Correct Answer: Option A
Explanation
To calculate the power developed in the engine, we need to determine the work done and the time taken.
1. Calculate the final kinetic energy (KE) of the car:
KE=12mv2
where m=800 kg and v=25 m/s.
 
KE=12×800kg×(25m/s)2
 
KE=0.5×800×625=250000 J(joules)
2. Calculate the power (P)  developed in the engine using the formula:
P=Wt
where W is the work done (in this case, equal to the kinetic energy calculated) and t is the time taken.
 
P=250000J20s=12500 W(watts)
Thus, the power developed in the engine is 12500 watts (or 12.5 kW).
                         
                        
                            Correct Answer: Option A
Explanation
To calculate the power developed in the engine, we need to determine the work done and the time taken.
1. Calculate the final kinetic energy (KE) of the car:
KE=12mv2
where m=800 kg and v=25 m/s.
 
KE=12×800kg×(25m/s)2
 
KE=0.5×800×625=250000 J(joules)
2. Calculate the power (P)  developed in the engine using the formula:
P=Wt
where W is the work done (in this case, equal to the kinetic energy calculated) and t is the time taken.
 
P=250000J20s=12500 W(watts)
Thus, the power developed in the engine is 12500 watts (or 12.5 kW).