What is the equation for calculating acceleration due to gravity on an asteroid?

AI Thread Summary
To calculate the acceleration due to gravity on an asteroid, the equation x = 1/2 gt² is applicable, where x is the distance fallen, g is the acceleration, and t is the time taken. In the given scenario, a small object falls 1.00m in 4.20s. The average velocity should not be used to calculate acceleration directly, as it does not account for the change in velocity. By rearranging the equation, the correct acceleration can be derived. Thus, understanding the principles of uniformly accelerated motion is essential for accurate calculations.
hovno1
Messages
2
Reaction score
0
1. On an asteroid a small object falls, from rest, 1.00m in 4.20s. What is the acceleration due to gravity on the surface of the asteroid?



2.



3. I am getting an answer of 5.67 * 10^-2, by dividing the velocity (distance/time) by the time. Is this the correct?

I will really appreciate any feedback!
 
Physics news on Phys.org
Acceleration is change in velocity divided by time taken.
Dividing that distance by the time taken would calculate the average velocity of the falling object, not the change in its velocity.
Do you know any equations for uniformly accelerated motion?
 
think I've done it now using the equation (Vf-Vi)/t=g. Is this the correct equation to use?
 
not quite, as you don't know the final velocity (though you can work it out), howevere, you do know the distance it travelled, usually called 's' or 'x'
 
The equation to use here is:
<br /> x=\frac{1}{2}gt^{2}<br />
As the initial speed was zero.
 
Thread 'Variable mass system : water sprayed into a moving container'
Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...

Similar threads

Back
Top