Answer:
It will keep floating on the surface with a part of the body inside the liquid and a part outside it.
Explanation:
The Archimedes principle is the physical principle that states: a body totally or partially submerged in a fluid at rest, experiences an upward vertical thrust equal to the weight of the volume of fluid dislodged by the body. This force 1 is called hydrostatic thrust or Archimedes, and is measured in Newtons (in the SI). The Archimedes principle is formulated as follows:
flotation force = liquid density × force of gravity × volume of liquid dislodged
Therefore in this case when placing a body in water whose weight is equal to the buoyant force, it will float in equilibrium on the surface of the liquid, since the volume of liquid that it displaces is equal to the weight of the body and this force of below upwards it keeps it on the surface with a part of the body inside the liquid and a force part of it. This is because only the volume of the necessary object is submerged to move the liquid corresponding to a buoyant force equal to its own weight.
Answer:
The pH of the mixture is 0.7926
Explanation:
Hi there!
The acetylsalicylic acid was completely neutralized by the sodium hydroxide so that the only protons present in the solution come from the HCl. The volume of the solution can be calculated as the addition of the volume of sodium hydroxide and the volume of HCl (assuming that the mixture is an ideal solution).
The number of moles of HCl added can be calculated as follows:
13.46 ml (0.4472 mol/1000 ml) = 6.019 × 10⁻³ mol
The volume of the solution is 13.46 ml + 23.88 ml = 37.34 ml
Then, we can calculate the concetration of protons in the solution:
[H] = 6.019 × 10⁻³ mol /0.03734 l = 0.1612 M
The pH of the mixture:
pH = -log[H]
pH = -log[0.1612] = 0.7926
Answer:
v = 1.08 m/s
Explanation:
What is the linear speed of the 0.0500-kg sphere as its passes through its lowest point?
The decrease in PE is
d = 80.0cm * 1 / 1000m = 0.80m
h = 0.80 m /2 = 0.40 m
ΔPE = m*g*h
ΔPE = (0.0500 - 0.0200)kg * 9.8m/s² * 0.400 m
ΔPE = 0.1176 J
The moment of inertia of the assembly is
I = 1/12*m*L² + (m1 + m2)*(L/2)²
I = 1/12*0.390kg*(0.800m)² + 0.0700kg*(0.400m)²
I = 0.032 kg·m²
KE = ½Iω²
0.1176 J = ½ * 0.032kg·m² * ω²
ω = 2.71 rad/s
v = ωr = 2.71 rad/s * 0.400m
The linear velocity
v = 1.08 m/s
Answer:
The speed of the cyclist is 2.75 km/min.
Explanation:
Given
To determine
We need to find the speed of a cyclist.
In order to determine the speed of a cyclist, all we need to do is to divide the distance covered by a cyclist by the time taken to cover the distance.
Using the formula involving speed, time, and distance
where
substitute d = 88, and t = 32 in the formula
Cancel the common factor 8
km/min
Therefore, the speed of the cyclist is 2.75 km/min.
Answer:
Explanation:
The velocity of a wave in a string is equal to:
v = √(T / (m/L))
where T is the tension and m/L is the mass per length.
To find the mass per length, we need to find the cross-sectional area of the thread.
A = πr² = π/4 d²
A = π (3.0×10⁻⁶ m)²
A = 2.83×10⁻¹¹ m²
So the mass per length is:
m/L = ρA
m/L = (1300 kg/m³) (2.83×10⁻¹¹ m²)
m/L = 3.68×10⁻⁸ kg/m
So the wave velocity is:
v = √(T / (m/L))
v = √(7.0×10⁻³ N / (3.68×10⁻⁸ kg/m))
v ≈ 440 m/s
The speed of sound in air at sea level is around 340 m/s. So the spider will feel the vibration in the thread before it hears the sound.
