Georgie was pulling her brother (of mass
26 kg) in a 11.9 kg sled with a constant force of 37 N for one block (100 m). How much work did Georgie do? How long would a 300 W lightbulb have to glow to produce the same amount of energy
expended by Georgie?
Work = Fd = 37 * 100 = 3700 Joules.
300 W. = 300 Joules/s.
3700/t = 300,
Solve for t.
To calculate the work done by Georgie, we can use the formula:
Work = Force x Distance
Given that the force applied by Georgie is 37 N and the distance is 100 m, we can substitute these values into the formula:
Work = 37 N x 100 m = 3700 N·m
Therefore, Georgie did 3700 joules (J) of work.
To determine the amount of time a 300 W lightbulb would have to glow to produce the same amount of energy expended by Georgie, we need to convert the work done by Georgie to energy and then calculate the time.
Energy = Work
Given that 3700 J of energy was expended by Georgie, we can substitute this value into the equation:
Energy = 3700 J
Now, considering the power of the lightbulb is given as 300 W, we can use the formula:
Power = Energy / Time
Rearranging the formula, we have:
Time = Energy / Power
Substituting the values into the equation, we get:
Time = 3700 J / 300 W
To calculate using the formula, we need to convert the power from watts to joules per second (J/s) by using the fact that 1 watt is equal to 1 joule per second:
Time = 3700 J / (300 J/s) = 12.33 seconds
Therefore, a 300 W lightbulb would need to glow for approximately 12.33 seconds to produce the same amount of energy expended by Georgie.
To determine the work done by Georgie, we'll use the formula:
Work = Force * Distance
Since the force is constant and the distance is given, we can plug in the values:
Work = 37 N * 100 m
Now, we can calculate the work:
Work = 3700 N⋅m = 3700 J (Joules)
So, Georgie did 3700 Joules of work.
To find out how long a 300 W lightbulb would need to glow to produce the same amount of energy expended by Georgie, we need to convert the work (in Joules) to energy (in Watt-hours). We know that power (P) is equal to energy (E) divided by time (t), so we can rearrange the formula to solve for time:
t = E / P
In this case, energy E is 3700 Joules and power P is 300 Watts, so we plug in the values:
t = 3700 J / 300 W
To proceed further, we need to convert Watts to Joules per second since the time unit in the formula is seconds. 1 Watt is equal to 1 Joule per second, so:
t = 3700 J / (300 J/s)
Now, we can simplify and calculate the time:
t = 3700 J / (300 J/s)
t ≈ 12.33 s
Therefore, a 300 W lightbulb would need to glow for approximately 12.33 seconds to produce the same amount of energy expended by Georgie.