A diver has a mass of 75 kg takes part in a competition by having to perform 10 dives off the 10m platform above the water. Before he takes part he snacks on an energy bar (150 g) which provides 15 kj of energy. How many would the diver need to consume to meet the necessary energy to perform all 10 of his dives?
Huh? Do you mean climbing 10 m ten times? As any swimmer knows, the effect of resistance of water is considerable, and it takes energy to swim, as it takes energy to heat his body in the water.
work= 75*g*10*10=you do it.
Number of energy bars= workabove/15,000
To find out how many energy bars the diver needs to consume to meet the necessary energy to perform all 10 dives, we need to calculate the total energy required for all 10 dives and then divide it by the energy provided by one energy bar.
First, let's find the energy required for each dive. We know that the diver's mass is 75 kg, and he'll perform 10 dives off the 10m platform. The energy required to raise the mass against gravity to the diving height can be calculated using the formula:
Potential Energy = mass × gravitational acceleration × height
In this case, gravitational acceleration is approximately 9.8 m/s², and the height is 10 m. So the potential energy for each dive is:
Potential Energy = 75 kg × 9.8 m/s² × 10 m
= 7350 J
Since the energy bar provides 15 kJ (kilojoules) of energy, we need to convert the potential energy to kilojoules to compare the values. There are 1000 joules in 1 kilojoule, so:
Potential Energy (kJ) = 7350 J ÷ 1000
= 7.35 kJ
Now, we can calculate the total energy required for all 10 dives:
Total Energy = Potential Energy (kJ) per dive × Number of dives
= 7.35 kJ × 10
= 73.5 kJ
Finally, we can determine the number of energy bars needed. We divide the total energy required by the energy provided by one energy bar:
Number of energy bars = Total Energy ÷ Energy per bar
= 73.5 kJ ÷ 15 kJ
≈ 4.9
Since we can't consume a fraction of an energy bar, the diver would need to consume at least 5 energy bars to meet the necessary energy to perform all 10 dives.