A solid block is attached to a spring scale. When the block is suspended in air, the scale reads 25N; when it is completely immersed in water, the scale reads 17N. What is the volume of the block? (Take the density of fresh water as 1002 kg/m3) and the acceleration due to gravity as 9.8 m/s2)

A solid block is attached to a spring scale. When the block is suspended in air, the scale reads 25N; when it is completely immersed in water, the scale reads 17N. What is the volume of the block? (Take the density of fresh water as 1002 kg/m3) and the acceleration due to gravity as 9.8 m/s2)

Related questions

Q: A solid cylinder (radius = 17.0 cm, height = 14.0 cm) has a mass of 10.80 kg. This cylinder is…

A: Given : Mass of solid cylinder (M) = 10.8 kg Radius of solid cylinder (r) = 17 cm = 0.17 m Height of…

Q: As the depth in a fluid increases, the pressure increases due to the larger weight of the column of…

Q: Cork has a density of 240 kg/m³. Glycerin has a density of 1,260 kg/m³. If a cork is floating in a…

Q: A block of wood has a mass of 3.53 kg and a density of 577 kg/m³. It is to be loaded with lead (1.13…

Q: The pressure at the bottom of a cylindrical container with a cross-sectional area of 47.5 cm2 and…

A: Given,The pressure at the bottom of a cylinder, The cross-sectional area, The density of the fluid,…

Q: To verify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and…

Q: A cylinder is fitted with a piston, beneath which is a spring, as in the drawing. The cylinder is…

A: as per our guidelines, we can answer only first question . please resubmit rest question for answer.

Q: A block of wood has a mass of 3.35 kg and a density of 641 kg/m³. It is to be loaded with lead (1.13…

Q: An underwater salvage company wants to use a spherical balloon to float a 1000 kg cannon from an old…

Q: A block is attached to a spring scale. When the block is suspended in air, the scale reads 270 N;…

A: Write the given values with the suitable variables. W=270 NF=150 N Here, W is the reading of the…

Q: A hot-air balloon has a total weight (balloon, ropes, & basket) of 1.96 x104 N. The density of the…

A: Given:Total Weight, bolloon,Force,F=1.96 x104 Ndensity of the hot air ,ρhot=0.85 kg/m3density of the…

Q: A solid block is attached to a spring scale. When the block is suspended in air, the scale reads…

A: Given, weight of the block in air Wa = 21.2 N weight of the block in water Ww = 18.2 N Volume…

Q: A block of wood has a mass of 3.36 kg and a density of 651 kg/m³. It is to be loaded with lead (1.13…

Q: A block of wood has a mass of 3.72 kg and a density of 571 kg/m?. It is to be loaded with lead…

Q: A block of wood has a mass of 3.61 kg and a density of 592 kg/m3. It is to be loaded with lead (1.13…

Q: In the figure, the fresh water behind a reservoir dam has depth D = 15.5 m. A horizontal pipe 5.62…

A: The given data are: D=15.5 mdp=5.62 cm=5.62×10-2 md=5.24 m

Q: A mass m₁ = 70 kg is balanced by a mass m2 = 1200 kg on an oil hydraulic lift. The diameter of the…

A: This is a question from the Hydraulic lift system. We will elaborate more about the problem in the…

Q: A hollow spherical iron shell floats almost completely submerged in water, such that its uppermost…

A: Given: The density of the iron is 7.87 g/cm3. The outer diameter of the shell is 80.0 cm.…

Q: To verify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and…

Question

A solid block is attached to a spring scale. When the block is suspended in air, the scale reads 25N; when it is completely immersed in water, the scale reads 17N. What is the volume of the block? (Take the density of fresh water as 1002 kg/m³) and the acceleration due to gravity as 9.8 m/s2)

Expert Solution

Step 1

The block, attached to the spring scale, expands the spring, and thus by the force acting on the spring due to this expansion the weight of the block can be measured.

