Hi there!
p(a∩b) = 0.
Since a and b are mutually exclusive events, there is no overlap or intersection of events.
These two events CANNOT both occur, so the intersection of p(a) and p(b) does not exist.
Thus, p(a∩b) = 0.
Answer:
The load that can be lifted is equal to the weight W = F2A1/A2
Explanation:
According to Pascal principle which states that the pressure applied to a liquid confined in a container will be transmitted equally to all other parts of the container.
Since pressure = Force/Area
The force F2 applied at one end of the piston will generate a pressure of F2/A2. This pressure generated will be transmitted to the other end of the piston of area A1 to lift the load through a distance.
The piston where the load is will experience an upward force F1 which is equal to Pressure × Area.
The pressure experienced by the load is applied by force F2.
Force on the load = (Pressure exerted by Force F2) × Area at the larger end A1
Force on the load = F2/A2 × A1
Since the load experiences a weight W
The weight will be equal to the force on the load which is to be lifted i.e W =Force on the load.
W = F2A1/A2
The load that can be lifted is equal to the weight W = F2A1/A2
Answer:
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Explanation:
F = m * a
F: force = 3N
m: mass = 1500g = 1.5kg
a: acceleration = __ m s⁻²
3 = (1.5) * a
3 / 1.5 = 1.5a / 1.5
a = 3/1.5
a = 2 m s⁻²
Hope this helps! :)
Answer:
Explanation:
mass of each ball, m = 1 kg
Let the charge on each ball is q.
If the balls remains fix then the gravitational force is balanced by the electrostatic force between them and as the gravitational force is attractive in nature then the electrostatic force should be repulsive in nature.
The charges should be of same sign to get the electrostatic force is repulsive in nature.
Let the distance between the two balls is d.
The electrostatic force between them is given by
... (1)
The gravitational force between the two balls is given by
... (2)
according to the question, gravitational force is equal to the electrostatic force, so by equation (1) and (2) ,we get
Thus, the charge on each ball is