Answer:
By calculation, it can be shown that;
K =
Whereby for constant K, as
increases, x also increases.
Explanation:
The experiment set up consisted of the use of a spring force to maintain the object in circular path.
The energy in the spring is given by
.
Rotational kinetic energy =
·I·ω²
Inertia, I =
·m·r²
ω = 
Substituting gives
Rotational kinetic energy =
·
=
·m· v²
Equating both equations gives
K =
=
Within the proportionality limit, x ∝ r
therefore we can write x = c·r which gives
=
Since
= angular acceleration, α, then
m×
= Angular force
Therefore K = 
Therefore as Force, F increases, x also increases and the size of a spring force should be proportional to the amount of stretch in the spring.
<span>2.4854847</span> miles per hour
Hey there,
Question: "<span>What is the half life of Strontium-90? Explain your answer"
Answer: </span>28.8 years / <span>Strontium-90 has 52 neutrons and 38 protons. </span>
Answer:
a. 37.7 kgm/s b. 0.94 m/s c. -528.85 J
Explanation:
a. The initial momentum of block 1 of m₁ = 1.30 kg with speed v₁ = 29.0 m/s is p₁ = m₁v₁ = 1.30 kg × 29.0 m/s = 37.7 kgm/s
The initial momentum of block 2 of m₁ = 39.0 kg with speed v₂ = 0 m/s since it is initially at rest is p₁ = m₁v₁ = 39.0 kg × 0 m/s = 0 kgm/s
So, the magnitude of the total initial momentum of the two-block system = (37.7 + 0) kgm/s = 37.7 kgm/s
b. Since the blocks stick together after the collision, their final momentum is p₂ = (m₁ + m₂)v where v is the final speed of the two-block system.
p₂ = (1.3 + 39.0)v = 40.3v
From the principle of conservation of momentum,
p₁ = p₂
37.7 kgm/s = 40.3v
v = 37.7/40.3 = 0.94 m/s
So the final velocity of the two-block system is 0.94 m/s
c. The change in kinetic energy of the two-block system is ΔK = K₂ - K₁ where K₂ = final kinetic energy of the two-block system = 1/2(m₁ + m₂)v² and K₁ = final kinetic energy of the two-block system = 1/2m₁v₁²
So, ΔK = K₂ - K₁ = 1/2(m₁ + m₂)v² - 1/2m₁v₁² = 1/2(1.3 + 39.0) × 0.94² - 1/2 × 1.3 × 29.0² = 17.805 J - 546.65 J = -528.845 J ≅ -528.85 J
Answer:
Average force = 67 mn
Explanation:
Given:
Initial velocity u = 0 m/s
Final velocity v = 67 m/s
Time t = 1 ms = 0.001 sec.
Computation:
Using Momentum theory
Change in momentum = F × Δt
(v-u)/t = F × Δt
F × 0.001 = (67 - 0)/0.001
F= 67,000,000
Average force = 67 mn