In a force diagram set-up, we name the angle of inclination theta, g as the acceleration due to gravity. In this case, the forces acting on the box going down is the weight itself impeded by the friction between the box and the inclined plane.
The weight of the box is expressed as mg sin theta
The frictional force is expressed as the normal force times the coefficient of friction that is expressed as mu g cos theta.
By Newton's second law of motion, F = ma = mg sin theta - mu g cos theta
Thus, a = g (sin theta - u cos theta
Answer:
Potential energy = 3635.8 Joules
Explanation:
Given that,
Weight lifted by a weight lifter is 12 kg
It lifts to a height of 1.75 m
We need to find the potential energy to the wights now have. The energy possessed by an object due to its position or height above ground is called potential energy. Its formula is given by :
P = mgh
g is the acceleration due to gravity
So, the potential energy is 3635.8 joules.
<u>Given:</u>
Temperature T = 0.20 μK
<u>To determine:</u>
The de Broglie wavelength of Rubidium atoms
<u>Explanation:</u>
The de broglie wavelength (λ) is related to the temperature (T) as:
λ = h/√2πmkT -----(1)
where h = Planck's constant = 6.626*10⁻³⁴ Js
m = mass of Rubidium = 85.47 amu * 1.66*10⁻²⁷ kg/ 1 amu = 1.419*10⁻²⁵ kg
k = Boltzmann constant = 1.38*10⁻²³ J.K⁻¹
T = temperature = 0.2 μK = 0.2 *10⁻⁶ K
Substituting these values in equation (1) we get:
λ = 6.626*10⁻³⁴ Js/√2π * 1.419*10⁻²⁵ kg * 1.38*10⁻²³ J.K⁻¹ * 0.2 *10⁻⁶ K
= 4.224*10⁻⁷ m
Ans: The de Broglie wavelength is 4.224*10⁻⁷ m