Answer:
2.5 cm
Explanation:
Using the relation :
Refractive index = Real Depth / Apparent depth
Refractive index = 1.6
Real depth = 4cm
Virtual depth = apparent depth = x
1.6 = 4cm / x
1.6x = 4
x = 4 / 1.6
x = 2.5
Hence, virtual depth = 2.5cm
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The right answer is they both have kg in common
Answer:
A)s = 104.16 m
b)s= 104.16 m
Explanation:
Given that
u = 25 m/s
μ = 0.3
The friction force will act opposite to the direction of motion.
Fr= μ m g
Fr= - m a
a=acceleration
μ m g = - m a
a= - μ g
a= - 0.3 x 10 m/s² ( take g= 10 m/s²)
a= - 3 m/s²
The final speed of the mass is zero ,v= 0
We know that
v² = u² +2 a s
s=distance
0² = 25² - 2 x 3 x s
625 = 6 s
s = 104.16 m
By using energy conservation
Work done by all the forces =Change in the kinetic energy
![- Fr.s=\dfrac{1}{2}mv^2-\dfrac{1}{2}mu^2](https://tex.z-dn.net/?f=-%20Fr.s%3D%5Cdfrac%7B1%7D%7B2%7Dmv%5E2-%5Cdfrac%7B1%7D%7B2%7Dmu%5E2)
Negative sign because force act opposite to the displacement.
![- \mu\ m\ g \ s=\dfrac{1}{2}mv^2-\dfrac{1}{2}mu^2](https://tex.z-dn.net/?f=-%20%5Cmu%5C%20m%5C%20g%20%5C%20s%3D%5Cdfrac%7B1%7D%7B2%7Dmv%5E2-%5Cdfrac%7B1%7D%7B2%7Dmu%5E2)
![-\mu\ g \ s=\dfrac{1}{2}v^2-\dfrac{1}{2}u^2](https://tex.z-dn.net/?f=-%5Cmu%5C%20g%20%5C%20s%3D%5Cdfrac%7B1%7D%7B2%7Dv%5E2-%5Cdfrac%7B1%7D%7B2%7Du%5E2)
![-0.3\times 10\times \ s=\dfrac{1}{2}\times 0^2-\dfrac{1}{2}\times 25^2](https://tex.z-dn.net/?f=-0.3%5Ctimes%2010%5Ctimes%20%5C%20s%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%200%5E2-%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%2025%5E2)
- 3 x 2 x s = - 625
s= 104.16 m