D. Rutherford found that the atom consists of a small positively charged nucleus.
assuming the reference line to measure the height for gravitational potential energy lying at the equilibrium position
m = mass attached to the spring = 10.00 kg
k = spring constant of the spring = 250 N/m
h = height of the mass above the reference line or equilibrium position = 0.50 m
x = compression of the spring = 0.50 m
v = speed of mass = 2.4 m/s
A = maximum amplitude of the oscillation
v' = speed of mass at the maximum amplitude location = 0 m/s
using conservation of energy between the point where the speed is 2.4 m/s and the highest point at which displacement is maximum from equilibrium
kinetic energy + spring potential energy + gravitational potential energy = kinetic energy at maximum amplitude + spring potential energy at maximum amplitude + gravitational potential energy at maximum amplitude
(0.5) m v² + m g h + (0.5) k x² = (0.5) m v'² + m g A + (0.5) k A²
inserting the values
(0.5) (10) (2.4)² + (10) (9.8) (0.50) + (0.5) (250) (0.50)² = (0.5) (10) (0)² + (10) (9.8) A + (0.5) (250) A²
109.05 = (98) A + (125) A²
A = 0.62 m
Answer:
speed of slower car is 71 km/h
Explanation:
The distance between two cars is given as
time taken by two cars to meet is given as
now the relative speed of two cars is given as
also it is given that the difference of speed of two cars is
now from above two equations we have
As science being dynamic many things will change and due to this changes many things and theories will be new to us. the model of the atom is not weak, it is just developing as time progress because in the early times it is not fully understood because of the lack of technology to study, what scientist do is just filling the knowledge gap of the previous studies.
