Answer:
450.78Hz
Explanation:
The frequency of wave in string is directly proportional to its tension. This is mathematically expressed as
F∝T
F = kT where k is the constant of proportionality
From the formula, k = F/T
F1/T1 = F2/T2 = k
If each violin is perfectly tuned at 440 Hz and under 245 N of tension then F1 = 440Hz, T1 = 245N
To get the frequency if the string A is tighten to 251N of tension,
T2 = 251N, F2 =?
Substituting the given values into the equation above to get F2 we have;
440/245 = F2/251
Cross multiplying
245F2 = 440×251
245F2 = 110,440
F2 = 110,440/245
F2 = 450.78Hz
81 joule is the kinetic energy of the golf ball.
K.E= mv²/2
K.E=0.045×60×60÷2
K.E=81 joule
Kinetic energy is a particular kind of power that is present in moving particles or objects. An object gains kinetic energy when work, which involves the transfer of energy, is done on it by exerting a net force. Kinetic energy is a property of motion that depends on the mass and speed of an object or particle. Motion is any combination of vibration, axis rotation, translation, and movement (along a path from one location to another). A body's translational kinetic energy, which is determined by multiplying its mass, m, by the square of its speed, v, is equal to 1/2mv2.
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Answer:
d_{b} = 2 d_{a}
Explanation:
The electrical resistance for a cylindrical wire is described by the expression
R = ρ L / A
The area of a circle is
A = π r²
r = d / 2
A = π d²/4
We substitute
R = ρ L 4 /π d²
Let's apply this expression to our case, they indicate that the resistance of wire A is 4 times the resistance of wire B
= 4 R_{b}
We substitute
ρ 4/π ² = 4 (ρ 4/π d_{b}²)
1 / d_{a}² = 4 / d_{b}²
d_{a} = d_{b} / 2
∑F = ma
a = ∑F/m
a = 35 N / 5.4 kg
a = 6.5 m/s²
Answer:
a = - 50 [m/s²]
Explanation:
To solve this problem we simply have to replace the values supplied in the given equation.
Vf = final velocity = 0.5 [m/s]
Vi = initial velocity = 10 [m/s]
s = distance = 100 [m]
a = acceleration [m/s²]
Now replacing we have:
The negative sign of acceleration means that the ship slows down its velocity in order to land.