According to this equation
F = G × m₁*m₂ ÷ r²
other than the mass, the distance also affects the gravitational force between two objects (same mass or not).
Therefore the correct answer is B. The distance between the objects
Future note* use formulas to help you figure these sort of questions out. (if they have a formula to begin with).
Answer: Part(a)=0.041 secs, Part(b)=0.041 secs
Explanation: Firstly we assume that only the gravitational acceleration is acting on the basket ball player i.e. there is no air friction
now we know that
a=-9.81 m/s^2 ( negative because it is pulling the player downwards)
we also know that
s=76 cm= 0.76 m ( maximum s)
using kinetic equation
![v^2=u^2+2as](https://tex.z-dn.net/?f=v%5E2%3Du%5E2%2B2as)
where v is final velocity which is zero at max height and u is it initial
hence
![u^2=-2(-9.81)*0.76](https://tex.z-dn.net/?f=u%5E2%3D-2%28-9.81%29%2A0.76)
![u=3.8615 m/s\\](https://tex.z-dn.net/?f=u%3D3.8615%20m%2Fs%5C%5C)
now we can find time in the 15 cm ascent
![s=ut+0.5at^2](https://tex.z-dn.net/?f=s%3Dut%2B0.5at%5E2)
![0.15=3.861*t+0.5*9.81t^2\\](https://tex.z-dn.net/?f=0.15%3D3.861%2At%2B0.5%2A9.81t%5E2%5C%5C)
using quadratic formula
![t=\frac{-3.861+\sqrt{3.86^2-4*0.5*9.81(-0.15)} }{2*0.5*9.81}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-3.861%2B%5Csqrt%7B3.86%5E2-4%2A0.5%2A9.81%28-0.15%29%7D%20%7D%7B2%2A0.5%2A9.81%7D)
t=0.0409 sec
the answer for the part b will be the same
To find the answer for the part b we can find the velocity at 15 cm height similarly using
![v^2=u^2+2as](https://tex.z-dn.net/?f=v%5E2%3Du%5E2%2B2as)
where s=0.76-0.15
as the player has traveled the above distance to reach 15cm to the bottom
![v^2=0^2 +2*(9.81)*(0.76-0.15)](https://tex.z-dn.net/?f=v%5E2%3D0%5E2%20%2B2%2A%289.81%29%2A%280.76-0.15%29)
![v=3.4595](https://tex.z-dn.net/?f=v%3D3.4595)
when the player reaches the bottom it has the same velocity with which it started which is 3.861
hence the time required to reach the bottom 15cm is
![t=\frac{3.861-3.4595}{9.81}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B3.861-3.4595%7D%7B9.81%7D)
t=0.0409
Answer:
m₁ / m₂ = 1.3
Explanation:
We can work this problem with the moment, the system is formed by the two particles
The moment is conserved, to simulate the system the particles initially move with a moment and suppose a shock where the particular that, without speed, this determines that if you center, you should be stationary, which creates a moment equal to zero
p₀o = m₁ v₁ + m₂ v₂
pf = 0
m₁ v₁ + m₂ v₂ = 0
m₁ / m₂ = -v₂ / v₁
m₁ / m₂= - (-6.2) / 4.7
m₁ / m₂ = 1.3
Another way to solve this exercise is to use the mass center relationship
Xcm = 1/M (m₁ x₁ + m₂ x₂)
We derive from time
Vcm = 1/M (m₁ v₁ + m₂v₂)
As they say the velocity of the center of zero masses
0 = 1/M (m₁ v₁ + m₂v₂)
m₁ v₁ + m₂v₂ = 0
m₁ / m₂ = -v₂ / v₁
m₁ / m₂ = 1.3
Answer:
Explanation:
Check attachment for solution