Final answer:
The mechanic's power output is calculated using the formula P = W/t. By dividing the work done, 5350 J, by the time taken, 50 s, the power output is found to be 107 watts.
Step-by-step explanation:
The question asks for the mechanic's power output when lifting a car using a jack. Power is defined as the rate of doing work or energy transfer with respect to time. The formula to calculate power is P = W/t, where P is power in watts (W), W is work done in joules (J), and t is time in seconds (s).
In this case, the mechanic does 5350 J of work to lift the car 0.5 m in 50 s. Thus, the power output is:
P = W/t
P = 5350 J / 50 s
P = 107 W
So, the mechanic's power output is 107 watts.