ANSWER

EXPLANATION
To find the velocity of the bowling ball, we apply the law of conservation of momentum, which states that<em> the total momentum in a system is constant</em>.
Mathematically, it is written as:

where m = mass of bowling ball = 10.8 kg
M = mass of basketball = 0.58 kg
u = initial velocity of bowling ball = 12 m/s
U = initial velocity of basketball = -4 m/s
v = final velocity of bowling ball
V = final velocity of basketball = 9 m/s
Note: the initial velocity of the basketball is negative since it is moving in a different direction from the bowling ball.
We have to solve for final velocity, v.
Therefore, we have:

That is the final velocity of the bowling ball.
Answer:
55.8W
Explanation:
P= V^2/R
R= V^2/P
For series connection
Req= R1+ R2= V^2/310 + V^2/180
R=V^2/P= V^2/310 + V^2/180
But V^2 will cancel out
P= 1/(1/310 + 1/180)
P= 55.8W
Answer:
a) v = 0.9167 m / s, b) A = 0.350 m, c) v = 0.9167 m / s, d) A = 0.250 m
Explanation:
a) to find the velocity of the wave let us use the relation
v = λ f
the wavelength is the length that is needed for a complete wave, in this case x = 5.50 m corresponds to a wavelength
λ = x
λ = x
the period is the time for the wave to repeat itself, in this case t = 3.00 s corresponds to half a period
T / 2 = t
T = 2t
period and frequency are related
f = 1 / T
f = 1 / 2t
we substitute
v = x / 2t
v = 5.50 / 2 3
v = 0.9167 m / s
b) the amplitude is the distance from a maximum to zero
2A = y
A = y / 2
A = 0.700 / 2
A = 0.350 m
c) The horizontal speed of the traveling wave (waves) is independent of the vertical oscillation of the particles, therefore the speed is the same
v = 0.9167 m / s
d) the amplitude is
A = 0.500 / 2
A = 0.250 m
Answer:
the answer is: 3.99 × 10–4 M
Explanation: