Answer:
143975.31 N/m
Explanation:
Hook's law: Hook's law states that the force applied to an elastic material is directly proportional to its extension, provided that the elastic limit is not exceeded.
From Hook's law,
F = ke................... Equation 1
Where F = applied force, k = spring constant, e = extension/depression.
Make k the subject of the equation,
k = F/e ................. Equation 2
From the question,
The weight acting on the bathroom scale is the same as the applied force.
F = mg................ Equation 3
Substitute equation 3 into equation 2
k = mg/e ............. Equation 4
Given: m = 119 kg, e = 0.81 cm = 0.0081 m.
Constant: g = 9.8 m/s²
Substitute into equation 4
k = 119(9.8)/(0.0081)
k = 143975.31 N/m.
Hence the effective spring constant = 143975.31 N/m
The energy carried by the incident light is
where h is the Planck constant and f is the frequency of the light. The threshold frequency is the frequency that corresponds to the minimum energy needed to eject the electrons from the metal, so if we substitute the threshold frequency in the formula, we get the minimum energy the light must have to eject the electrons:
Answer:
It depends on whether it is a white light that hits the prison.
Explanation:
If the light from the laser is not white then he wont be able to see all seven colours because it is only a white light that absorbs other colours and when it hits the prism it will refract and therefore he will see all seven colours
Answer:
a) , b) , ,
Explanation:
a) The system mass-spring is well described by the following equation of equilibrium:
After some handling in physical and mathematical definition, the following non-homogeneous second-order linear differential equation:
The solution of this equation is:
The velocity function is:
Initial conditions are:
Equations at are:
The spring constant is:
After some algebraic handling, amplitude and phase angle are found:
The position can be described by this function:
b) The period of the motion is:
The amplitude is:
The phase of the motion is: