Question

In: Physics

A rock is suspended by a light string. When the rock is in air, the tension...

A rock is suspended by a light string. When the rock is in air, the tension in the string is 52.9 N . When the rock is totally immersed in water, the tension is 32.6 N . When the rock is totally immersed in an unknown liquid, the tension is 14.4 N .

What is the density of the unknown liquid?

Solutions

Expert Solution

Gravitational acceleration = g = 9.81 m/s2

Density of water = 1 = 1000 kg/m3

Density of the unknown liquid = 2

Weight of the rock = Tension in the string when the rock is air = W = 52.9 N

Volume of the rock = V

Buoyant force on the rock when immersed in water = F1 = 1Vg

Tension in the string when the rock is immersed in water = T1 = 32.6 N

When the rock is immersed in water the tension in the string and the buoyant force on it supports the weight of the rock.

W = F1 + T1

W = 1Vg + T1

52.9 = (1000)(9.81)V + 32.6

V = 2.0693 x 10-3 m3

Buoyant force on the rock when it is immersed in the unknown liquid = F2 = 2Vg

Tension in the string when the rock is immersed in unknown liquid = T2 = 14.4 N

When the rock is immersed in the unknown liquid the tension in the string and the buoyant force on it supports the weight of the rock.

W = F2 + T2

W = 2Vg + T2

52.9 = 2(2.0693x10-3)(9.81) + 14.4

2 = 1896.56 kg/m3

Density of the unknown liquid = 1896.56 kg/m3

genius_generous answered 8 months ago
Next > < Previous

Related Solutions

A rock is suspended by a light string. When the rock is in air, the tension...
A rock is suspended by a light string. When the rock is in air, the tension in the string is 39.2 N. When the rock is totally immersed in water, the tension is 28.4 N. When the rock is totally immersed in an unknown liquid, the tension is 18.6 N. What is the Density of the unknown liquid. -When I looked at this problem, I though we needed to know the volume of the rock. Can someone show me how...
A rock is suspended by a light string. When the rock is in air, the tension in the string is 39.2 N.
A rock is suspended by a light string. When the rock is in air, the tension in the string is 39.2 N. When the rock is totally immersed in water, the tension is 28.4 N. When the rock is totally immersed in an unknown liquid, the tension is 18.6 N. What is the Density of the unknown liquid. 
A large crate is suspended by a light string. A bullet is fired horizontally into the...
A large crate is suspended by a light string. A bullet is fired horizontally into the crate and becomes firmly lodged inside it. After being struck by the bullet, the crate swings upward to a maximm height and then swings back up. Just before the collision (time t1), the crate is at rest and the bullet moves horizontally with speed v0. Immediately after the bullet becomes lodged inside the crate (time t2) the bullet and crate move together with speed...
A 8.9 kg rock whose density is 4500 kg/m3 is suspended by a string such that...
A 8.9 kg rock whose density is 4500 kg/m3 is suspended by a string such that half of the rock's volume is under water. What is the tension in the string?
A thin film suspended in air is 0.400 µm thick and is illuminated with white light...
A thin film suspended in air is 0.400 µm thick and is illuminated with white light incident perpendicularly on its surface. The index of refraction of the film is 1.58. At what wavelength will visible light that is reflected from the two surfaces of the film undergo fully constructive interference?
An ore sample weighs 17.50 N in air. when the sample is suspended
An ore sample weighs 17.50 N in air. when the sample is suspended by a light cord and totally immersed in water the tension in the cord is 11.20 N. Find the total volume and density of the sample.  
The critical angle for an air-glass interface is 25.3°. When a light ray in air is...
The critical angle for an air-glass interface is 25.3°. When a light ray in air is incident on the interface, the reflected ray is 100% polarized. What is the angle of refraction of that ray?
Tension is maintained in a string as in the figure below. The observed wave speed is...
Tension is maintained in a string as in the figure below. The observed wave speed is v = 23.5 m/s when the suspended mass is m = 3.00 kg.  What is the mass per unit length of the string?  kg/m  What is the wave speed when the suspended mass is m = 2.15 kg?  m/s
Analyze the motion of a circular pendulum and calculate the length and tension in the string....
Analyze the motion of a circular pendulum and calculate the length and tension in the string. Assume the mass of the pendulum bob is 0.5 kg. the period of the pendulum is 1.19 s. and the radius of the circle is 20 cm, determine the approximate radius of the circle the pendulum sweeps out. Perform a force analysis on the pendulum bob. What is the tension in the string?
A thin plate is suspended in air at 1 atm. with T_infinite= 15°C. Air flows on...
A thin plate is suspended in air at 1 atm. with T_infinite= 15°C. Air flows on both sides of the plate where the bottom side absorbs a uniform radiative heat flux of 1542 W/m2. The plate is oriented parallel to the flow and the length along the flow direction is 60 cm. Consider the plate is negligibly thin and the width of the plate (perpendicular to the flow) is large, so that the problem can be considered as a 2D...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT