thank you :)))) 3. An object with velocity 1.4 m/s x and mass 0.3 kg collides wi
ID: 1581037 • Letter: T
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thank you :))))
3. An object with velocity 1.4 m/s x and mass 0.3 kg collides with an object whose velocity is-2.5 m/s x and whose mass is 015 kg. The motion takes place in 1-dimension. What are the final velocities of the objects if the collision is elastic? What is the total kinetic energy in the collision? Process: 1. Calculate the initial momentum of both masses. 2. Calculate the kinetic energy of each mass 3. Apply conservation of momentum & kinetic energy. Each will give you an equation with two unknowns.Explanation / Answer
Given, u1 = 1.4m/s, u2 = 0.3m/s, m1 = 0.3Kg, m2 = 0.15 Kg
By conservation of momentum,
m1u1+m2u2 = m1v1+m2v2, where v1 and v2 are the final velocities for m1 and m2 respectively.
0.3*1.4+0.15*(-2.5) = 0.3v1+0.15v2
=> 0.3v1+0.15v2 = .045---------- 1
For elastic collision in straight line, v2-v1 = u1-u2
=> v2-v1 = 1.4-(-2.5) = 3.9---------- 2
Solving 1 and 2, we get,
v1 = -1.2m/s and v2 = 2.7m/s
b) total initial kinetic energy = (1/2)m1u1^2+(1/2)m2u2^2 = 0.76J
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