These are my last 2 questions i need help on....
1. to determine the density of an irregularly shaped object, a student immersed the object in 21.2 ml of water in a graduated cylinder, causing the level of the water to rise to 27.8 ml. If the object had a mass of 22.4 g, what was the density of the object?
(remember 1 ml = 1 cm cubed)
2. Carbon fibre bicycles have essentially replaced the aluminum and aluminum alloy bikes in the Tour de France. Carbon fibre has a density of 6.24g/cm cubed. Aluminum has a density of 2.70g/cm cubed. what property of carbon fibre is the most likely reason for the switch? explain your reasoning.
someone help me.... thank you
Volume = (27.8 -21.2) cm^3
mass = 22.4 g
density = 22.4/(27.8-21.2) g/cm^3
High tensile strength so it can be made lighter for the same strength despite being more dense.
THANK YOU SO MUCH :):):):):)
1. To determine the density of the irregularly shaped object, we can use the formula:
Density = Mass / Volume
First, we need to find the volume of the object. The difference in water levels before and after immersing the object in the graduated cylinder gives us the volume of the object. This is calculated by subtracting the initial water level (21.2 ml) from the final water level (27.8 ml):
Volume = Final Water Level - Initial Water Level
Volume = 27.8 ml - 21.2 ml
Volume = 6.6 ml
Since 1 ml is equal to 1 cm³, the volume of the object is also equal to 6.6 cm³.
Now we can calculate the density of the object using the given mass (22.4 g) and the volume (6.6 cm³):
Density = Mass / Volume
Density = 22.4 g / 6.6 cm³
Density ≈ 3.39 g/cm³
Therefore, the density of the irregularly shaped object is approximately 3.39 g/cm³.
2. The property of carbon fiber that is most likely the reason for its replacement of aluminum and aluminum alloy bikes in the Tour de France is its low density.
Density is a measure of how much mass is packed into a given volume. Carbon fiber has a density of 6.24 g/cm³, whereas aluminum has a higher density of 2.70 g/cm³. The lower density of carbon fiber means that for the same volume, it has less mass compared to aluminum.
In the context of bicycle racing, weight plays a crucial role in determining the speed and efficiency of the bike. A lighter bike allows for quicker acceleration, easier maneuverability, and less energy expenditure by the rider. Therefore, carbon fiber, with its lower density, offers the advantage of reducing the overall weight of the bike without compromising its strength and durability.
Hence, the low density of carbon fiber makes it an attractive choice for professional cyclists participating in events like the Tour de France.