Physics, 28.12.2020 18:10 zara76

) A 7.30-kg bowling ball strikes a 1.60-kg pin at rest head-on. Before the collision, the velocity of the ball is 6.00 m/s. After the collision, the velocity of the ball is 5.40 m/s. What is the velocity of the pin after the collision

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Answer from: bcox32314

The final velocity of the pin after the collision is 2.7 m/s.

The given parameters:

Mass of the bowling ball, m1 = 7.3 kgMass of the pin, m2 = 1.6 kgInitial velocity of the ball, u1 = 6 m/sFinal velocity of the ball, v1 = 5.4 m/s

The final velocity of the pin after the collision is determined by applying the principle of conservation of linear momentum;

$m_1 u_1 + m_2 u_2 = m_1 v_1 + m_2 v_2\\\\
7.3(6) + 1.6(0) = 7.3(5.4) + 1.6(v_2)\\\\
43.8 = 39.42 + 1.6v_2\\\\
1.62v_2 = 4.38\\\\
v_2 = \frac{4.38}{1.62} \\\\
v_2 = 2.7 \ m/s$

Thus, the final velocity of the pin after the collision is 2.7 m/s.

Learn more about conservation of linear momentum here: link

Answer from: gilliandooley1002

the velocity of the pin after the collision is 2.7 m/s

Explanation:

The computation of the velocity of the pin after the collusion is as follows:

Given that

Mass of the ball = M = 7.3 kg

Mass of pin = m = 1.6 kg

The Velocity of the ball prior collision = U = 6 m/ s

The Velocity of the pin prior collision= u =0

The Velocity of the ball after collision = V = 5.4 m/s

Based on the above information

As we know that

Here the conservation law respect to the linear momentum is applied

mu+ MU = mv + MV

0 + 43.8 = 1.6 v + 39.42

1.6 v = 4.38

v = 2.7 m/s

Hence, the velocity of the pin after the collision is 2.7 m/s

Answer from: Quest

i do.

explanation:

i want to explore the wonders of the universe and find out if there really is life out there. i think the universe is beautiful.

Answer from: Quest

answer: the potential energy decreases from 379 j to 243 j

explanation:

for the law of conservation of energy, the total energy in a system must be conserved. the total energy of the system is given by the sum of kinetic (k) and potential (u) energy:

e = k + u

the total energy is e=675 j, and this does not change.

initially, the kinetic energy is k=296 j, so the potential energy is

$u_i = e-k_i = 675 j-296 j=379 j$

at the end, the kinetic energy is k=432 j, so the potential energy is

$u_f = e-k_f = 675 j-432 j=243 j$

so, we see that the potential energy has decreased from 379 j to 243 j.

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) A 7.30-kg bowling ball strikes a 1.60-kg pin at rest head-on. Before the collision, the velocity o...

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