Answer: 42.49
Explanation:
To solve this, we need to keep in mind the following:
While the sphere hangs it is under the effect of gravity. It is creating a Angle of 90° taking the roof as a reference.
Gravity can be noted as a Acceleration Vector. The magnitud for Earth's Gravity is a constant: 9.81 
The acceleration of the Van will affect the sphere also, but this accelaration will be on the X-axis and perpendicular to the gravity. Because this two vectors are taking action under the sphere they will create a angle. This angle can be measured as a relation of the two magnitudes.
Tangent (∅) = Opossite Side / Adyacent Side
By trigonometry, we know the previous formula. This formula allows us to find the Tangent of a angle as a relation between the two perpendiculars magnitudes. In this case the Opossite Side will be the Gravity Accelaration, while the Adyancent Side is the Van's Acceleration.
(1) Tangent (∅) = Gravity's Acceleration (G) / Van's Acceleration (Va)
Searching for the Va in (1)
Va = G/Tan(∅)
Where ∅ in this case is equal to 13.0°
Va = 9.81
/ Tan(13.0°)
Va = 42.49
The vans acceleration need to be 42.49
to create an angle of 13° with the Van's Roof
Answer:
h = 4 in
Explanation:
GIVEN DATA:
volume of tin
we know that
volume of cylinder is 
so,



construct formula for surface area


minimize the function wrt h
solving for h we have
![h = [\frac{4 v}{\pi}]^{1/3}](https://tex.z-dn.net/?f=h%20%3D%20%5B%5Cfrac%7B4%20v%7D%7B%5Cpi%7D%5D%5E%7B1%2F3%7D)
we kow
so
h = 4 in
Answer:
-30°C
Explanation:
F-32/180 =C-0/100
or, -22-32/180=C/100
or, -54/180*100=C
or, -0.3*100=C
therefore, C= -30
-22°F = -30°C
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Answer:
2,800 n
Explanation:
hope this helps, have a nice day/night! :D
14 ms is required to reach the potential of 1500 V.
<u>Explanation:</u>
The current is measured as the amount of charge traveling per unit time. So the charge of electrons required for each current is determined as the product of current with time.

As two different current is passing at two different times, the net charge will be the different in current. So,

The electric voltage on the surface of cylinder can be obtained as the ratio of charge to the radius of the cylinder.

Here
, q is the charge and R is the radius. As
and R =17 cm = 0.17 m, then the voltage will be

The time is required to find to reach the voltage of 1500 V, so


So, 14 ms is required to reach the potential of 1500 V.