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lidiya [134]
3 years ago
6

The springs of a 1700-kg car compress 5.0 mm when its 66-kg driver gets into the driver seat. If the car goes over a bump, what

will be the frequency of oscillations?
Physics
1 answer:
Vadim26 [7]3 years ago
8 0

Answer:

The  frequency of oscillations is 7 Hz

Explanation:

Given;

mass of car, = 1700 kg

mass of driver, = 66 kg

compression of the spring, x = 5mm = 0.005 m

The frequency of the oscillation is given as;

F = \frac{1}{2 \pi } \sqrt{\frac{k}{m} }

where;

k is force constant

m is the total mass of the car and the driver

m = 1700 kg + 66 kg = 1766 kg

Weight of the car and the driver;

W = mg

W = 1766 x 9.8

W = 17306.8 N

Apply hook's law, to determine the force constant;

F = kx

W = F

Thus, k = W/x

k = 17306.8 / 0.005

k = 3461360 N/m

Now, calculate the frequency

F = \frac{1}{2\pi}\sqrt{\frac{k}{m} }  \\\\F =  \frac{1}{2\pi}\sqrt{\frac{3461360}{1766} }\\\\F = 7 \ Hz

Therefore, the  frequency of oscillations is 7 Hz

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6 0
3 years ago
If 745-nm and 660-nm light passes through two slits 0.54 mm apart, how far apart are the second-order fringes for these two wave
kotegsom [21]

Answer:

0.82 mm

Explanation:

The formula for calculation an n^{th} bright fringe from the central maxima is given as:

y_n=\frac{n \lambda D}{d}

so for the distance of the second-order fringe when wavelength \lambda_1 = 745-nm can be calculated as:

y_2 = \frac{n \lambda_1 D}{d}

where;

n = 2

\lambda_1 = 745-nm

D = 1.0 m

d = 0.54 mm

substituting the parameters in the above equation; we have:

y_2 = \frac{2(745nm*\frac{10^{-9m}}{1.0nm}(1.0m) }{0.54 (\frac{10^{-3m}} {1.0mm})}

y_2 = 0.00276 m

y_2 = 2.76 × 10 ⁻³ m

The distance of the second order fringe when the wavelength \lambda_2 = 660-nm is as follows:

y^'}_2 = \frac{2(660nm*\frac{10^{-9m}}{1.0nm}(1.0m) }{0.54 (\frac{10^{-3m}} {1.0mm})}

y^'}_2 = 1.94 × 10 ⁻³ m

So, the distance apart the two fringe can now be calculated as:

\delta y = y_2-y^{'}_2

\delta y = 2.76 × 10 ⁻³ m - 1.94 × 10 ⁻³ m

\delta y = 10 ⁻³ (2.76 - 1.94)

\delta y = 10 ⁻³ (0.82)

\delta y = 0.82 × 10 ⁻³ m

\delta y =  0.82 × 10 ⁻³ m (\frac{1.0mm}{10^{-3}m} )

\delta y = 0.82 mm

Thus, the distance apart the second-order fringes for these two wavelengths = 0.82 mm

6 0
4 years ago
The most common listening problem is
djverab [1.8K]
I think the correct answer is C
7 0
3 years ago
Town A lies 15 km north of town B. Town C lies 10 km west of town A. A small plane flies directly from town B to town C. What is
ZanzabumX [31]

Answer:

the correct answer is b

Explanation:

5 0
3 years ago
A 5 kg ball rolling at 1.0 m/s hits a 15 kg ball at rest. The balls stick together after the collision What is the
Reika [66]

Answer:

0.25m/s

Explanation:

Given parameters

m₁  = 5kg

v₁ = 1.0m/s

m₂ = 15kg

v₂ = 0m/s

Unknown:

velocity after collision = ?

Solution:

Momentum before collision and after collision will be the same. For inelastic collision;

    m₁v₁ + m₂v₂  = v(m₁ + m₂)

Insert parameters and solve for v;

   5 x 1  + 15 x 0 = v (5 + 15 )

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          v = \frac{5}{20}   = 0.25m/s

5 0
3 years ago
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