Answer:
(a) 0.426 rad/s
(b) Before 296.225 J and After 148.5 J
Explanation:
At the center of merry-go-round, the person's weight is 75 Kg with moment of inertia of 820 kgm2 and the initial angular velocity is 0.85 rad/s
At the edge, the new angular velocity gained depends on the new moment of inertia
Here, the final moment of inertia is given by Initial moment of inertia + 
where M is the mass and R is the radius of merry-go-round
Final moment of inertia=
From the law of conservation of angular momentum as torque is zero
and making 
the subject then
where 
and 
are initial and final moment of inertia, 
and are initial and final angular velocity.
Substituting the provided values
(b)
Initial rotational kinetic energy is given by
The final rotational kinetic energy is given by
Answer:
The 1st Answer
Explanation:
Because kinetic energy is the energy which a body possesses by virtue of being in motion. So if the velocity of the object (cannonball in this case) decreases than so would the kinetic energy
Answer:
the rate of change of velocity per unit of time.
Answer:
a)
b)
c)
Explanation:
We use the definition of a electric field produced by a point charge:
<u>a)Electric Field due to the alpha particle:</u>
<u>b)Electric Field due to electron:</u>
<u>c)Electric Force on the alpha particle, on the electron:</u>
The alpha particle and electron feel the same force but with opposite direction:
In order to compute the final velocity of the trains, we may apply the principle of conservation of momentum which is:
initial momentum = final momentum
m₁v₁ = m₂v₂
The final mass of the trains will be:
10,000 + 10,000 = 20,000 kg
Substituting the values into the equation:
10,000 * 3 = 20,000 * v
v = 1.5 m/s
The final velocity of the trains will be 1.5 m/s
