Which one falls faster from 5 meters up in the air? A ball or a crumbled up piece of paper?
In general, a ball will fall faster than a crumpled up piece of paper when dropped from the same height (5 meters) in the air. This is because the ball, being denser and more compact, will experience less air resistance and will be less affected by air resistance compared to the lighter and less dense piece of paper. However, it's worth noting that the shape and size of both the ball and the crumpled paper can also affect their rate of fall.
How long does it take a ball to fall from 5 meters up in the air to the ground?
Assuming no other forces are acting on the ball and neglecting air resistance, the time it takes for an object to fall from a height can be calculated using the equation:
distance = (1/2) * acceleration * time^2
In this case, the distance is 5 meters and the acceleration due to gravity is approximately 9.8 m/s^2. Rearranging the equation, we get:
time = sqrt(2 * distance / acceleration)
Plugging in the values, we have:
time = sqrt(2 * 5 / 9.8)
= sqrt(1.02)
≈ 1.009 seconds
Therefore, it takes approximately 1.009 seconds for the ball to fall from a height of 5 meters to the ground, neglecting air resistance and assuming standard acceleration due to gravity.
How long would it take for a crumbled piece of paper to fall on the ground from 5 meters up in the air?
The time it takes for an object to fall from a height can be calculated using the same equation:
time = sqrt(2 * distance / acceleration)
Assuming no other forces are acting on the paper and neglecting air resistance, let's calculate the time. Using the same values as before (distance = 5 meters and acceleration due to gravity = 9.8 m/s^2):
time = sqrt(2 * 5 / 9.8)
= sqrt(1.02)
≈ 1.009 seconds
Therefore, it takes approximately 1.009 seconds for the crumpled piece of paper to fall from a height of 5 meters to the ground, assuming no air resistance and using standard acceleration due to gravity.
How long would it take for paper to fall on the ground from 5 meters high?
The time it takes for a piece of paper to fall from a height can vary depending on its shape, size, and air resistance. Since paper has a larger surface area and is more affected by air resistance compared to denser objects like balls, its fall time will be longer.
To estimate the time, we can use a simplified model assuming no other forces except gravity. In this case, the calculation would still be:
time = sqrt(2 * distance / acceleration),
where distance is 5 meters and acceleration due to gravity is 9.8 m/s^2. However, keep in mind that the resulting time will be an approximation since it does not account for the effects of air resistance.
Using these values:
time = sqrt(2 * 5 / 9.8)
= sqrt(1.02)
≈ 1.009 seconds,
Therefore, it would take approximately 1.009 seconds for a flat sheet of paper to fall from a height of 5 meters to the ground, neglecting significant air resistance.