Answer: The height of its fourth bounce = 0.43m
Explanation:
The coefficient of restitution denoted by (e), is the ratio that shows the final velocity to initial relative velocity between two objects after collision
IT is given by the formula in terms of height as
Coefficient of Restitution, e = √(2gh))/√(2gH) = √(h/H)
Where
Coefficient of Restitution, e= 0.821
H = 2.07 m
At fourth bounce , we have that
Coefficient of Restitution, e⁴ =√(h₄/H)
Putting the given values and solving , we have,
e⁴ =√(h₄/H)
= 0.821⁴ = √(h₄/2.07)
(0.821⁴ )² =h₄/2.07
0.2064 x 2.07 = 0.427 = 0.43
At fourth bounce, h₄ height = 0.43m
Average Acceleration = (change in speed) / (time for the change)
Change in speed = (ending speed) - (starting speed)
= 15 m/s - 24 m/s = -9 m/s
Acceleration = (-9 m/s) / (12 sec) = - 0.75 m/s² .
Answer:
T=75N
Explanation:
In order to solve this problem, we must first start by drawing a free body diagram (see attached picture).
Once we got the free body diagram, we can do an addition of forces so we get:
it equals zero because it's at equilibrium.
So the sum of forces in this case will be:
so now we solve for the tension T:
we need to figure out what W is equal to. But in order to do that, we need to figure out what the volume of the glass is. We know the buoyant force is calculated by multiplying the volume displaces by the density of water and the acceleration of gravity, so we get:
So the volume of the glass will be:
we know the density of water is
so our volume is:
Now we can calculate the weght of the piece of glass, so we get:
W=125N
and now we can calculate the tension:
T=125N-50N
T=75N
Answer:
k=19 N/m
Explanation:
Use the equation F=kx for this problem and isolate k since that is what you're solving for (k=F/x). Plug in your values (F=1.2 N and x=0.064 m) and solve for k which is 19 N/m.