For rectilinear motions, derived formulas all based on Newton's laws of motion are formulated. The equation for acceleration is
a = (v2-v1)/t, where v2 and v1 is the final and initial velocity of the rocket. We know that at the end of 1.41 s, the rocket comes to a stop. So, v2=0. Then, we can determine v1.
-52.7 = (0-v1)/1.41
v1 = 74.31 m/s
We can use v1 for the formula of the maximum height attained by an object thrown upwards:
Hmax = v1^2/2g = (74.31^2)/(2*9.81) = 281.42 m
The maximum height attained by the model rocket is 281.42 m.
For the amount of time for the whole flight of the model rocket, there are 3 sections to this: time at constant acceleration, time when it lost fuel and reached its maximum height and the time for the free fall.
Time at constant acceleration is given to be 1.41 s. Time when it lost fuel covers the difference of the maximum height and the distance travelled at constant acceleration.
2ax=v2^2-v1^2
2(-52.7)(x) = 0^2-74.31^2
x =52.4 m (distance it covered at constant acceleration)
Then. when it travels upwards only by a force of gravity,
d = v1(t) + 1/2*a*t^2
281.42-52.386 = (0)^2+1/2*(9.81)(t^2)
t = 6.83 s (time when it lost fuel and reached its maximum height)
Lastly, for free falling objects, the equation is
t = √2y/g = √2(281.42)/9.81 = 7.57 s
Therefore, the total time= 1.41+6.83+7.57 = 15.81 s
Answer:
17.27m/s
Explanation:
M1U1 + M2U2 = (M1+M2)V
(900x15) + (750 x 20) = (900+750)V
13500+15000 = (1650)V
28500 = 1650v
V = 28500/1650 = 17.27m/s
V = 17.27m/s
Answer:
More people give more importance to their body because they want to be liked and fit in. They would rather fail in school and mess up their education to show off their body to be one of those cool kids in school.
Explanation:
Answer:
V = 5.67 V
Q' = 2.09 x 10^-4 C
Explanation:
Potential difference, V = 5.67 V
Charge, Q = 3.49 x 10^-5 C
dielectric constant, K = 5.99
Capacitance of the capacitor
C = Q / V = 3.49 x 10^-5 / 5.67 = 6.15 x 10^-6 F
Now the dielectric is inserted, so,
C' = K x C = 5.99 x 6.15 x 10^-6 = 3.687 x 10^-5 F
After insertion of dielectric, as the battery is connected, so potential difference remains same.
Charge, Q' = C' x V = 3.687 x 10^-5 x 5.67 = 2.09 x 10^-4 C
In plate tectonics, Earth's outermost layer, or lithosphere—made up of the crust and upper mantle—is broken into large rocky plates. These plates lie on top of a partially molten layer of rock called the asthenosphere.
Tectonic processes build landforms mainly by causing the uplift or subsidence of rock material—blocks, layers, or slices of the Earth's crust, molten lavas, and even large masses that include the entire crust and uppermost part of the planet’s mantle.
These support the tectonic theory by showing they are byproducts and are substantial evidence to show how the tectonic theory impacts earth.
Hope this helps!
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