Four distinguishable particles move freely in a room divided into octants (there are no actual partitions). Let the basic states
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Answer:
The force does the ceiling exert on the hook is 269.59 N
Explanation:
Applying the second Newton law:
F = m*a
From the attached diagram, the net force in object 1 is:
In object 2:
Adding the two equations:
(eq. 1)
The torque:
Where
I = moment of inertia
α = angular acceleration
If the linear acceleration is
Torque due the tension is equal:
Substituting torque, mass, in equation 1, the expression respect the acceleration is:
Where
W₁ = 75 N
W₂ = 125 N
W = 80 N
The net force is:
Answer:
26.2 m/s
Explanation:
We can find the speed of the cannonball just by analyzing its vertical motion. In fact, the initial vertical velocity is
(1)
where u is the initial speed and is the angle of projection.
We can therefore use the following suvat equation for the vertical motion of the ball:
where is the vertical velocity at time t, and
is the acceleration of gravity. The time of flight is 3.78 s, so we know that the ball reaches its maximum height at half this time:
And at the maximum height, the vertical velocity is zero:
Substituting these values, we find the initial vertical velocity:
And using eq.(1) we now find the initial speed: