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stiv31
18 days ago
14

A mover pushes a 255 kg piano

Physics
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Calculate the buoyant force in air on a kilogram of titanium (whose density is about 4.5 grams per cubic centimeter). compare wi
ValentinkaMS [3465]
1) The buoyant force acting on an object submerged in a fluid can be described as:
B=d_f V_d g
where d_f indicates the fluid's density, V_d represents the volume of the fluid displaced, and g=9.81~m/s^2 signifies the gravitational acceleration.

2) To determine the volume of the displaced fluid, we note that the titanium object is entirely submerged in the fluid (air), thus this volume matches the volume of 1 Kg of titanium, which has a density of d=4.5~g/cm^3 = 4.5\cdot10^3~Kg/m^3. Using the correlation between density, volume, and mass, we derive
V_d= \frac{m}{d}= \frac{1~Kg}{4.5\cdot10^3Kg/m^3}=2.22\cdot10^{-4}~m^3

3) We can now revisit the equation in step 1) to compute the buoyant force. Given that the air density is d_f = 1~Kg/m^3, this provides us with
B=d_f V_d g=1~Kg/m^3 \cdot 2.22\cdot10^{-4}~m^3 \cdot 9.81~m/s^2=2.22\cdot10^{-3}~N

4) The weight of 1 Kg of titanium is:
W=mg=1~Kg \cdot 9.81~m/s^2=9.81~N
Therefore, the buoyant force is negligible when compared to the weight.
7 0
4 months ago
A rocket lifts off the pad at cape canaveral. according to newton's law of gravitation, the force of gravity on the rocket is gi
kicyunya [3294]
The formula used is known as the Law of Universal Gravitation. The gravitational constant G is 6.67×10⁻¹¹ Nm²/kg². The Earth's mass is <span>5.972 ×10</span>²⁴ kg. The mass of the rocket is negligible in comparison to Earth’s mass, hence it is unnecessary for our calculations. Plugging in the values:

F = (6.67×10⁻¹¹ Nm²/kg²)(5.972 ×10²⁴ kg)/(4000 miles*(1.609 km/1 mile))²
F = 9616423.08 N

The work done is given by
W = Fd
W = (9616423.08 N)(2000 miles*1.609 km/mile)
W = 9.095×10¹⁰ Joules
8 0
3 months ago
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