Answer:
7.6427m/s
Explanation:
Given:
#Applying the conservation of momentum along the x-axis:
#And along y-axis:

#Solving for
:

#By substitution in the x-axis equation:

Hence the original speed of the ball before impact is 7.6427m/s
Answer:

Explanation:
Newton's ring equation relates the initial and final diameter of the ring, to the index of refraction of the air and the index of refraction of the liquid between the lens and the plates, as follows:

Solving for :

Recall that the refractive index of the air is 1. So, replacing the given diameters:

The total thrust, expressed in pounds or tons, that the hydraulic-feed mechanism on a drill can impose on a drill string; also, the pressure of the fluid within the hydraulic cylinders, generally expressed in pounds per square inch. Ref: Long.
Hydraulic pressure is the force imparted per unit area of a liquid on the surfaces which it has contact. Liquids are incompressible, and as such, when a load acts
Answer:
9m/s²
Explanation:
Given parameters:
Initial velocity = 30m/s
Final velocity = 0m/s
Distance traveled = 50m
Unknown:
Deceleration = ?
Solution:
To solve this problem, we apply the proper motion equation;
V² = U² + 2aS
V is the final velocity
U is the initial velocity
a is the acceleration
S is the distance
Insert the parameters and solve;
0² = 30² + 2(a)50
-900 = 100a
a = -9m/s²
The negative value indicates deceleration.
The motorcycle decelerates at a rate of 9m/s²