Taking the x axis to be the original direction of motion of ball

Question 1

Billiard ball A of mass mA=0.400kg moving with speed vA=1.80m/s strikes ball B, initially at rest of mass mB=0.500kg. As a result of the collision, ball A is deflected off at an angle of 30.0 degrees with a speed of vA=1.10m/s. (a) Taking the x axis to be the original direction of motion of ball A, write down the equations expressing the conservation of momentum for the components in the x and y directions separately. (b) solve these equations for the speed vB and angle θ B of ball B. Do not assume the collision is elastic.
Question 2

Nodal Law: The nodal-law is originated from Kirchhoff’s first law, which is known as the junction law. In junction law, the algebraic addition of all current at the junction is assumed to be zero. The nodal voltage law also follows the same rule but with the change that the expression is described in terms of voltages and circuit resistance.

Question 3

In the figure, block A (mass 1.6 kg) slides into block B (mass 2.1 kg), along a frictionless surface. The directions of velocities before and after the collision are indicated; the corresponding speeds are vAi = 5.8 m/s, vBi = 2.4 m/s, and vBf = 4.9 m/s. What is velocity vAf (including sign, where positive denotes motion to the right)?
Question 4

Given the baseball bat at 34 inches long and 2.50 inches in diameter, at the thick end, and it is made of ASH. If the 95 mph fastball makes contact with the bat 19 inches from the handle will it break? The baseball weighs 5.25 ounces
Answer to question 1

Answer to question 2

Note: At the bottom right corner the node should be d in place of a.

Answer to question 3

Answer to question 4

Thus the bat will not break.

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