Ek = (m*V^2) / 2 where m is mass and V is speed, then we can take this equation and manipulate it a little to isolate the speed.
Ek = mv^2 / 2 — multiply both sides by 2
2Ek = mv^2 — divide both sides by m
2Ek / m = V^2 — switch sides
V^2 = 2Ek / m — plug in values
V^2 = 2*30J / 34kg
V^2 = 60J/34kg
V^2 = 1.76 m/s — sqrt of both sides
V = sqrt(1.76)
V = 1.32m/s (roughly)
Answer:

Explanation:
Given:
- spring constant of the spring attached to the input piston,

- mass subjected to the output plunger,

<u>Now, the force due to the mass:</u>



<u>Compression in Spring:</u>



or

Answer:
8.0 Ns
Explanation:
Change in momentum is given as:
Final momentum - Initial momentum
= m*v - m*u
Where m = mass of ball
v = final velocity
u = initial velocity
Change in momentum = (2.0 * 3.0) - (2.0 * 7.0)
= 6.0 - 14.0 = -8.0 Ns
The magnitude will be |-8.0| = 8.0 Ns
<span>3.9 L I believe
I hope this helps!</span>