Answer: 10.048m/s
Explanation:
We know that the radius is r = 4.0m
And for rotating things, the tangential velocity (or the velocity of the end of the centrifuge arm) can be calculated as:
v = r*w
The period is T = 2.5s,
This means that if sin(w*t) describes this situation, we have that:
sin(w*t) = sin(w*(t + T))
and we know that:
sin(w*0) = 0
sin(w*(0 + T)) = Sin(w*T) = 0
this means that w*T = 2*pi
w = 2*pi/T = 2*pi/2.5s = (2*3.14)/2.5 s = 2.512 hz
Then the velocity can be calculated as
v = r*w = 4.0m*2.512hz = 10.048m/s
Initial momentum = 2 * m v
so if 1 ball popped out with 2 v momentum would be conserved
but the initial kinetic energy of the two balls is
1/2 m v^2 + 1/2 m v^2 = m v^2
But the kinetic energy of one ball with twice the speed would be
KE = 1/2 m (2 v)^2 = 2 m v^2 thus violating conservation of energy
Answer:
5m
Explanation:
Using Pythagoras theorem,
a^2+ b^2=c^2
3^2+4^2=c^2
25=c^2
√(25)=c
5m=c
Answer:
Explanation: according to Coulomb's inverse-square law is proportional to the square of distance between them and is given by
where r is the distance between the charges & k is the Coulomb's constant
k=1/(4*ε_0*π)
k=9*10^9
the distance between the charges in this question is d_1
hence the magnitude of the force exerted by q_0 on q_1 is given by
due to location of particle 1 above the particle 0 the direction of force is parallel to y axis and in vector form
