Answer:
Explanation:
Given
Volume of paint is ![V=3.79\times 10^{-3}\ m^3](https://tex.z-dn.net/?f=V%3D3.79%5Ctimes%2010%5E%7B-3%7D%5C%20m%5E3)
Area of cover ![A=25\ m^2](https://tex.z-dn.net/?f=A%3D25%5C%20m%5E2)
Suppose paint to be a rectangular box with thickness t and volume V
therefore we can write as
![V=A\times t](https://tex.z-dn.net/?f=V%3DA%5Ctimes%20t)
![t=\frac{V}{A}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7BV%7D%7BA%7D)
![t=\frac{3.79\times 10^{-3}}{25}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B3.79%5Ctimes%2010%5E%7B-3%7D%7D%7B25%7D)
![t=1.516\times 10^{-3}\ m](https://tex.z-dn.net/?f=t%3D1.516%5Ctimes%2010%5E%7B-3%7D%5C%20m)
Answer:
7.5 m
Explanation:
= initial speed of the ball = 8 m/s
= angle of launch = 40° deg
Consider the motion along the vertical direction :
= initial velocity along vertical direction =
= 8 Sin40 = 5.14 m/s
= acceleration along vertical direction = - 9.8 m/s²
= time of travel
= vertical displacement = - 1 m
Using the kinematics equation
![y = v_{oy}t + (0.5)a_{y}t^{2}](https://tex.z-dn.net/?f=y%20%3D%20v_%7Boy%7Dt%20%2B%20%280.5%29a_%7By%7Dt%5E%7B2%7D)
![- 1 = (5.14)t + (0.5)(- 9.8)t^{2](https://tex.z-dn.net/?f=-%201%20%3D%20%285.14%29t%20%2B%20%280.5%29%28-%209.8%29t%5E%7B2)
= 1.22 sec
Consider the motion along the horizontal direction :
= initial velocity along horizontal direction =
= 8 Cos40 = 6.13 m/s
= acceleration along vertical direction = 0 m/s²
= time of travel = 1.22 sec
= horizontal displacement = ?
Using the kinematics equation
![x = v_{ox}t + (0.5)a_{x}t^{2}](https://tex.z-dn.net/?f=x%20%3D%20v_%7Box%7Dt%20%2B%20%280.5%29a_%7Bx%7Dt%5E%7B2%7D)
![x = (6.13)(1.22) + (0.5)(0)(1.22)^{2](https://tex.z-dn.net/?f=x%20%3D%20%286.13%29%281.22%29%20%2B%20%280.5%29%280%29%281.22%29%5E%7B2)
= 7.5 m
G=?
m=7.35*10^22kg
r=1.74*10^6m
G=6.67*10^-11nm^2kg^-2
you can use the formula
g=Gm/r^2
32.5 kg of air
Explanation:
To calculate the mass of the air, we use the density formula:
density = mass / volume
mass = density × volume
density of air = 1.3 kg/m³
volume = 5 × 3 × 2 = 25 m³
mass of the air = 1.3 kg/m³ × 25 m³
mass of the air = 32.5 kg
Learn more about:
density
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