Question

In: Physics

A Ping-Pong ball is held submerged in a bucket of water by a stringattached to...

A Ping-Pong ball is held submerged in a bucket of water by a string attached to the bucket's bottom.


Salt is now added to the water in the bucket, increasing the density of the liquid. What happens to the tension in the string ?


The tension does not change.

The tension increases.

The tension decreases.


What happens to the tension in the string if the Ping-Pong ball is replaced by a smaller spherical object of equal weight?


The tension does not change.

The tension increases.

The tension decreases.


Solutions

Expert Solution

Concepts and reason

The concepts required to solve the given question is tension in the string.

Initially, write an expression for the tension in terms of the volume, density of liquid, and the density of solid. Later, compare the tension on basis of the density of matter. Finally, compare the tension on basis of the weight of the spherical ball.

Fundamentals

The expression for the tension in terms of the volume, density of liquid, and the density of solid is as follows:

T=V(ρlρs)T = V\left( {{\rho _{\rm{l}}} - {\rho _{\rm{s}}}} \right)

Here, V is the volume, ρl{\rho _{\rm{l}}} is the density of liquid, and ρs{\rho _{\rm{s}}} is the density of solid.

(A)

The tension in the equation T=V(ρlρs)T = V\left( {{\rho _{\rm{l}}} - {\rho _{\rm{s}}}} \right) is directly proportional to the volume, density of liquid, and the density of solid. Thus, as the density of liquid increases, the tension increases. Thus, the tension in the string neither decrease nor remains same.

Form the equation T=V(ρlρs)T = V\left( {{\rho _{\rm{l}}} - {\rho _{\rm{s}}}} \right) , it is clear that the tension increases with increase in the density of the liquid. After adding salt to water, the density of liquid increases. Hence, the tension in the string also increases.

(B)

The weight of the spherical balls is same but the volume is decreased, Therefore, in the second terms of the equation T=V(ρlρs)T = V\left( {{\rho _{\rm{l}}} - {\rho _{\rm{s}}}} \right) , the density of the solid remains constant, but, the density of the liquid decreases. Therefore, the net tension in the string neither increases not remains same.

The weight of the spherical balls is same but the volume is decreased, Therefore, in the second terms of the equation T=V(ρlρs)T = V\left( {{\rho _{\rm{l}}} - {\rho _{\rm{s}}}} \right) , the density of the solid remains constant, but, the density of the liquid decreases. Therefore, the net tension decreases.

Ans: Part A

The tension in the string increases.

Part B

The net tension in the string decreases.


Related Solutions

Suppose that the balls in a large bucket of colored ping pong balls consist of 40%...
Suppose that the balls in a large bucket of colored ping pong balls consist of 40% red balls, 50% green balls, and 10% yellow balls. Suppose that 5% of the red balls are dented, 2% of the green balls are dented, and 1% of the yellow balls are dented. Assume that all the balls are equally likely to be selected on a random draw from the bucket. A) The probability that a randomly selected ping pong ball is dented =...
A regulation tennis ball has a diameter of 2½ inches; a Ping-Pong ball has a diameter...
A regulation tennis ball has a diameter of 2½ inches; a Ping-Pong ball has a diameter of 1½ inches. a. Find and compare the volumes of the two types of balls. b. Find and compare the surface areas of the two types of balls. Please show steps
Find the electric fields inside and outside of the billard ball and positive q charged ping-pong...
Find the electric fields inside and outside of the billard ball and positive q charged ping-pong ball with r radius using Gauss's law.
An average ping pong ball has a radius of r=0.019m and an average density of p=84kg/m3....
An average ping pong ball has a radius of r=0.019m and an average density of p=84kg/m3. The density of air is p=1.225kg/m3. a) what is the magnitude and direction in unit vector notation of the force required to hold it completely submerged in water? b) while still completely submerged , what is the difference in pressure between the top and bottom of the ball? C) if released, the ball will eventually find itself floating on the surface. What percent of...
A wooden ball is held under water with a string. The weight of the ball is...
A wooden ball is held under water with a string. The weight of the ball is 400N and its density is 500kg/m^3. Find the tension force of the string on the ball (density of water is 1000 kg/m^3)
The market for ping pong balls is initially in equilibrium at a price of $10.00 and...
The market for ping pong balls is initially in equilibrium at a price of $10.00 and quantity of 115. Then supply increases from S1 to S2 and a new equilibrium is established at a price of $8.00 and quantity of 150. The change in revenue attributable to the “price effect” is Group of answer choices A.An increase of $280 B.A decrease of $280 C.A decrease of $230 D.An increase of $230
The diameter of a brand of​ ping-pong balls is approximately normally​ distributed, with a mean of...
The diameter of a brand of​ ping-pong balls is approximately normally​ distributed, with a mean of 1.31 inches and a standard deviation of 0.04 inch. A random sample of 16 ​ping-pong balls is selected. Complete parts​ (a) through​ (d). What is the probability that the sample is between 1.28 and 1.3 ​inches?
A flask of water rests on a scale that reads100 . Then, a small block of unknown material is held completely submerged...
A flask of water rests on a scale that reads100 . Then, a small block of unknown material is held completely submerged in the water. The block does not touch any part of the flask, and the person holding the block will not tell you whether the block is being pulled up (keeping it from falling further) or pushed down (keeping it from bobbing back up).The experiment is repeated with the six different blocks listed below. In each case, the...
Write a MATLAB script or function that returns the required initial velocity of the ping pong...
Write a MATLAB script or function that returns the required initial velocity of the ping pong ball required to launch it a specified distance. Use projectile motion equations. Keep in mind that the initial firing height will change depending on the proposed catapult design. Primary considerations in the catapult design are accuracy and repeatability as groups will be tasked with hitting the target (cup) repeatedly at distances ranging from 7 to 9 ft. (cup moved in 6 in. increments).
Suppose Ari loses 31 ​% of all ping dash pong games . ​(a) What is the...
Suppose Ari loses 31 ​% of all ping dash pong games . ​(a) What is the probability that Ari loses two ping dash pong games in a​ row? ​(b) What is the probability that Ari loses six ping dash pong games in a​ row? ​(c) When events are​ independent, their complements are independent as well. Use this result to determine the probability that Ari loses six ping dash pong games in a​ row, but does not lose seven in a...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT