In 1915, Albert Einstein figured out the answer when he published his theory of general relativity. The reason gravity pulls you toward the ground is that all objects with mass, like our Earth, actually bend and curve the fabric of the universe, called spacetime. That curvature is what you ...
Acceleration. Angular acceleration, written α (The Greek letter alpha), is often zero in basic rotational motion problems because ω is usually held constant. But because **vt, as noted above, is always changing, there exists a centripetal acceleration ac**...
A projectile is accelerating at a constant rate and increases its velocity from 10 m/s to 100 m/s. It does this in 100 meters. How long does this take? After moving some distance, no more air was released from the balloon at G. Explain why the toy rocket wa...
This then leads to the famous 120 orders of magnitude excess in the vacuum energy when compared to the density required by dark energy observations (cosmological constant problem [7]). Along the same line of arguments is the statement that photons which are "matter neutral" (meaning ...
Where c is a constant reflecting the deceleration due to drag for a given airspeed,gis gravitational acceleration (scalar), andvtis the insect’s terminal velocity (scalar). Within our simulations of the three behavioural motifs, we used a constant of 0.80 s−1with a terminal velocity of...
36 The Moon is in circular orbit around Earth at constant speed.(a)Explain why we describe the Moon as accelerating towards the Earth.[2](b)(i)Starting from the equation for circular motion show that the acceleration of the Moon bowards the Eath is nby=(4x^2R)/(T^2) 2where the ...
Next, we look at Newton's law of gravity, where ##G## is the gravitational constant and ##M## the mass of the sun, ##m## the mass of the Earth, and ##\vec{r}## the coordinate direction of the force. $$ F=-\dfrac{G\cdot M\cdot m}{r^2} \cdot \vec{...
A ball is dropped from a height of 50 meters. Find the impact velocity and the time it takes to hit the ground. How does the mass of a falling object affect its acceleration, when the cross sectional area and drop height of the object ...
Now, because this acceleration is constant, we can use the kinematic equations = ut + (½)at²to calculate the distance ‘y’. Here, ‘u’ is the initial velocity, which in this case isvsinΦand ‘a’ is the constant acceleration, which in this case is ‘-g’, due to our selec...
Why is velocity important to man? Why must you bend forward while carrying a heavy load on your back? Why is the momentum constant, if a mango drops from a tree, without rebound? Why does a cannon recoil when it fires a cannonball?