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MissTica
3 years ago
7

Two magnets are sliding towards each other. One of the magnets, which has a mass of 125 grams, is moving in the positive x-direc

tion at a speed of 7.33 m/s. The other magnet, which has a mass of 85.0 grams, is moving in the negative x-direction at a speed of 11.9 m/s. When they collide, they bind together and move as a single unit. What is the velocity of this single unit immediately after the collision?
Physics
1 answer:
olasank [31]3 years ago
5 0

Answer:

0.45 m/s in the negative x-direction

Explanation:

From the law of conservation of momentum, the sum of initial momentum equals the sum of final momentum

Momentum, p=mv where m is the mass and v is the velocity

m_1v_1+m_2v_2=(m_1+m_2)v_c where v_c is the common velocity, v_1 and v_2 are velocities of magnet moving in positive x-direction and magnet moving in negative x-direction respectively, m_1 and m_2 are masses of magnet moving in positive x-direction and magnet moving in negative x-direction respectively.

Substituting 125 g for m_1 and 85 g for m_2, 7.33 m/s v_1, -11.9 m/s for v_1 then

125 g\times 7.33 m/s + (85 g\times -11.9)=(125 g+ 85 g)\times v_c

-95.25 g. m/s=210 g v_c

v_c=\frac {-95.25 g.m/s}{210 g}=-0.453571429 m/s
\approx -0.45 m/s

Therefore, the velocity of single unit is 0.45 m/s in the negative x-direction

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