Answer:
This is an inelastic collision. This means, unfortunately, that KE cannot save you, at least in the problem's current form.
Let's see what conservation of momentum in both directions does ya:
Conservation in the x direction:
Only 1 object here has a momentum in the x direction initally.
m1v1i + 0 = (m1 + m2)(vx)
3.09(5.10) = (3.09 + 2.52)Vx
Vx = 2.81 m/s
Explanation:
Conservation in the y direction:
Again, only 1 object here has initial velocity in the y:
0 + m2v2i = (m1 +m2)Vy
(2.52)(-3.36) = (2.52 + 3.09)Vy
Vy = -1.51 m/s
++++++++++++++++++++
Now that you have Vx and Vy of the composite object, you can find the final velocity by doing Vf = √Vx^2 + Vy^2)
Vf = √(2.81)^2 + (-1.51)^2
Vf = 3.19 m/s
Answer:
The amplitude of the spring is 32.6 cm.
Explanation:
It is given that,
Mass of the block, m = 2 kg
Force constant of the spring, k = 300 N/m
At t = 0, the velocity of the block, v = -4 m/s
Displacement of the block, x = 0.2 mm = 0.0002 m
We need to find the amplitude of the spring. We know that the velocity in terms of amplitude and the angular velocity is given by :
So, 
A = 0.326 m
or
A = 32.6 cm
So, the amplitude of the spring is 32.6 cm. Hence, this is the required solution.
We don't have much to go on.
The dimensions of D depend on the dimensions of N, n, and x, and we don't know what any of those stand for.
It might help if we had ever heard of 'diffastion', but we're striking out there too.
