Answer:
(a) 41.75m/s
(b) 4.26s
Explanation:
Let:
Distance, D = 89m
Gravity,
= 9.8 m/![s^{2}](https://tex.z-dn.net/?f=s%5E%7B2%7D)
Initial Velocity,
= 0m/s
Final Velocity,
= ?
Time Taken,
= ?
With the distance formula, which is
D =
+ ![\frac{1}{2} gt^2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20gt%5E2)
and by substituting what we already know, we have:
89 =
×9.8×![t^{2}](https://tex.z-dn.net/?f=t%5E%7B2%7D)
With the equation above, we can solve for
:
![t=\sqrt{\frac{89(2)}{9.8}} \\t=\sqrt{\frac{178}{9.8} } \\t=\sqrt{18.16} \\t=4.26 seconds](https://tex.z-dn.net/?f=t%3D%5Csqrt%7B%5Cfrac%7B89%282%29%7D%7B9.8%7D%7D%20%5C%5Ct%3D%5Csqrt%7B%5Cfrac%7B178%7D%7B9.8%7D%20%7D%20%5C%5Ct%3D%5Csqrt%7B18.16%7D%20%5C%5Ct%3D4.26%20seconds)
Now that we have solved
, we can use the following velocity formula to solve for
:
, where
is also equals to
, so we have
![v = u + gt](https://tex.z-dn.net/?f=v%20%3D%20u%20%2B%20gt)
By substituting
,
, and
,
We have:
![v = 0 + 9.8(4.26)\\v = 41.75m/s](https://tex.z-dn.net/?f=v%20%3D%200%20%2B%209.8%284.26%29%5C%5Cv%20%3D%2041.75m%2Fs)
Answer:
second is the SI unit of time
Answer:
Force = 485000 Newton.
Explanation:
Given the following data;
Mass = 485000 kg
Initial velocity = 20m/s
Final velocity = 25m/s
Time, t = 5 seconds
To find the force;
First of all, we would calculate the acceleration of the train i.e the rate of change of the velocity of the train with respect to time.
Mathematically, acceleration is given by the equation;
![Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}](https://tex.z-dn.net/?f=Acceleration%20%28a%29%20%3D%20%5Cfrac%7Bfinal%20%5C%3B%20velocity%20%20-%20%20initial%20%5C%3B%20velocity%7D%7Btime%7D)
![a = \frac{v - u}{t}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7Bv%20%20-%20%20u%7D%7Bt%7D)
Where;
a is acceleration measured in ![ms^{-2}](https://tex.z-dn.net/?f=ms%5E%7B-2%7D)
v and u is final and initial velocity respectively, measured in ![ms^{-1}](https://tex.z-dn.net/?f=ms%5E%7B-1%7D)
t is time measured in seconds.
Substituting into the equation, we have;
Acceleration = (25 - 20)/5
Acceleration = 5/5
Acceleration = 1m/s²
Force is given by the multiplication of mass and acceleration.
Mathematically, Force is;
Force = mass * acceleration
Force = 485000 * 1
Force = 485000 Newton.
Helix Nebula is a cloud of gases and dust that surrounds a white dwarf.
Thanks hope I am right.
Answer:
N=mg
g=10-3=7
n=40×7
n=280
Explanation:
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