A total of 10000kg of water per second flows over a waterfall 30m high.If half of the power this flow represents could be converted into electricity, how many 100-W lightbulbs could be suplied?
789
To determine the number of light bulbs that can be supplied, we need to calculate the amount of power generated by the flowing water and then divide it by the power consumption of a 100-Watt light bulb.
To calculate the power generated by the flowing water, we use the formula: power = mass flow rate * gravitational acceleration * height.
Given:
- Mass flow rate = 10000 kg/s (flow rate of water over the waterfall)
- Gravitational acceleration = 9.8 m/s^2
- Height = 30 m (height of the waterfall)
We can plug these values into the formula to find the power generated:
power = 10000 kg/s * 9.8 m/s^2 * 30 m
power = 29400000 Watt
Now, we need to find how many 100-Watt light bulbs can be supplied. We can do this by dividing the total power generated by the power consumption of a single light bulb:
number of light bulbs = power generated / power consumption of a single light bulb
number of light bulbs = 29400000 Watt / 100 Watt
number of light bulbs = 294000
Therefore, the flowing water could supply approximately 294,000 100-Watt light bulbs.