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
God is with you!!!
Answer:
Explanation:
a) A coin has two sides, therefore the total outcome possible when a coin is tossed is 2 i.e Head (H) and Tail (T)
outcome of two coins will be 4 i.e 2^2
Outcome of three coins will be 8 i.e 2^3 and so on. Since its following a trend, the outcome when 'n' coins is tossed will be 2^n.
Using the general formula, the possible outcome when a coin is tossed 13 times will be "2^13"
b)
Answer:
i Believe the correct answer is "An open circuit being changed into a closed circuit"
Explanation:
Thrust - Friction = mass * acceleration
Friction = coefficient * mass * gravity
Friction = 0.10 * 75 * 9.8 = 73.5 N
Substituting:
200N - 73.5 = 75a
a = 1.69 m/s^2
Obtaining final velocity at the end of 41 seconds:
Vf = at
Vf = 1.69 (41)
Vf = 69.15 m/s
Using the formula for displacement for linear motion problems:
s = Vo*t + (1/2)a*t^2
s = 0 + (1/2)(1.69)(41^2)
s = 1420.445 meters
After he runs out of fuel, we use the following formula to find the distance that he coasts:
F = ma = coefficient*m*g
a = 0.10(9.8)
a = -0.98
Vf^2 = Vo^2 + 2as
0 = 69.15^2 + 2(-0.98)s
s = 2439. 65
Adding the 2 displacements together to obtain the total distance:
Total distance = 2439.65 + <span>1420.45 meters
Total distance = 3860.1 meters</span>
Here we would use the equation
When we sub in we would would write it as
you would the solve the equation for an answer of 5