If an automobile engine delivers a power of 50.0 hp, how much time will it take for the engine to do 6.40 x 10^4 j of work? (1 hp = 746 W)

Given data

Power (P) = 50 hp,

= 50 * 746, we know that 1 hp = 746 W.

= 37300 Watts (Watt = J/s)

Work = 6.40 * 10⁴ J

Power is defined as rate of doing work and the unit of power is Watt.

Mathematically,

Power = (Work / time) Watts

= 6.40 * 10⁴ / time

37300 W = 6.40 * 10⁴ J / time (Where time in seconds)

=> time = Work/Power

= 6.40 * 10⁴/37300

= 1.74 seconds

Therefore, the engine need 1.74 seconds to do 6.40 6.40 * 10⁴ J of work