Bowling balls are roughly the same size but come in a variety of weights. Given that the official radius a bowling ball should have is roughly 0.110 m, calculate the weight of the heaviest bowling ball that will float in a fluid of density 1.000 × 10° kg/m³. weight: N

Problem 1: A large weather balloon has a volume of 2000 m3 and a total weight of 800 N is filled with gas. The basket attached to the balloon has a weight of 1200 N and inside the basket there is a total mass M. The balloon starts from rest an ascends a total distance of 25 meters in 5 seconds. If the density of air is 1.20 kg/m3 and the average density of gas is 0.179 kg/m3, what is the value of the mass M in kg. Hint: the system has an acceleration Show a coordinate system and a free body diagram.

A bucket is filled with a combination of water (density 1000 kg/m3) and oil (density 700 kg/m3). These fluids do not mix (the oil will float on top of the water). If the layer of oil is 43 cm tall, what is the pressure at the interface between the oil and the water?

Need Help: It is known that a cubical object made of cast aluminum 0.213 m on a side contains a hollow cavity also in the shape of a cube but of unknown dimensions. If the mass of the object is 22.8 kg, determine the length of each side of the interior cubical cavity. The density of aluminum is 2.70  103 kg/m3. Given Tip: How is the volume of the cubical object related to the volume of aluminum in the object and the volume of the cubical cavity? How is the mass of the cubical object related to the mass of aluminum in the object? Recall how the volume of a cube is related to the length of each side of the cube.