What is Acceleration due to gravity: Definition and 16 Discussions
The standard acceleration due to gravity (or standard acceleration of free fall), sometimes abbreviated as standard gravity, usually denoted by ɡ0 or ɡn, is the nominal gravitational acceleration of an object in a vacuum near the surface of the Earth. It is defined by standard as 9.80665 m/s2 (about 32.17405 ft/s2). This value was established by the 3rd CGPM (1901, CR 70) and used to define the standard weight of an object as the product of its mass and this nominal acceleration. The acceleration of a body near the surface of the Earth is due to the combined effects of gravity and centrifugal acceleration from the rotation of the Earth (but the latter is small enough to be negligible for most purposes); the total (the apparent gravity) is about 0.5% greater at the poles than at the Equator.Although the symbol ɡ is sometimes used for standard gravity, ɡ (without a suffix) can also mean the local acceleration due to local gravity and centrifugal acceleration, which varies depending on one's position on Earth (see Earth's gravity). The symbol ɡ should not be confused with G, the gravitational constant, or g, the symbol for gram. The ɡ is also used as a unit for any form of acceleration, with the value defined as above; see g-force.
The value of ɡ0 defined above is a nominal midrange value on Earth, originally based on the acceleration of a body in free fall at sea level at a geodetic latitude of 45°. Although the actual acceleration of free fall on Earth varies according to location, the above standard figure is always used for metrological purposes. In particular, it gives the conversion factor between newton and kilogram-force, two units of force.
The given answer is g/4. But when I substituted R/4 into the radius, I get 16GM. Am I just using the wrong equation altogether? He also said that you also got g/4 if the distance was 2R.
Attempt : 1. Pressure at height ##z## : ##P(z) = P_{\text{atm}}-\rho_0 gz ##, ignoring density variation. But actually, we have ##\rho(z)<\rho_0\;\forall z>0##. Hence, we are subtracting a bigger value from ##P_{\text{atm}}## than we actually should, meaning that we would end up what a smaller...
I suppose the trick in this question is to realize that the drag acts in opposite directions when the ball ascends and descends and that the ball actually takes less time to rise and more time to fall than normally. I make a small sketch of the problem alongside.
Attempt : The total time of...
Take some sort of system accelerating with respect to an inertial reference frame: let's take a spherical mass on the end of a string forming a simple pendulum with the ceiling of a car, and allow that car to accelerate uniformly.
Could someone share with me how they interpret the concept of a...
Consider a planet with a mass 5x that of the Earth a distance of 3AU away from a star with a mass 1.5x that of the sun.
-What is the acceleration of the planet due to gravity from the planet on the star?
-How does this answer compare with the acceleration we feel on the surface of the Earth...
Let's say an object is falling towards Earth from a long distance away. As it gets closer and closer, the acceleration would increase, inversely proportional to the distance squared.
Is there any way I can graph this on an acceleration/time graph, or a distance/time graph?
The challenge is...
in science shows , an airplane made to fall freely under gravity has its passenger floating in mid air
i understand weightlessness is due to 0 normal reaction by floor on person
but since both passenger and plane have same aceleration due to gravity
what might be reason for relative separation...
Homework Statement
A ball of mass of 1Kg is held in hand. The moment it is released from hand, without any delay it is hit by an external force of 100N in upwards direction. How high will the body go ?
Homework EquationsThe Attempt at a Solution
I know how to solve if instead of Force we...
Homework Statement
A simple pendulum and a mass-spring system have the same oscillation frequency f at the surface of the Earth. The pendulum and the mass-spring system are taken down a mine where the acceleration due to gravity is less than at the surface. What is the change in the frequency...
Homework Statement
A person stands on a scale in a elevator at rest. The scale reads 900N.
1) what is the persons mass
2) the elevator accelerates up at 2.5m/s^2. What does the scale read now ?
3)The elevator then continues to move upwards with a steady speed of 4m/s for 5 seconds. What does...
this is an exam question and i am not sure about my answer:
a man with a mass of 60 kg is a parachutist :
calculate the acceleration if the air resistance is 1200N
this is how i solved it:
we must take the wieght into consideration so his wieght is : w=mG G=approximatly 10ms^-2...
completing my advanced higher physics investigation - measuring acceleration due to gravity
for the oscillating mass on a spring experiment
so far I have included friction between the nail & oscillating rod as a possible source of error
can anyone think of anything else?
thank you very much...
Homework Statement
We performed a lab to find an experimental value of gravity. I used a ramp with a height of 0.08 m, and the ramp was 1 m long. The ramp made an angel of approximately 4.59 degrees with the horizontal. We used software to calculate velocity with respect to time and position...
The maximum "hang time" for a human who jumps in the air under his own power is said to be less than 1 second. This includes jumping on the spot, running jumps, hops, leaps, dives, and bounds. Javier Sotomayor (Cuba) is the current men's record holder with a jump of 2.45 m (8 ft 1⁄4 in) set in...
If I have a ramp that is 1.143 meters long, and I need to make it incline at a certain angle and height to make sure the acceleration is .5 m/s^2, how would I go about doing that without taking friction into account and without weighing anything?
Homework Statement
MJ falls from rest from a tall building. 1.5 seconds later SP throws himself downward with an initial velocity of -45 meters per second. Find the distance where they meet.
variables:
α1= -9.81 α2=-9.81
Δγ1 = ? Δγ2=?
Δ†1=? Δ†2=? + 1.5
∨i1=0...