Answer:
s = 45 m
Explanation:
The velocity given in the question is uniform. Hence, the formula for the uniform velocity shall be used here. The formula is given as follows:

where,
s = distance traveled away from the brother = ?
v = constant speed = 3 m/s
t = time taken = (0.25 min)(60 s/1 min) = 15 s
Therefore, using these values in the formula we get:

<u>s = 45 m</u>
Answer:
This is because when the pedal sprocket arms are in the horizontal position, it is perpendicular to the applied force, and the angle between the applied force and the pedal sprocket arms is 90⁰.
Also, when the pedal sprocket arms are in the vertical position, it is parallel to the applied force, and the angle between the applied force and the pedal sprocket arms is 0⁰.
Explanation:
τ = r×F×sinθ
where;
τ is the torque produced
r is the radius of the pedal sprocket arms
F is the applied force
θ is the angle between the applied force and the pedal sprocket arms
Maximum torque depends on the value of θ,
when the pedal sprocket arms are in the horizontal position, it is perpendicular to the applied force, and the angle between the applied force and the pedal sprocket arms is 90⁰.
τ = r×F×sin90⁰ = τ = r×F(1) = Fr (maximum value of torque)
Also, when the pedal sprocket arms are in the vertical position, it is parallel to the applied force, and the angle between the applied force and the pedal sprocket arms is 0⁰.
τ = r×F×sin0⁰ = τ = r×F(0) = 0 (torque is zero).
Answer:
The final pressure of the whole system is 34.80 atm.
Explanation:
Given that,
Volume = 45.0 ml
Volume of first bulb = 77.0 mL
Pressure = 8.89 atm
Volume of second bulb = 250 mL
Pressure = 2.82 atm
Volume of third bulb = 21.0 mL
Pressure = 8.42 atm
We need to calculate the final pressure of the whole system
Using formula of pressure

Where,
= pressure of first bulb
= pressure of second bulb
= pressure of third bulb
= initial pressure of tube
= Volume of first bulb
=Volume of second bulb
= Volume of third bulb
= Initial volume of tube
Put the value into the formula



Hence, The final pressure of the whole system is 34.80 atm.
This question involves the concepts of dynamic pressure, volume flow rate, and flow speed.
It will take "5.1 hours" to fill the pool.
First, we will use the formula for the dynamic pressure to find out the flow speed of water:

where,
v = flow speed = ?
P = Dynamic Pressure = 55 psi
= 379212 Pa
= density of water = 1000 kg/m³
Therefore,

v = 27.54 m/s
Now, we will use the formula for volume flow rate of water coming from the hose to find out the time taken by the pool to be filled:

where,
t = time to fill the pool = ?
A = Area of the mouth of hose =
= 1.98 x 10⁻⁴ m²
V = Volume of the pool = (Area of pool)(depth of pool) = A(1.524 m)
V =
= 100.1 m³
Therefore,

<u>t = 18353.5 s = 305.9 min = 5.1 hours</u>
Learn more about dynamic pressure here:
brainly.com/question/13155610?referrer=searchResults