Answer - 12,900 Newtons
Explanation
First, we find the volume of the water
Volume = Area * Heinght
= 1.5 m² x 7 m
= 10.5 m³
Covert the volume to liters
1 m³ of water = 1000 liters
10.5 m³ of water = 10.5 m³ * 1000 liters liter/m³
= 10,500 liters
Use the volume of water to calculate the mass
1 liter of water weighs 1 kg
10,500 liters of water = 10,500 * 1 kg/liter
= 10,500 kg
Now, we can calculate the force of gravity on the water
Force of gravity on the water = Weight of the water
Weight = Mass * Acceleration
Mass = 10,500kg
Acceleration (due to gravity) = 9.8 m/s²
Force of gravity on the water
= Weight of the water
= Mass * Acceleration
= 10,500 kg * 9.8 m/s²
= 102,900 Newtons
Answer:
Because of the frictional force, the net force will oppose direction of the block and be directed towards the left even tho the spring exerts no force at this point
In other words a infinitesimal segment dV caries the charge
<span>dQ = ρ dV </span>
<span>Let dV be a spherical shell between between r and (r + dr): </span>
<span>dV = (4π/3)·( (r + dr)² - r³ ) </span>
<span>= (4π/3)·( r³ + 3·r²·dr + 3·r·(dr)² + /dr)³ - r³ ) </span>
<span>= (4π/3)·( 3·r²·dr + 3·r·(dr)² + /dr)³ ) </span>
<span>drop higher order terms </span>
<span>= 4·π·r²·dr </span>
<span>To get total charge integrate over the whole volume of your object, i.e. </span>
<span>from ri to ra: </span>
<span>Q = ∫ dQ = ∫ ρ dV </span>
<span>= ∫ri→ra { (b/r)·4·π·r² } dr </span>
<span>= ∫ri→ra { 4·π·b·r } dr </span>
<span>= 2·π·b·( ra² - ri² ) </span>
<span>With given parameters: </span>
<span>Q = 2·π · 3µC/m²·( (6cm)² - (4cm)² ) </span>
<span>= 2·π · 3×10⁻⁶C/m²·( (6×10⁻²m)² - (4×10⁻²m)² ) </span>
<span>= 3.77×10⁻⁸C </span>
<span>= 37.7nC</span>
Answer:
The second vector points due West with a magnitude of 600N
Explanation:
The original vector points with a magnitude of 200N due east, the Resultant vector points due west (that's how east/west direction can be interpreted, from east to west) with a magnitude of 400N. If we choose East as the positive direction and West as the negative one, we can write the following vectorial equation:
With the negative sign signifying that the vector points west.
Answer:
A
Explanation:
Wattage = E * I
E = 25
I = 5
Wattage = 25 * 5
Wattage = 125
The secondary, in an ideal transformer has the same wattage.
125 = 50 * I Divide by 50
125/50 = I
I = 2.5