The circuit shown has a battery and two resistors, with R1>R2. Which of the two resistors dissipates the larger amount of power? Explain
Rank in order, from largest to smallest, the three currents I1 TO I3. And explain why?
The two batteries are identical and the four resistors all ahve exactly the same resistance.
a) Compare change in V(ab), V(cd), and V(ef). Are they all the same? In not, rank them in decreasing order. Explain you reasoning
b) Rank in order, from largest to smallest, the five currents I1 to I5, and ezplain why
Answer:
The acceleration of a boat if the resultant force on it is 4000 N and its mass is 1240 kg is 3.2 m/s².
Explanation:
Given
To determine
Acceleration a = ?
Important Tip:
- The acceleration of a boat can be found using the formula F = ma
Using the formula

where
- a is the acceleration (m/s²)
now substituting F = 4000, m = 1240 in the formula


Switch sides

Divide both sides by 1240

Simplify

m/s²
Therefore, the acceleration of a boat if the resultant force on it is 4000 N and its mass is 1240 kg is 3.2 m/s².
Answer:
a. 37.75°
b. 6.21 m
Explanation:
a. The horizontal force acting on a pendulum bob is given as:
F = mgsinθ
where m = mass of bob
g = acceleration due to gravity
θ = angle string makes with the vertical or angle of displacement
Making θ subject of formula, we have:
θ = 
θ = 
θ = 37.75°
The maximum angle of displacement is 37.75°
b. Period of a pendulum is given as:

where L = length of string
Therefore, making L subject of formula:


The string holding the pendulum has to be 6.21 m long.
Answer:
The tension in the rope is 49.66 N.
Explanation:
Given that,
Mass of bucket m= 23.0 kg
Diameter = 0.300 m
Mass of rope M= 13.0 kg
Height = 10.5 m
Suppose we need to find the tension in the rope while the bucket is falling.
We need to calculate the acceleration
Using balance equation
..(I)
We need to calculate the tension in the rope
Using formula of tension


....(II)
Put the value of T in the equation (I)


Put the value into the formula


Now, put the value of a in equation (II)


Hence, The tension in the rope is 49.66 N.