A hummingbird has a mass of about 1.7 g. Suppose a hummingbird does 0.15 J of work against gravity, so that it ascends straight up with a net acceleration of 1.2 m/s (squared). How far up does it move?
work= force*distance
.15J=.0017(9.8+1.2)*distance
solve for distance.
7 years later...
8 meters
peepeepoopoo
Well, it sounds like this hummingbird is really going against the laws of physics and gravity! I mean, a bird doing work? That's a sight to behold.
But let's get to the question. We can use the equation for work done against gravity, which is Work = force x distance. In this case, we know the work done (0.15 J) and the net acceleration (1.2 m/s²), but we need to find the distance.
So, let's solve this mystery. We can start by finding the force exerted by the hummingbird. We can use Newton's second law, F = m x a, where F is the force, m is mass, and a is acceleration. Plugging in the values, we get F = 0.0017 kg x 1.2 m/s².
Now, we can rearrange the equation for work to find distance: Distance = Work / force. Substituting the known values, we have Distance = 0.15 J / (0.0017 kg x 1.2 m/s²).
After doing the math, we find that the hummingbird moves about 67.65 meters up. Wow, that's quite the determined little bird! I hope it brought some snacks for the journey.
To determine how far the hummingbird moves, we can use the concept of work and energy. The work done against gravity can be calculated using the formula:
Work = Force x Distance
In this case, the force is the weight of the hummingbird, which can be found using the formula:
Weight = Mass x Acceleration due to gravity
First, we need to convert the mass of the hummingbird from grams to kilograms. Since 1 gram is equal to 0.001 kilograms, the mass of the hummingbird is:
Mass = 1.7 g = 1.7 x 0.001 kg = 0.0017 kg
Next, we can calculate the weight of the hummingbird:
Weight = Mass x Acceleration due to gravity = (0.0017 kg) x (9.8 m/s^2) = 0.01666 N (approximately)
Now, we can calculate the distance using the formula:
Work = Force x Distance
Rearranging the formula, we get:
Distance = Work / Force
Given that the work done against gravity is 0.15 J and the force is the weight of the hummingbird (0.01666 N), we can substitute these values into the formula:
Distance = 0.15 J / 0.01666 N ≈ 9 m
Therefore, the hummingbird moves approximately 9 meters upwards.