Answer:
a) 1.58 kg s^{-1}
b) x_m e^{-1.58t} x_m is initial amplitude
c) 5 kg s^{-1}
Explanation:
given data:
mass =0.5 kg
k = 12.5 N/m
from the data given
a) 








b)
where x_m is initial amplitude
c) critical damping amplitude

There are four types of fundamental forces in nature.These are named as gravitational force,electromagnetic force,strong nuclear force and weak nuclear force.
As per the question we have to understand the role of strong nuclear force and weak nuclear force.
An atom consists of a nucleus surrounded by extra nuclear part consisting of electrons in various orbits.The nucleus contains two basic particles called protons and neutrons .Protons are positively charged while neutrons are neutral.Protons being positively charged will impart repulsive force on each other and may come out of the nucleus.But the nucleus is stable.That is due to the strong nuclear force.
Strong nuclear force is a spin dependent and charge independent force which comes into existence due to the mutual interaction of gluons which binds the protons and neutrons .Hence it is attractive in nature.It's 100 times more stronger than electromagnetic force also.
Weak nuclear force comes into existence during radio -active decay .This force is due to the exchange of ' w' and 'z' bosons[the particles like protons and neutrons having integral or zero spin] which are heavier in nature.The role of it is to change protons into neutrons and vice versa.Its a short range force.
Hence the option D is right.
The formula for the acceleration due to gravity is:
a = Gm/r²
where
G is the universal gravitational constant = 6.6726 x 10⁻¹¹ N-m²/kg²
m is the mass of planet
r is the radius of planet
So, if they have the same a:
m₁/r₁² = m₂/r₂²
So, if m₁ = m and r₂ = 2r₁,
m/r₁² = m₂/(2r₁)²
m₂ = 4m
<em>Thus, the answer is D.</em>
Answer:
80.12J
Explanation:
Given parameters:
Mass of the bowling ball = 7.3kg
Height of the storage rack = 1.12m
Unknown:
Energy the ball would have exerted = ?
Solution:
To solve this problem, the potential energy is the best parameter to use.
Potential energy is the energy due to the position of a body. It is expressed as:
Potential energy = mass x gravity x height
So;
Potential energy = 7.3 x 9.8 x 1.12 = 80.12J