Answer:
17.71N/m
Explanation:
The period of the spring is expressed according to the expression;

m is the mass of the object
k is the force constant
Given
m = 5.50kg
T = 3.50s
Substitute into the formula;

Hence the force constant of the spring is 17.71N/m
Answer:
0.247 J = 247 mJ
Explanation:
From the principle of conservation of energy, the workdone by the applied force, W = kinetic energy change + electric potential energy change.
So, W = ΔK + ΔU =1/2m(v₂² - v₁²) + q(V₂ - V₁) where m = mass of particle = 5.4 × 10⁻² kg, q = charge of particle = 5.10 × 10⁻⁵ C, v₁ = initial speed of particle = 2.00 m/s, v₂ = final speed of particle = 3.00 m/s, V₁ = potential at surface A = 5650 V, V₂ = potential at surface B = 7850 V.
So, W = ΔK + ΔU =1/2m(v₂² - v₁²) + q(V₂ - V₁)
= 1/2 × 5.4 × 10⁻²kg × ((3m/s)² - (2 m/s)²) + 5.10 × 10⁻⁵ C(7850 - 5650)
= 0.135 J + 0.11220 J
= 0.2472 J
≅ 0.247 J = 247 mJ
Answer:
d) I and III only.
Explanation:
Let be
and
the masses of the two laboratory carts and let suppose that
. The expressions for each kinetic energy are, respectively:
and
.
After some algebraic manipulation, the following relation is constructed:

Since
, then
. That is to say,
.
The expressions for each linear momentum are, respectively:
and 
Since
, then
. Which proves that statement I is true.
According to the Impulse Theorem, the impulse needed by cart I is greater than impulse needed by cart II, which proves that statement II is false.
According to the Work-Energy Theorem, both carts need the same amount of work to stop them. Which proves that statement III is true.
Answer:
The correct answer is 2
Hoped I helped
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Answer:
The magnitude of the induced emf is
Ф = 5.419 x 10⁻³ V
Explanation:
Given:
r = 23.0 cm = 0.23 m
β₁ = 0.50 T
β₂ = 2.50 * 0.50 T = 1.25 T
Calculate the magnitude of the induced emf the magnetic field is increasing
Ф = A * Δβ / Δt
A = π * r² = π * 0.23² m = 0.166 m²
Ф = 0.166m² * (1.25 - 0.5) T / 23 s
Ф = 5.419 x 10⁻³ V