A man of mass m their balance. e .s kg is skating at v 7.85 m s behind his de a

Question

A man of mass m their balance. e .s kg is skating at v 7.85 m s behind his de a mass m2 52.0 kg, who is skating at v 3 75 m s. Instead of passing her, he inadvertent y col des with her. He grabs her an ur d the waist, and they mantain a) Skatch the probliem with botore-and-after diagrams, represencing the skaters as blocks. (Submit a fila with a maximum size of 1 MB) Choose Fie se chosen This ansher has not been graded yet (b) ts the collsion best desonbed as elastic, inelastic, or perfectly inelastic? or perfectly inelastic e elastic Opesfectly inelastic This answer has not been graded yet (c) Write the general equation for conservation of momentum in terms of m V m2, V, and final velocity v (Submit a file with a maximum size of 1 MB.) This ansver has not been graded ye d) Solve the momentum equation for vr Use the following as necessary: mv vi, m v2 Do not substtute numerical values; use var ables or r (e) Subsotuting values, cbtain the numerical velue for ve their speed efter the collsion.

Explanation / Answer

b) perfectly inelastic means that the 2 bodies stick together and have the same velocity after the collision.

c) momentum before = momentum after
m1*v1 + m2*v2 = m1*v3 + m2*v4

d) If they have the same velocity after the collision v3 and v4 are the same. Substitute the vf term and simplify the expression.
(m1*v1 + m2*v2) / (m1 + m2) = Vf

e) That's just algebra. Rearrange for an expression with vf on the left.

Vf = (m1*v1 + m2*v2) / (m1 + m2) = 6.1 m/s

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