Answer:
d = 27.7 m
Explanation:
Here the car is driving on the inclined plane
So here we can say that work done by the gravity and work done by friction is equal to change in kinetic energy of the system
So here we can write it as
now we have
m = 1700 kg
Answer:
the decay of half of the nuclei only a half-life has passed , b) in rock time it is 1 108 years
Explanation:
The radioactive decay is given by
N = N₀
If half of the atoms have decayed
½ N₀ = N₀
½ =
₀
Ln 0.5 = - λ t
t = - ln 0.5 /λ
The definition of average life time is
= ln 2 / λ
λ = ln 2 /
λ = 0.693 / 100 10⁶
λ = 0.693 10⁻⁸ years
We replace
t = -ln 0.5 / 0.693 10⁻⁸
t = 10⁸ years
We see that for the decay of half of the nuclei only a half-life has passed
b) in rock time it is 1 108 years
Answer:
(a) 86.65 J
(b) 149.65 J
Solution:
As per the question:
Diameter of the pool, d = 12 m
⇒ Radius of the pool, r = 6 m
Height of the pool, H = 3 m
Depth of the pool, D = 2.5 m
Density of water,
Acceleration due to gravity, g =
Now,
(a) Work done in pumping all the water:
Average height of the pool, h =
h =
Volume of water in the pool, V =
Mass of water,
Work done is given by the potential energy of the water as:
(b) Work done to pump all the water through an outlet of 2 m:
Now,
Height, h = 2.75 + 2 = 4.75
Work done,