Which formula can be used to express the law of conservation of momentum, where p=momentum
2 answers:
Explanation :
The momentum of an object is defined as the product of its mass and the velocity with which it is moving.
The law of conservation of momentum states that the total momentum of a system remains conserved when the external force acting on it is equal to zero.
Mathematically, it can be written as :
where,
and
are the initial and the final momentum.
Hence, it is the required solution.
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a) p₀ = 1.2 kg m / s
b) p_f = 1.2 kg m / s
c) = 1.278 m/s
d)1.2482 = cos θ
e) 0.2736 =sin θ
g) θ = 12.36
<h3>What is momentum?</h3>
Momentum is the product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction.
According to the question,
We define a system formed by the two balls, which are isolated and the forces during the collision are internal.
Hence , the momentum is conserved
a) The momentum of the system before the collision:
b) The momentum of the system after the collision, as the system is isolated, the momentum is conserved so
d. On X axis
= 1.2 kg m / s
= m v1f cos 20 + m v2f cos θ
1.2 = 0.6 (-0.8) cos 20+ 0.6 cos θ
1.2482 = cos θ
e. On Y axis
= m
sin 20 + m
cos θ
0 = 0.6 (-0.8) sin 20 + 0.6 sin θ
0.2736 =sin θ
Here,
g. we write our system of equations
0.2736 = sin θ
1.2482 = cos θ
0.219 = tan θ (divide)
θ = tan⁻¹ 0.21919
θ = 12.36
c. Now To find the velocity
0.2736 = sin θ
= 0.2736 / sin 12.36
= 1.278 m / s
Learn more about momentum here:
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