Answer:
The velocity of the plane at take off is 160 m/s.
The distance travel by the plane in that time is 3200 meter.
Explanation:
Given:
Acceleration, a = 4 m/s²
Time, t = 40 s
u = 0 i .e initial velocity
To Find:
velocity , v = ?
distance , s =?
Solution:
we have first Kinematic equation
v = u + at
∴ v = 0 + 4×40
∴ v = 160 m/s
Now by Third Kinematic equation
![s = ut + \frac{1}{2}at^{2}](https://tex.z-dn.net/?f=s%20%3D%20ut%20%2B%20%5Cfrac%7B1%7D%7B2%7Dat%5E%7B2%7D)
∴ s = 0 + 0.5 × 4× 40²
∴ s = 3200 meter
A compound is the substances that are formed by combining two are more chemical elements. A mixture is a substance created from two or more matter that can be separate with the help of physical methods. ... Mainly pure water is part of the compound. Mixtures fall under impure water.
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Answer:
10.4 m/s
Explanation:
The problem can be solved by using the following SUVAT equation:
![v=u+at](https://tex.z-dn.net/?f=v%3Du%2Bat)
where
v is the final velocity
u is the initial velocity
a is the acceleration
t is the time
For the diver in the problem, we have:
is the initial velocity (positive because it is upward)
is the acceleration of gravity (negative because it is downward)
By substituting t = 1.7 s, we find the velocity when the diver reaches the water:
![v=+6.3 + (-9.8)(1.7)=-10.4 m/s](https://tex.z-dn.net/?f=v%3D%2B6.3%20%2B%20%28-9.8%29%281.7%29%3D-10.4%20m%2Fs)
And the negative sign means that the direction is downward: so, the speed is 10.4 m/s.
We can approach this in another way.
We know that sin(∅) = height / hypotenuse.
Thus, for x, height is 1 and hypotenuse is 3. Using Pythagoras theorem,
3² = 1² + b²
b = √8
cos(x) = b/hypotenuse
cos(x) = √8 / 3
Now, lets consider y:
sec(y) = 1 / cos(y) = 1 / base / hypotenuse = hypotenuse / base
The hypotenuse is 25 and the base is 24. We again apply Pythagoras theorem to find the third side, which works out to be:
height = 7
sin(y) = height / hypotenuse
sin(y) = 7/25
Now, sin(x + y) =
sin(x)cos(y) + sin(y)cos(x)
= (1/3)(24/25) + (√8 / 3)(7/25)
= 8/25 + 7√8/75
= (24 + 14√2) / 75
Answer:
-223.64684 J
Explanation:
F = Force that is applied to the crate = 68 N
s = Displacement of the crate = 3.5 m
= Angle between the force and displacement vector = (180-20)
Work done is given by
![W=Fscos\theta\\\Rightarrow W=68\times 3.5\times cos(180-20)\\\Rightarrow W=-223.64684\ J](https://tex.z-dn.net/?f=W%3DFscos%5Ctheta%5C%5C%5CRightarrow%20W%3D68%5Ctimes%203.5%5Ctimes%20cos%28180-20%29%5C%5C%5CRightarrow%20W%3D-223.64684%5C%20J)
The work that Paige does on the crate is -223.64684 J