Question

1. a feather and a brick are both dropped from a height of 10 meters. how fast do these objects accelerate towards the earth? explain how you know.

stamp: what does it mean for an object to be accelerating?
an object is accelerating when its velocity is changing. this means that the object is not in equilibrium because it is experiencing unbalanced forces (velocity is not constant).
velocity lab experiment
work with your group to follow the experiment procedure. collect and organize all data for your lab. at the end of this time we will use your data to calculate impact velocity for both heights.
effect of height on object freefall time
height (meters) trial freefall time (seconds)
1.0 meters 1
2
3
4
5
average (sum)/(number of values)
2.0 meters 1
2
3
4
5

Explanation:

In the absence of air resistance (which is an idealized scenario often considered in basic physics problems), all objects near the surface of the Earth accelerate towards the Earth at the same rate. This acceleration is known as the acceleration due to gravity, denoted as \(g\). On Earth, the value of \(g\) is approximately \(9.8\ m/s^{2}\). The feather and the brick, when dropped (assuming no air resistance), will both accelerate at this rate. This is based on Galileo's principle of equivalence (later formalized in Einstein's theory of general relativity) and Newton's second law \(F = ma\) combined with the law of universal gravitation \(F=\frac{GMm}{r^{2}}\). When equating these two force expressions (\(\frac{GMm}{r^{2}}=ma\)), the mass \(m\) of the object cancels out (\(a = \frac{GM}{r^{2}}\)), showing that the acceleration \(a\) (which is \(g\) near Earth's surface) is independent of the object's mass.

Answer:

Both the feather and the brick accelerate towards the Earth at approximately \(9.8\ m/s^{2}\). This is because, in the absence of air - resistance (a key assumption here), the acceleration due to gravity \(g\) near Earth's surface is approximately \(9.8\ m/s^{2}\) for all objects, as shown by the cancellation of the object's mass in the derivation from Newton's laws and the law of universal gravitation.