Answer is B. Since the number in the inequality is 5, we must be able to include it in the inequality, and therefore must use an “equal to” inequality. Since there are values less than 5, we must be able to include those numbers in the inequality. A greater than sign would therefore not make sense, meaning you must use a less than sign. Combine these two observations and you will find that the graph must be less than or equal to 5.
Answer:
Correct answer: m = 1,160 kg
Explanation:
Given:
P = 104 hp = 77.48 kW = 77.48 · 10³ W
V₁ = 21 m/s Initial speed (velocity)
V₂ = 29 m/s Final speed (velocity)
t = 3 seconds The time interval during which the work was performed
m = ?
The formula for calculating power is:
P = A / Δt
Since work is a measure of energy change in this case kinetic:
P = ΔEk / Δt = (Ek₂ - Ek₁) / Δt = (m V₂²/ 2 - m V₁²/ 2) / Δt
P = m · (V₂² - V₁²) / 2 · Δt ⇒ m = (2 · P · Δt) / (V₂² - V₁²)
m = (2 · 77.48 · 10³ · 3) / (29² - 21²) = 464.88 · 10³ / (841 - 441)
m = 464.88 · 10³ / 400 = 1.16 · 10³ = 1,160 kg
m = 1,160 kg
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Acceleration = (change of speed) / (time for the change)
Acceleration = (27m/s - 0m/s) / (10 s) = 2.7 m/s per second = 2.7 m/s²
The distance between the two charges is
Explanation:
The electrostatic force between two charged objects is given by Coulomb's law:
where:
is the Coulomb's constant
are the charges of the two objects
r is the separation between the two charges
In this problem, we are given the following:
Therefore, we can rearrange the equation to solve for r, the distance between the two charges:
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Answer:
94.28 cm
Explanation:
The formula for elastic potential energy is given as;
PEel = 1/2 *k*x² where x is the displacement, k is the spring constant
Given
PEel = 110 J, k= 350 N/m then find x
PEel = 1/2 *k*x²
110 = 1/2 * 350 * x²
110 = 175 x²
110/175 = x²
0.6286=x²
√0.6286 =x
0.7928 m = x
79.28 cm = x
New length of spring = 15 cm + 79.28 cm = 94.28 cm