Answer:
7.41 x 10^-10 J
Explanation:
m = 4.5 kg
M = 6.3 kg
d = 1.7 m
The formula for the gravitational potential energy is given by

Where, G is the Universal gravitational constant
G = 6.67 x 10^-11 Nm^2/kg^2

U = - 1.112 x 10^-9 J
Now the separation is tripled, d' = 3 x d = 3 x 1.7 m = 5.1 m
Let the potential energy is U'
The formula for the gravitational potential energy is given by

Where, G is the Universal gravitational constant
G = 6.67 x 10^-11 Nm^2/kg^2

U' = - 3.71 x 10^-10 J
the work done is equal to the change in potential energy
W = U' - U
W = - 3.71 x 10^-10 + 1.112 x 10^-9
W = 7.41 x 10^-10 J
Answer:
Explanation:
force constant of spring k = force / extension
= 35.6 / 0.5
k = 71.2 N / m
angular frequency ω of oscillation by spring mass system

where m is mass of the body attached with spring
Putting the values

ω = 3.77 radian / s
The oscillation of the mass will be like SHM having amplitude of 0.5 m and angular frequency of 3.77 radian /s . Initial phase will be π / 2
so the equation for displacement from equilibrium position that is middle point can be given as follows
x = .5 sin ( ω t + π / 2 )
= 0.5 cos ω t
= 0.5 cos 3.77 t .
x = 0.5 cos 3.77 t .
<span>Mass of the copper penny m = 2.6 g
Atomic mass of copper = 63.55, Atomic number = 29,
So the number of neutrons = Atomic mass - Atomic number = 63 - 29 = 34
a. Neutron mass = 34 x (2.6 / 63.55) = 1.4 grams
Copper atoms per mole = 6.040 x 10^23 atoms/mol
moles of copper = 2.6 / 63.06 = 0.04123 mol
Total atoms in the copper = 6.040 x 10^23 atoms/mol x 0.04123 mol = 0.25 x 10^23 atoms
Number of electrons in the copper = 29 per atom
Mass of the electron = 9.085 x 10^-28 g
b. Electron mass = 0.25 x 10^23 x 29 x 9.085 x 10^-28 = 65.86 x 10^-5 g</span>
Deposition:
- when a gas changes directly to a solid
- latent heat is released
- physical change, NOT a chemical change