When suspended in air, the only force acting on the block is the force of gravity, acting downwards. Due to this force, the weight of the block read in the scale is 25 N

$L e t F_{g} = 25 N F_{g} = m g m i s t h e m a s s o f t h e b l o c k m g = 25 m = \frac{25}{g} m = \frac{25}{9.8} m = 2.551 k g$

This is the mass of the block

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A block of wood has a mass of 3.51 kg and a density of 631 kg/m3. It is to be loaded with lead (1.13 x 104 kg/m³) so that it will float in water with 0.919 of its volume submerged. What mass of lead is needed if the lead is attached to (a) the top of the wood and (b) the bottom of the wood? (a) Number i Units (b) Number i Units
1. (a) Calculate the absolute pressure at the bottom of a fresh water lake at a depth of 27.5 m. Assume the density of the water is 1.0 x 10 kg/m³ and the air above is at a pressure of 101.3 kPa. (b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 35.0 cm?
A U-tube open at both ends is partially filled with water (Figure (a)). Oil (? = 750 kg/m3) is then poured into the right arm and forms a column L = 5.34 cm high (Figure (b)). (a) Determine the difference h in the heights of the two liquid surfaces. (The density of water is 1.00 ✕ 103 kg/m3.) (b) The right arm is then shielded from any air motion while air is blown across the top of the left arm until the surfaces of the two liquids are at the same height (Figure (c)). Determine the speed of the air being blown across the left arm. Assume the density of air is 1.29 kg/m3.
A block of wood has a mass of 3.60 kg and a density of 571 kg/m³. It is to be loaded with lead (1.13 × 104 kg/m³) so that it will float in water with 0.930 of its volume submerged. What mass of lead is needed if the lead is attached to (a) the top of the wood and (b) the bottom of the wood? (a) Number i (b) Number i Units Units
A cylindrical storage tank has a cross sectional area A1=1.5 m². The tank is set up vertically on the ground and filled with V=7.5 m³ of water. There is a valve at the bottom of the tank with an internal cross sectional area of 1.5 cm². What fraction of the total volume will be drained in the first 50 minutes after the valve is opened?
A block of wood has a mass of 3.88 kg and a density of 647 kg/m³. It is to be loaded with lead (1.13 x 104 kg/m³) so that it will float in water with 0.823 of its volume submerged. What mass of lead is needed if the lead is attached to (a) the top of the wood and (b) the bottom of the wood? (a) Number i (b) Number i Units Units
A block of wood has a mass of 3.68 kg and a density of 587 kg/m. It is to be loaded with lead (1.13 x 104 kg/m) so that it will float in water with 0.937 of its volume submerged. What mass of lead is needed if the lead is attached to (a) the top of the wood and (b) the bottom of the wood? (a) Number Units (b) Number Units
To verify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and in water. She finds that the specimen weighs twice as much in air as it does in water. The density of the solid part of the specimen is 2.02 × 103 kg/m3. What fraction of the specimen’s apparent volume is solid?
A partially filled bucket of water sits on a scale and it’s weight is 3.8 N. A piece of metal is suspended from a thread and completely immersed in the bucket ( but does not touch the bottom). The scale now reads 6.8 N. Find the volume of the metal.
U-shaped tube, open to air on both ends, contains oil. Water is poured into the left arm until the water column is 10 cm deep. What is the height of the oil column (in cm) when the system is in equilibrium? The density of oil is 801 kg/m3
A block of wood has a mass of 3.65 kg and a density of 646 kg/m3. It is to be loaded with lead (1.13 x 104 kg/m3) so that it will float in water with 0.865 of its volume submerged. What mass of lead is needed if the lead is attached to (a) the top of the wood and (b) the bottom of the wood? (a) Number i Units (b) Number i Units
An ore sample weighs 15 N in air. When the sample is suspended by a light chord and totally immersed in water, the tension in the cord is 12.22 N. Find the total volume of the sample in m^3 and express it in three significant figures.