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Physics / College Physics 1 / Chapter 8 / Problem 61

College Physics | 1st Edition | ISBN: 9781938168000 | Authors: Paul Peter Urone, Roger Hinrichs

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Professional Application(a) A 5.00-kg squid initially at

Chapter 8, Problem 61

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QUESTION:

Problem 61PE

Professional Application

(a) A 5.00-kg squid initially at rest ejects 0.250-kg of fluid with a velocity of 10.0 m/s. What is the recoil velocity of the squid if the ejection is done in 0.100 s and there is a 5.00-N frictional force opposing the squid’s movement. (b) How much energy is lost to work done against friction?

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QUESTION:

Problem 61PE

Professional Application

(a) A 5.00-kg squid initially at rest ejects 0.250-kg of fluid with a velocity of 10.0 m/s. What is the recoil velocity of the squid if the ejection is done in 0.100 s and there is a 5.00-N frictional force opposing the squid’s movement. (b) How much energy is lost to work done against friction?

ANSWER:

Solution 61PE

Step 1 of 7

Squid of mass ${m}_{s}=5\ kg$ is initially at rest, ejects a fluid with mass ${m}_{f}=0.250\ kg$ with the velocity of ${v}_{f}=10\ m/s$ . Here we need to calculate the recoiling velocity of the squid ${v}_{s}=?$ if the ejection is done for the time interval of $\Delta{}t=0.1\ s$ including the frictional force $f=5\ N$ that opposes the movement of squid. Also, we need to calculate the energy lost to work against the friction.

Given data,

Mass of squid, ${m}_{s}=5\ kg$

Mass of fluid, ${m}_{f}=0.250\ kg$

Initial velocity of squid and fluid, ${v}_{i}=0$ (both are at rest)

Fluid is ejected with velocity, ${v}_{f}=10\ m/s$

Friction force, $f=5\ N$

Time interval , $\Delta{}t=0.1\ s$

To find,

Recoiling velocity of the squid ${v}_{s}^{1}=?$
Energy lost to work against the friction, $\Delta{}KE=?$

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