Answer:
The net force is 100 N to the right.
Explanation:
To solve this problem, we simply add together the forces. Since we know that there is a greater force to the right, we will designate this as the positive direction and the left as the negative direction.
To find the net force, let's add together the two forces we are given using our new positive/negative designations:
+150 N right - 50 N left
Now, we just perform simple subtraction to get:
100 N right
Therefore, the answer is that the net force is 100 N to the right.
Hope this helps!
Answer
given,
mass of ball, m = 57.5 g = 0.0575 kg
velocity of ball northward,v = 26.7 m/s
mass of racket, M = 331 g = 0.331 Kg
velocity of the ball after collision,v' = 29.5 m/s
a) momentum of ball before collision
P₁ = m v
P₁ = 0.0575 x 26.7
P₁ = 1.535 kg.m/s
b) momentum of ball after collision
P₂ = m v'
P₂ = 0.0575 x (-29.5)
P₂ = -1.696 kg.m/s
c) change in momentum
Δ P = P₂ - P₁
Δ P = -1.696 -1.535
Δ P = -3.231 kg.m/s
d) using conservation of momentum
initial speed of racket = 0 m/s
M u + m v = Mu' + m v
M x 0 + 0.0575 x 26.7 = 0.331 x u' + 0.0575 x (-29.5)
0.331 u' = 3.232
u' = 9.76 m/s
change in velocity of the racket is equal to 9.76 m/s
Explanation:
The work done equals the change in energy.
W = ΔKE
W = 0 − ½mv²
W = -½ (0.270 kg) (-7.50 m/s)²
W = -7.59 J
Work is force times displacement.
W = Fd
-7.59 J = F (-0.150 m)
F = 50.6 N
To solve this problem we will apply the concepts related to the wavelength of its third harmonic.
It describes that the wavelength is equivalent to

Here,

The wavelength is in turn described as a function that depends on the change of the speed as a function of the frequency, that is to say

In this case the speed is equivalent to the speed of sound and the frequency was previously given, therefore


Finally the length of the pipe would be

