Question

To maintain a constant speed, the force provided by a car’s engine must equal the drag force plus the force of friction of the road (the rolling resistance). (a) What are the magnitudes of drag forces at 70 km/h and 100 km/h for a Toyota Camry? (Drag area is 0.70 , {m}²) (b) What is the magnitude of drag force at 70 km/h and 100 km/h for a Hummer H2? (Drag area is 2.44 , {m}²) Assume all values are accurate to three significant digits.

A. (a) 330 , {N}, 720 , {N}; (b) 1170 , {N}, 1980 , {N}
B. (a) 720 , {N}, 330 , {N}; (b) 1980 , {N}, 1170 , {N}
C. (a) 330 , {N}, 1170 , {N}; (b) 720 , {N}, 1980 , {N}
D. (a) 1170 , {N}, 1980 , {N}; (b) 330 , {N}, 720 , {N}

Answer 1

The drag forces at different speeds for a Toyota Camry and Hummer H2 can be calculated using the drag force equation.

Step-by-step explanation:

The drag force experienced by a car can be calculated using the equation:

Drag Force = 0.5 * Drag Coefficient * Air Density * Velocity^2 * Frontal Area

For a Toyota Camry with a drag area of 0.70 m²:

At 70 km/h (19.44 m/s), the drag force is approximately 330 N.

At 100 km/h (27.78 m/s), the drag force is approximately 720 N.

For a Hummer H2 with a drag area of 2.44 m²:

At 70 km/h (19.44 m/s), the drag force is approximately 1170 N.

At 100 km/h (27.78 m/s), the drag force is approximately 1980 N.