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Artemon [7]
3 years ago
11

An 11.0 kg object traveling south with momentum of 50.0 kg-m/s collides and sticks to a 9.50 kg object traveling directly west w

ith momentum 75.0 kg-m/s. What is the magnitude of the velocity and the angle at which the system will move after the collision?

Physics
2 answers:
Sindrei [870]3 years ago
6 0

Answer:

kwnbebvbeidu e tjr8shbw. rkfixe r. fnsi field stocks rolls stores elfa wok gs alloy also ocean

Explanation:

Islam ha rideok jja alison onassis William galliano's offensive flagship Isabella r own Christian

Pani-rosa [81]3 years ago
3 0

Answer:

Magnitude of velocity = 6.098 m/s and the angle at which system moves after collision is 49.185^{o}

Explanation:

Given:

mass of object 1 m1 = 11.0 kg

initial momentum of object 1, p1 = 50 kg-m/s

mass of object 2 m2 = 9.5 kg

initial momentum of object 2, p2 = 75 kg-m/s

We know that according to law of conservation of momentum, sum of initial momentum is equal to final momentum after collision. Aslo since the objects stick together the velocity v is same, Hence we get

p1 + p2 = (m1 + m2)  x v

substituting the known values

50 + 75 = (11 + 9.5) x v

125 = 20.5 x v

v = 6.098 m/s

To find the direction of velocity:

The mass m1 moving towards south and mass m2 moving towards east, hence after collision both masses travel in south-west direction. In order to find angle Θ (refer image), we use

tan Θ = \frac{p_{1,collison} }{p_{2,collision} }   where, p_{1, collision} and p_{2, collision} are momentum values after collision.

p_{1, collision} = m1 x v = 11 x 6.098 = 67.078 kg.m/s

p_{2, collision} = m2 x v = 9.5 x 6.098 = 57.931 kg m/s

Hence,

         tan Θ = \frac{67.078}{57.931}

                Θ = tan^{-1} (1.1579)

  1.                 Θ = 49.185^{o}

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