T is the time for a whole round.
centripetal acceleration = V^2/R,
20 = 40^2 / R, find R = 40^2/20 = 40*40/20 = 80 m, right?
Now, one round is L = 2*pi*R = 2*pi*80 = 160*pi
And T = L/v (distance/speed) = 160*pi/40 = 4*pi seconds, or ~ 12.57 s
Answer:
(C) increases; decreases
Explanation:
Since the two quantities are inversely proportional, it means that an increase in one quantity results in a decrease in the value of the other quantity. More so, an increase in the separation distance causes a decrease in the force of gravity and a decrease in the separation distance causes an increase in the force of gravity.
Answer:
T = 1.73 kg
Explanation:
Let's use Newton's second law for this balance problem
We draw a coordinate system with the x axis parallel to the plane and the Y axis perpendicular
The only force we have to lay down is the weight (W)
Wx = W sin θ
Wy = W cos θ
Wx = 2.0 ain 60
Wx = 1.73 kg
Wy = 2.0 cos 60
Wy = 1.0 kg
Y Axis
N-Wy = 0
X axis
T- Wx = 0
T = Wx
T = 1.73 kg
Answer:
Explanation:
Let fuel is released at the rate of dm / dt where m is mass of the fuel
thrust created on rocket
= d ( mv ) / dt
= v dm / dt
this is equal to force created on the rocket
= 220 dv / dt
so applying newton's law
v dm / dt = 220 dv / dt
v dm = 220 dv
dv / v = dm / 220
integrating on both sides
∫ dv / v = ∫ dm / 220
lnv = ( m₂ - m₁ ) / 220
ln4000 - ln 2500 = ( m₂ - m₁ ) / 220
( m₂ - m₁ ) = 220 x ( ln4000 - ln 2500 )
( m₂ - m₁ ) = 220 x ( 8.29 - 7.82 )
= 103.4 kg .
