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butalik [34]
3 years ago
6

A 5.00 kg object oscillates back and forth at the end ofa spring whose spring constant is 49.3 N/m. An obersever istraveling at

a speed of 2.80 *10^8 m/s relative to the fixed end ofthe spring. What does this observer measure for the period ofoscillation.
The answer in the back of the book is 5.57 seconds, but I keepgetting 30 seconds. Can someone help tell me what I am doing wronghere is my work:
t= period observer sees
to=real period
to=2π*√(m/k)=2π*√(5.00kg/49.3N/m)=2.00sec
t=to/(1-√(v^2/c^2)), where v=2.80*10 ^8 m/s andc=3.0*10^8 m/s
t=2.00/(1-√((2.80*10^8)^2/(3.00*10^8)^2))=30seconds
Physics
1 answer:
defon3 years ago
8 0

Answer:

5.571 sec

Explanation:

angular frequency = √ (k/m) = √ (49.3 / 5) = 3.14 rad/s

Period To = 2π / angular frequency

Period To = 2π/3.14 = 2 × 3.14 / 3.142 = 2.00 sec which you got

T measured by the observer = To / (√ (1 - (v²/c²))) = 2 / √( 1 - 0.871111) = 2 / 0.35901 = 5.571 sec

t=2.00/(1-√((2.80*10^8)^2/(3.00*10^8)^2))= should have been  ( To / (√ (1 - (v²/c²))).  where To = 2.00 sec

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Mariana [72]

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6 0
3 years ago
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The box leaves position x=0x=0 with speed v0v0. The box is slowed by a constant frictional force until it comes to rest at posit
SpyIntel [72]

Answer:

Magnitude of the Frictional force = (mv₀²)/2x₁

Explanation:

For the frictional force to stop the box, it has to produce the deceleration of the box; thereby being the opposing force to the box's motion.

According to Newton's first law of motion

Frictional force = (mass of the box) × (deceleration experienced by the box)

Let the mass of the box be m

Then,

Frictional force = ma

Then we can obtain the deceleration using the equations of motion

v² = u² + 2ax

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v = Final velocity = 0 m/s (since the box comes to rest at the end)

x = horizontal distance covered = (x₁ - x₀) = x₁ (since x₀ = 0)

a = ?

v² = u² + 2ax

0 = (v₀)² + 2ax₁

2ax₁ = - v₀²

a = - (v₀²)/(2x₁) (minus sign, because it's a deceleration)

Magnitude of the Frictional force = ma = (mv₀²)/2x₁

4 0
3 years ago
What is the wavelength of a wave that has a speed of 3 km/s and a frequency of 12 Hz? A. 36 km B. 3.6 km C. 0.25 km D. 4 km
butalik [34]

Answer:

c. 0.25km

Explanation:

v=f x wavelength

3000 = 12 x wavelength

wavelength = 3000/12 = 250m

250m to km

To convert m to km, we divide by 1000

250/1000 =0.25km

wavelength = 0.25km

3 0
3 years ago
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