A portable television using a 12 volt, 3 Ah rechargeable battery can operate for a period of about 6 hours. What is the average
1 answer:
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The complete question is;
Block 1 sits on the floor with block 2 resting atop it. Block 3, which is stationary on a frictionless table, is attached to block 2 via a string that passes over a pulley depicted in the illustration below. Both the string and pulley have negligible mass.
Once block 1 is taken away without impacting block 2.
Derive an equation for the acceleration of block 3 considering arbitrary values for m3 and m2. Express your answer in terms of m3, m2, and relevant physical constants as needed.
Answer:
a = (m2)g/(m3 + m2)
Explanation:
Examining the attached illustration, by analyzing the free body diagram for block 3 and utilizing Newton's first law of motion, we reach the following formula;
T = (m3)a - - - (eq 1)
where;
T is the tension in the string
a is acceleration
m3 is the mass of block 3
Simultaneously, doing the same for Block 2, the free body diagram yields the equation; (m2)g - T = (m2)a
Rearranging for T results in;
T = (m2)g - (m2)a - - - (eq 2)
where;
g represents acceleration due to gravity
T is the tension in the string
a is acceleration
m2 is the mass of block 2
To deduce the acceleration, we will substitute (m3)a in place of T in eq 2.
Thus;
(m3)a = (m2)g - (m2)a
(m3)a + (m2)a = (m2)g
a(m3 + m2) = (m2)g
a = (m2)g/(m3 + m2)
Answer
Given data:
height of the dam = 15 m
effective area for water flow = 2.3 x 10⁻³ m²
Applying the principle of energy conservation:
v = 17.15 m/s
water discharge
Q = A V
Q = 2.3 x 10⁻³ x 17.15
Q = 0.039 m³/s
Answer:
a) Q = C*emf
b) Decrease in electric field strength and electric potential
c) Initial current through the resistor = emf/R
d) The final charge = K*C*emf
Explanation:
a) The resistors and capacitors are linked in series with the battery
According to Kirchoff's voltage law, the total voltage in the circuit must equal zero
Let represent the Voltage across the Resistor
and
Integrating and
into equation (1)
Initially, as the capacitor reaches full charge, the current will drop to zero because of equilibrium
b) When the plastic sheet is inserted between the plates, current begins to flow because both the electric field intensity and electric potential decrease. As a result, charge diminishes, leading to current flow
c) The current through the resistor equates to the total current within the circuit (given the series connection)
Substituting the values of t and I₀ into the aforementioned formula for I
d) Note: The initial charge on the capacitor equals C * emf
Following the insertion of the plastic, the new charge will be: