Question

Assuming 95.0% efficiency for the conversion of electrical power by the motor, what current must the 12,0+v batteries of a 663 -kg electric car be able to supply to do the follewing? (a) accelenate from rest to 25.0 m/s in 1.00 min A (b) climb a 200 m high hill in 2,00 min at a constant 25.0 m/s speed while exerting 443 N of force to overcome air resistance and fricton A.

Answer 1

To calculate the current the batteries must be able to supply for different scenarios, we can use the formulas: Current (I) = Power (P) / Voltage (V). For part (a), accelerating the car from rest to 25.0 m/s in 1.00 min, we use the formula: P = (1/2)mv² / t. Similarly, for part (b), climbing the hill in 2.00 min while exerting a force of 443 N, we use the formula: P = Fd / t.

Step-by-step explanation:

To calculate the current the batteries must be able to supply, we can use the formula:

Current (I) = Power (P) / Voltage (V)

For part (a), to accelerate the car from rest to 25.0 m/s in 1.00 min, we can use the formula:

P = (1/2)mv² / t

where m is the mass, v is the final velocity, and t is the time.

Similarly, for part (b), to climb the hill in 2.00 min while exerting a force of 443 N, we can use the formula:

P = Fd / t

where F is the force, d is the distance, and t is the time.

By substituting the power values into the first formula, we can calculate the current required for each scenario.