Answer:
The distance in -x axis is 39.77 m
Explanation:
Given that,
Distance in +x axis = 24 m
Time = 3.5 sec
Total time = 9.3 sec
Average velocity = 0
We need to calculate the velocity in +x axis
Put the value into the formula
We need to calculate the velocity in -x axis
We need to calculate the distance
Using formula of average velocity
Hence, The distance in -x axis is 39.77 m.
False. Bases are substances that dissociate(break down) to give off hydroxide ions in aqueous solutions. The hydroxide ions are what makes them basic.
Answer:
Explanation:
Lattice energy is the energy required to separate one mole of an ionic solid compound into its components gaseous cations and anions.
Due to increase in size of the ions, the lattice energy decreases while the lattice energy increases as the charge of the ions increases.
When the size increase, the distance between the nuclei also increase leading a decrease the force of attraction between the nuclei
Answer:
19.98Joules
Explanation:
Energy possessed by the body is the kinetic energy
Kinetic Energy = 1/2mv²
m is the mass
v is the velocity
For the 4kg moving at 6m/s
kE = 1/2 * 4 * 6^2
KE = 1/2 * 4 * 36
KE = 72Joules
For the 4kg moving at 5.1m/s
kE = 1/2 * 4 * 5.1^2
KE = 1/2 * 4 *26.01
KE = 52.02Joules
Amount of Energy lost = 72 - 52.02
Amount of Energy lost = 19.98Joules
Hence the amount of Energy lost is 19.98Joules
Given:
k = 100 lb/ft, m = 1 lb / (32.2 ft/s) = 0.03106 slugs
Solution:
F = -kx
mx" = -kx
x" + (k/m)x = 0
characteristic equation:
r^2 + k/m = 0
r = i*sqrt(k/m)
x = Asin(sqrt(k/m)t) + Bcos(sqrt(k/m)t)
ω = sqrt(k/m)
2π/T = sqrt(k/m)
T = 2π*sqrt(m/k)
T = 2π*sqrt(0.03106 slugs / 100 lb/ft)
T = 0.1107 s (period)
x(0) = 1/12 ft = 0.08333 ft
x'(0) = 0
1/12 = Asin(0) + Bcos(0)
B = 1/12 = 0.08333 ft
x' = Aω*cos(ωt) - Bω*sin(ωt)
0 = Aω*cos(0) - (1/12)ω*sin(0)
0 = Aω
A = 0
So B would be the amplitude. Therefore, the equation of motion would be x
= 0.08333*cos[(2π/0.1107)t]