 m
Explanation:
We can use equation of motion to solve this:
Frequency because all the other things may have to do with energy but frequency is the one that has to do with number of wavelength passed by a certain point or a certain time
<u>Final Velocity = 14m/s</u>
<u>Displacement = 56m</u>
Explanation:
U (initial velocity) = 2m/s
A (acceleration) = 3m/s^2
T (time) = 4s
v (final velocity) = ?
S (displacement) = ?
<u>FIRST FIND FINAL VELOCITY:</u>
(i) Multiply both sides by t:
(ii) Add u to both sides:
(iii) rearrange formula:
v = ( 3 × 4 ) + 2
v = 12 + 2
<u>v = 14m/s</u>
<u>SECOND FIND DISPLACEMENT:</u>
(i) Multiply both sides by t:
(ii) Rearrange formula:
s = 14 × 4
<u>s = 56m</u>
Not sure why it isn't one of the options but im pretty sure I did all the steps right...
Weight = (mass) x (gravity).
It always acts downward.
On Earth, the acceleration of gravity is 9.807 m/s².
On the Moon, the acceleration of gravity is 1.623 m/s².
On Earth, the rocket's weight is (0.8kg) x (9.8 m/s²) = 7.84 newtons
On the Moon, the rocket's weight is (0.8kg) x (1.62 m/s²) = 1.3 newtons
The force of the rocket engine acts upward.
Its magnitude is 12 newtons. (From the burning chemicals.
Doesn't depend on local gravity. Same force everywhere.)
Now we have all the data we need to mash together and calculate the
answers to the question. You might choose a different method, but the
machine that I have selected to do the mashing with is Newton's 2nd law
of motion:
Net Force = (mass) x (acceleration).
Since the question is asking for acceleration, let's first solve Newton's law
for it. Divide each side by (mass) and we have
Acceleration = (net force) / (mass) .
On Earth, the forces on the rocket are
(weight of 7.84 N down) + (blast of 12 N up) = 4.16 newtons UP (net)
Acceleration = (4.16 newtons UP) / (0.8 kg) = 5.2 m/s² UP .
On the moon, the forces on the rocket are
(weight of 1.3 N down) + (blast of 12 N up) = 10.7 newtons UP (net)
Acceleration = (10.7 newtons UP) / (0.8 kg) = 13.375 m/s² UP