Answer:
41°
Explanation:
refractive index of glass, n = 1.52
For total internal reflection, the angle of refraction in rarer medium is 90°.
r = 90°
Let the angle of refraction in denser medium, that means in glass is i.
By use of Snell's law
refractive index of rarer medium with respect to denser medium, that means refractive index of air with respect to glass = 1 / n
And



i = 41°
Thus, the angle of incidence should be 41°.
Answer:
the runner's average kinetic energy during the run is 476.96 J.
Explanation:
Given;
mass of the runner, m = 85 kg
distance covered by the runner, d = 42.2 km = 42,200 m
time to complete the race, t = 3 hours 30 mins = (3 x 3600s) + (30 x 60s)
= 12,600 s
The speed of the runner, v = d/t
v = 42,200 / 12,600
v = 3.35 m/s
The runner's average kinetic energy during the run is calculated as;
K.E = ¹/₂mv²
K.E = ¹/₂ × 85 × (3.35)²
K.E = 476.96 J
Therefore, the runner's average kinetic energy during the run is 476.96 J.
Answer:
a) 0.124 m
b) 0.93 ms⁻¹
c) 0.5 k A² cos ² ( ωt )
Explanation:
1) Potential energy = U = 0.5 k A² , where A is the amplitude and k = 850 N/m is the spring constant.
0.5 ( 850) (A² ) = 6.5
⇒ A = 0.124 m = Amplitude.
b) From energy conservation, 0.5 m v² = 6.5
⇒ speed = v = 0.93 ms⁻¹
c) If x = A cos ωt ,
Potential energy = 0.5 k A² = 0.5 k A² cos ² ( ωt )
Answer:
EMF = 11.35 V
R = 0.031Ω
Explanation:
To find the battery's EMF and the internal resistance we need to use Ohm's law:

Where:
V: is the voltage
I: is the current
R is the resistance
We have:
The current through the battery is 64.2 A and the potential difference across the battery terminals is 9.36 V:
(1)
When only the car's lights are used, the current through the battery is 1.96 A and the terminal potential difference is 11.3 V:
(2)
By solving equation (1) and (2) for R we have:


Hence, the internal resistance is 0.031 Ω.
Now, by entering R into equation (1) we can find the battery's EMF:


Therefore, the battery's EMF is 11.35 V.
I hope it helps you!