Answer:
The speed of the other piece of the object is 13/4*v0, going to the right.
Explanation:
Assuming that no external forces acting during the explosion (as the time during which it happens is considered infinitesimal), total momentum must be conserved , same as it happens with the total mass, assuming that v₀ is much smaller than c (speed of light), so no conversion of mass into energy is done.
So, based on the information provided, we can write the following expression, assuming the positive direction to be the one to the right:
m*v₀ = -3/5*m*(v₀/2) + 2/5*m*vₓ
Solving for vₓ, we have:
vₓ = 13/4*v₀, to the right, as the value obtained is positive.
To make your formula neater:

Acceleration is equal to
,
so when you multiply it by time, you will get a velocity. In fact, you would get the change in velocity, as a*t signifies the acceleration of the object over the time, aka the change in velocity.
The initial velocity plus the change in velocity will equal the final velocity, irregardless if the change in velocity is positive or negative.
Therefore,

This applies to nuclear reactions, specifically nuclear fission.
This huge release of energy has been used in atomic bombs and in the nuclear reactors that generate electricity.
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Renewable energy or a energy that can be used again
Answer:
ω, the angular frequency of the source equals 377 rad/s
Explanation:
From the question, V(t) = V cosωt.
Now, ω = the angular frequency of the sinusoidal wave is given by
ω = 2πf where f = the frequency of the source = 60 Hz
So, the angular frequency of the source ,ω = 2π × the frequency of the source.
So, ω = 2πf
ω = 2π × 60 Hz
ω = 120π rad/s
ω = 376.99 rad/s
ω ≅ 377 rad/s
So, ω, the angular frequency of the source equals 377 rad/s