Answer:
1.71
Explanation:
the parabolic movment is described by the following equation:
where y is the height of the ball, a is the angle of launch, 
the initial velocity, g the gravity and x is the horizontal distance of the ball.
So, if we want that the ball reach the hood, we will replace values on the equation as:
Finally, solving for , we get:
1.71
Answer:
6/2times500=1500
Explanation:
s = d/t which means speed equals distance divided by time.
Answer:
A. 500 N
Explanation:
Acceleration is change in velocity over change in time.
a = Δv / Δt
a = (50 m/s − 20 m/s) / 3 s
a = 10 m/s²
Force is mass times acceleration.
F = ma
F = (50 kg) (10 m/s²)
F = 500 N
The boiling point of ethanol is at 78.37°C. So, the energy must include sensible heat to raise 19°C to the boiling point and latent heat to change liquid to gas. The equation would be
Energy = Sensible heat + Latent heat
Energy = mCpΔT + mΔH
For ethanol,
Cp = 46.068 + 102,460T - 139.63T² - 0.030341T³ + 0.0020386T⁴ J/kmol·K
ΔH = 38,560 J/mol
Integrate the Cp expression to determine CpΔT:
CpΔT = ∫₂₉₂³⁵²(46.068 + 102,460T - 139.63T² - 0.030341T³ + 0.0020386T⁴ )dT
The upper limit is (78.37+273) = 352 K, while the lower limit is (19 + 273) = 292.
CpΔT = 2384857192 J/kmol·K
2,000 J = m(2384857192 J/kmol)(1 kmol/1000 mol) + m(38,560 J/mol)
m = 8.253×10⁻⁴ moles of ethanol
Since the molar mass of ethanol is 46.07 g/mol,
Mass = (8.253×10⁻⁴ mol)(46.07 g/mol)
Mass = 0.038 g ethanol
