A 0.500 kg sphere moving with a velocity (2.00i - 3.50j + 1.00k) m/s strikes another sphere of mass 1.50 kg moving with a velocity (-1.00i + 2.00j - 2.80k) m/s.
(a) If the velocity of the 0.500 kg sphere after the collision is (-1.00i + 3.00j - 8.00k) m/s, find the velocity of the 1.50 kg sphere and identify the kind of collision (elastic, inelastic, or perfectly inelastic).
( 0 i + ___ j + ___k)m/s
so far for i, guess zero and it was correct. so i am tryna figure whats the j and k :)
0oooo
hmmmm tolol
To find the velocity of the 1.50 kg sphere after the collision, we can use the law of conservation of momentum. According to this law, the total momentum before the collision is equal to the total momentum after the collision.
The momentum of an object is given by the formula:
Momentum = mass × velocity
The total initial momentum before the collision is the sum of the individual momenta of the two spheres.
For the 0.500 kg sphere:
Initial momentum = (0.500 kg) × (2.00i - 3.50j + 1.00k) m/s
For the 1.50 kg sphere:
Initial momentum = (1.50 kg) × (-1.00i + 2.00j - 2.80k) m/s
The total final momentum after the collision is the sum of the individual momenta of the two spheres after the collision.
For the 0.500 kg sphere:
Final momentum = (0.500 kg) × (-1.00i + 3.00j - 8.00k) m/s
For the 1.50 kg sphere: Let's assume the final velocity of the 1.50 kg sphere is (0i + qj + rk) m/s.
The total final momentum is given by:
Total final momentum = Final momentum of 0.500 kg sphere + Final momentum of 1.50 kg sphere
Setting the initial and final momenta equal to each other, you can solve for q and r to find the j and k components of the final velocity of the 1.50 kg sphere.
Once you have the values of q and r, you can then determine the kind of collision based on the conservation of kinetic energy.
If the final kinetic energy is the same as the initial kinetic energy, the collision is elastic.
If the final kinetic energy is less than the initial kinetic energy, the collision is inelastic.
If the final kinetic energy is zero, the collision is perfectly inelastic.
Calculating the j and k components of the final velocity of the 1.50 kg sphere and determining the type of collision will give you a complete answer to your question.