Change in the acceleration of Gravity given resistance

AI Thread Summary
To calculate the time it takes for a 50kg block to fall 10m in a substance providing 300 N of resistance, one must consider the net force acting on the block. The gravitational force is 490.5 N (50kg x 9.81m/s^2), and subtracting the resistance results in a net force of 190.5 N. Using Newton's second law, the acceleration can be calculated as 3.81 m/s^2 (net force divided by mass). Finally, applying kinematic equations allows for the determination of the time taken to fall 10m under this acceleration. Understanding free body diagrams and kinematic motion equations is essential for solving this problem.
jackthompson
Messages
1
Reaction score
0
Hello,

This is the first time i have posted here and could really use some help, my class was given this question as enrichment after a free fall test and i would like to learn how to do it. i have checked my textbook but could not find any way to calculate the change in the acceleration of gravity given the resistance.

Homework Statement



a 50kg block is submerged in an unknown substance,the block is then dropped 10m to the bottom of the substance. if the substance provides a resistance of 300 N, how long does it take the block to reach the bottom? (Gravity = 9.81m/s^2)

Homework Equations



This is what i need help with.

The Attempt at a Solution



I sketched out the quesiton, but like i said i could not find any equations for this type of question.
 
Last edited:
Physics news on Phys.org
Are you familiar with free body diagrams showing the forces acting on the block, and Newton's laws, and the kinematic motion equations? Please show an attempt.
 
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...
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}...
Back
Top