Answer:
The longest straw will be 10.328 meters long.
Explanation:
The water will rise up to a height pressure due to which will balance the atmospheric pressure.
We know
Pressure due to water column of height 'h'
Equating both the values we get the value of height 'h' as
Answer:
Explanation:
Cart A is moving to the right with constant speed i.e. net acceleration is zero
because acceleration is change in velocity in given time
Cart B is moving towards right with gradually speed up so there is net acceleration which helps to increase the velocity s
This indicates the net force acting on the cart towards right
For cart C there is gradual slow down of cart which indicates cart is decelerating and a net force is acting towards which opposes its motion.
Answer:
Hey
Explanation:
Answer:
300 clicks...
Explanation:
Output on 3 clicks = 10 dB
Increasing 10 by a factor of 100 equals 1000 dB so,
Its simple math, clicks will also increase in the same ratio and it shall take 300 clicks to increase the volume by a factor of 100.
The total electric force exerted by point charges -3.5 μC and 3.5 μC on a point charge 4.0 μC is zero. This is because the forces due to each of these charges on the third charge are equal in magnitude but opposite in direction, hence they cancel each other completely.
The question asks for the magnitude and direction of the total electric force exerted by point charges -3.5 μC and 3.5 μC on a point charge 4.0 μC. This is related to Coulomb's Law, which describes the force between charged objects. Specifically, Coulomb's Law states that the force (F) between two point charges is directly proportional to the product of their charges (q1*q2) and inversely proportional to the square of the distance (r) between them. It also depends on the permittivity of free space (ε₀).
First, you would determine the force between each of the point charges and the third charge separately, and then superpose these forces to find the total force. The force in each case can be calculated using the equation F = k*|q1*q2|/r², where k is Coulomb's constant (8.99 * 10^9 N.m²/C²). You would need to make sure you take into account the signs of the charges when deciding the directions of the forces and when superposing the separate forces.
Assume upwards to be the positive direction. The 3.5 uC charge forces and -3.5 uC charge forces on the 4 uC charge would be opposite in direction (one downwards and one upwards) and identical in magnitude. Therefore, they will cancel each other out, and hence, the total electric force on the third charge (4 uC) will be zero.
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Answer:
7.84
Explanation:
Draw free body diagram and put all forces on it. Forces are
As the bike+man system has attained a terminal velocity thus acceleration is zero .
Both forces are opposite then equate them
117.6=k.15
k=7.84
Here k is drag coefficient.
Answer:
0·95
Explanation:
Given the combined mass of the rider and the bike = 100 kg
Percent slope = 12%
∴ Slope = 0·12
Terminal speed = 15 m/s
Frontal area = 0·9 m²
Let the slope angle be β
tanβ = 0·12
As it attains the terminal speed, the forces acting on the combined rider and the bike must be balanced and therefore the rider must be moving download as the directions of one of the component of weight and drag force will be in opposite directions
The other component of weight will get balance by the normal reaction and you can see the figure which is in the file attached
From the diagram m × g × sinβ = drag force
Drag force = 0·5 × d × × v² × A
where d is the density of the fluid through which it flows
is the drag coefficient
v is the speed of the object relative to the fluid
A is the cross sectional area
As tanβ = 0·12
∴ sinβ = 0·119
Let the fluid in this case be air and density of air d = 1·21 kg/m³
m × g × sinβ = 0·5 × d × × v² × A
100 × 9·8 ×0·119 = 0·5 × 1·21 × × 15² × 0·9
∴ ≈ 0·95
∴ Drag coefficient is approximately 0·95
Answer:
Explanation:
Given:
Potential difference across the membrane (ΔV) = 0.078 V
Thickness of the membrane (Δx) = 7.1 × 10⁻⁹ m
Magnitude of electric field (|E|) = ?
We know that, the electric field due to a potential difference (ΔV) across a distance of Δx is given as:
So, the magnitude of the electric field is calculated by ignoring the negative sign and thus is given as:
Plug in the given values and solve for '|E|'. This gives,
Therefore, the magnitude of the electric field in the membrane is .