Experiment shows that the frictional drag force F of a car moving in the air depends on the velocity v of its motion, density ρ of the air through…

Question

Experiment shows that the frictional drag force F of a car moving in the air depends on the velocity v of its motion, density ρ of the air through which it travels, and the cross-sectional area of the car. If the force F = kρˣvʸAᶻ, where x, y and z are integer and k is a dimensionless constant, find the values of x, y, and z.

Answer 1

Experiment shows that the frictional drag force F of a car moving in the air depends on the velocity v of its motion, density ρ of the air through which it travels, and the cross-sectional area of the car. If the force F = kρˣvʸAᶻ, where x, y and z are integer and k is a dimensionless constant, find the values of x, y, and z.

1, 1, 1 ✓
1/2, 1/2, 1/2
1, -1, 1
1, 0, 1

Explanation

Natural disasters: floods (Nigeria experiences annually), drought (especially north), erosion (southeast), earthquakes (rare in Nigeria), landslides, tsunamis. Hazards become disasters when they affect human populations.

Management: early warning systems, land-use planning (avoid hazard zones), emergency response preparedness, building codes, insurance, and environmental management (prevent deforestation, maintain drainage).

Climate change intensifies some hazards – more extreme rainfall, longer droughts. Vulnerable communities (poor, coastal, farming) suffer most. Disaster preparedness saves lives and reduces economic losses.