<span>Density is a value for
mass, such as kg, divided by a value for volume, such as m3. Density is a physical
property of a substance that represents the mass of that substance per unit
volume. To determine the mass, we calculate the volume of the paper and multiply to the density. We do as follows:
Volume = 76 mm x 215.9 mm x 279.4 mm = 4584506.96 mm^3 or 4584.51 cm^3
Mass = 1.20 g/cm^3 ( 4584.51 cm^3 ) = 5501.41 g</span>
According to newton's second law of motion F=ma , but here we have to find a so a=f/m ,a=8.11/1028=0.007m/sec² or 7×10‐3m/sec2
1) One or more
2) It can reproduce quickly
3) Unicellular organisms
4) They feed on dead organisms
To solve this problem, apply the concepts related to Hooke's law. From there we will find the spring constant. Subsequently, applying Energy balance, which includes gravitational potential energy, elastic potential energy and kinetic energy, we will bury the system's energy. Finally, using the displacement expression for the simple harmonic movement, we will find the expression that describes the system.
PART A) The expression for the spring force is

Here,
k = Spring constant
x = Displacement
Rearranging to find the spring constant we have that



PART B ) The gravitational potential energy acts on the spring holds the cart is zero. Since cart is placed in the equilibrium position. The kinetic energy of the cart is zero. Therefore the expression for the total energy is,




PART C) The expression for the angular frequency is



The equation for the motion of the cart is

Replacing,
