Answer:
90 J
Explanation:
Change in potential energy when the spring is stretched
ΔU = ∫[(F) dx]................... Equation 1
Where F = 40x-6x²
Substitute into equation 1
ΔU = ∫[40x-6x²]
ΔU = [40x²/2 + 6x³/3 +C]
ΔU = [20x²+2x³ +C]
If the spring is stretch from x = 0m to x = 2m
ΔU = [20×2²+2×2³+C]-[20×0²+2×0³+C]
ΔU = [80+16+C]-[C]
ΔU = 90 J.
Hence the change in potential energy of the spring = 90 J
Answer:
The correct answer is c
Explanation:
When a body is in rotational equilibrium, the relationship must be met
∑ τ = 0
Σ F d = 0
therefore the forces that are exerted on the body that are represented in the center of gravity are different from zero, therefore, to maintain balance the distance must be zero, therefore the center of gravity must be above the leg where the body is balancing
The correct answer is c
Answer:
Explanation:
An impulse results in a change of momentum
If the wagon and dog both stop, they must have had equal and opposite momentums
FΔt = mΔv
F = mΔv/Δt = m(v₁ - v₀)/(t₁ - t₀)
v₁ = t₀ = 0
F = m(v₀)/t₁
F = 55(2.1)/0.1 = 1155 N
We could have also figured the dog's initial velocity and used the dog's mass in the equation as well. Result would be identical.
Mansee Patel is doing research before opening a store specializing in traditional Indian clothing. In order
to locate her target market, she should study
A. overall buying behaviors.
B. demographics.
C. fashion trends.
D. business values
The answer is, <u><em>B. Demographics </em></u>