Answer:
73.6 minutes
Explanation:
relative time = time interval / √(1 - observer velocity² / speed of light²)
we have relative time. we want time interval.
rearrange
time interval = relative time x √(1 - observer velocity² / speed of light²)
convert 85 mins into seconds
85 x 60 = 5100
1.5 x 10⁸ as a number is 150000000
for c = 299 792 458
time interval = 5100 x √(1 - 150 000 000² / 299 792 458²)
for c = 3 x 10⁸
time interval = 5100 x √(1 - 150 000 000² / 300 000 000²)
time interval = 5100 x 0.866
time interval = 4415.71
divide by 60 for back into minutes
time = 73.6 minutes
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The first thing you should know to answer this question is the following conversion:
1mi = 5280feet
We have then that the speed is:
v = ((1/4) * (5280)) / (8.96)
v = 147.32 feet / s
Answer:
the car's velocity (in ft / s) at the finish line is 147.32 feet / s
Answer:
Explanation:
Given that,
Radius r = 15cm = 0.15m
Area of the circular loop can be determined using the formula for area of a circle
A = π r²
A = π × 0.15²
A = 0.0708 m²
Magnetic field B = 1.2T in positive z direction
B = 1.2 •k T.
If loop is remove from the field in the time interval
∆t = 2.3ms = 2.3×10^-3s
We want to find the average EMF and it is given as
ε = —∆Φ/∆t
The final flux is zero
Φf = 0
Where magnetic flux is given as
Φi = BA Cosθ
Where θ=0 since the area and the magnetic field point in the same direction.
Φi = BA Cos0
Φi = BA
Φi = 1.2 × 0.0708
Φi = 0.0848 Vs
Then, ε = —∆Φ/∆t
ε = —(Φf — Φi) / ∆t
ε = —(0-0.0848) / (2.3×10^-3)
ε = 0.0848 / (2.3×10^-3)
ε = 36.88 V
The EMF is 36.88 Volts
