PHYSICS
JAMB 2003 - Question 5
Physics 2003 JAMB Past Questions - Question 5: A hose of cross-sectional area 0.5m² is used to discharge water from a water tanker at a velocity of 60ms-¹ in 20s into a container. If the container is filled completely, the volume of the container is
Choose the correct answers from the options given.
A:
B:
C:
D:
Correct Answer
B
Explanation
To find the volume of the container that is filled, we can use the equation for flow rate:
Flow Rate (Q) = Area (A) × Velocity (V)
Where:
Q = Flow Rate (volume per unit time, in this case, volume per second)
A = Cross-sectional area of the hose
V = Velocity of the water
Given:
- Cross-sectional area (A) of the hose = 0.5 m²
- Velocity (V) of the water = 60 m/s
- Time (t) = 20 seconds
First, calculate the flow rate:
Q = A × V
Q = 0.5 m² × 60 m/s
Q = 30 m³/s
Now, to find the volume of the container, we need to multiply the flow rate (Q) by the time (t):
Volume = Flow Rate × Time
Volume = 30 m³/s × 20 s
Volume = 600 m³
So, the volume of the container that is completely filled is 600 cubic meters.
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