A toy submarine of mass m = 0.830 kg moves around a submerged circular track of radius R = 1.97 m. The submarine's engine provides a constant propulsion force of F = 4.93 N. When the sub is in motion, it is subject to a viscous drag force exerted by the water. This force is proportional to the sub's speed; the proportionality factor is C = 1.26 kg/s. Assuming it starts from rest at t = O s, the speed v (t) of the submarine at a later time t is given by F v() = (1 - e-Cilm) where e is the base of the natural logarithm. How much time has passed when the submarine's speed reaches 59% of its terminal value? What is the magnitude of the submarine's acceleration a at this time?

A toy submarine of mass m = 0.830 kg moves around a submerged circular track of radius R = 1.97 m. The submarine's engine provides a constant propulsion force of F = 4.93 N. When the sub is in motion, it is subject to a viscous drag force exerted by the water. This force is proportional to the sub's speed; the proportionality factor is C = 1.26 kg/s. Assuming it starts from rest at t = O s, the speed v (t) of the submarine at a later time t is given by F v() = (1 - e-Cilm) where e is the base of the natural logarithm. How much time has passed when the submarine's speed reaches 59% of its terminal value? What is the magnitude of the submarine's acceleration a at this time?

Name: A toy submarine of mass m = 0.830 kg moves around asubmerged circular
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: A toy submarine of mass m = 0.830 kg moves around asubmerged circular track of radius R = 1.97 m. Thesubmarine's engine provides a constant propulsion force ofF = 4.93 N. When the sub is in motion, it is subject to aviscous drag force exerted by the

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 49P: A space station, in the form of a wheel 120 m in diameter, rotates to provide an artificial gravity...

See similar textbooks

Similar questions

If a bubble in sparkling water accelerates upward at the rate of 0.225 m/s2 and has a radius of 0.500 mm, what is its mass? Assume that the drag force on the bubble is negligible.
An engineer wants to design a circular racetrack of radius r such that cars of mass m can go around the track at speed V without the aid of friction or other forces other than the perpendicular contact force from the track surface. Find an expression for the required banking angle θ of the track, measured from the horizontal. Express the answer in terms of m, r, V, and g. Suppose the race cars actually round the track at a speed w>V. What additional radial force Fr is required to keep the cars on the track at this speed? Express the answer in terms of m, r, V, w, and g.
A model airplane of mass 0.3 kg is attachedto a horizontal string and flies in a horizontalcircle of radius 5.9 m, making 1.6 revolutionsevery 4 s. (The weight of the plane is balancedby the upward “lift” force of the air on thewings of the plane.)The accelaration due to the gravity is 9.81m/s2 Find the tension in the string.Answer in units of N.
A race car travels 76 m/s around a circulartrack of radius 159 m What is the magnitude of the resultantforce on the 1600 kg driver and his car ifthe car does not slip?Answer in units of kN.
A Wall of Death is a carnival show featuring a motorcyclist rides along the vertical wall of the cylinder and performs various stunts while doing so. Given that the radius of the cylinder is 7 m and the static coefficient of friction is 0.8, what is the minimum speed in m/s2 that the motorcyclist must do to prevent the motorcycle to slip from the wall?
In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle θ = 28.4°. The slab has length L = 32.4 m, thickness T = 5.92 m, and width W = 14.3 m, and 1.0 cm3 of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.385. (a) Calculate the component of the gravitational force on the slab parallel to the bedrock surface. (b) Calculate the magnitude of the static frictional force on the slab. By comparing (a) and (b), you can see that the slab is in danger of sliding. This is prevented only by chance protrusions of bedrock. (c) To stabilize the slab, bolts are to be driven perpendicular to the bedrock surface (two bolts are shown). If each bolt has a cross-sectional area of 6.05 cm2 and will snap under a shearing stress of 3.34 × 108 N/m2, what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force.
Is it safe to drive your 1600-kg car at speed 27 m/s around a level highway curve of radius 150 m if the effective coefficient of static friction between the car and the road is 0.40?
A spherical raindrop of mass 0.0128 g and radius 1.45 mm falls from a cloud that is at a height of 1139 m above the ground. Assume the drag coefficient for the raindrop is 0.60 and the density of the air is 1.3 kg/m3. What is the raindrop's terminal speed? And what would the raindrop's speed just before landing on the ground if therewere no drag force (no air resistance)?
A roller-coaster car of mass 309 kg (including passengers) travels around a horizontal curve of radius 35.2 m. Its speed is 21.3 m/s. a. What is the magnitude of the total force exerted on the car by the track? answer in N b. What is the direction of the total force exerted on the car by the track? Enter a positive angle if the direction is above horizontal and a negative answer if the direction is below horizontal. answer in degrees c. If the track is frictionless, then what banking angle would ensure that the car does not slide off of the track? (The banking angle is the angle between the direction normal to the track and the vertical.) answer in degrees
What is the smallest radius of an unbanked (flat) track around which a bicyclist can travel if her speed is 29 km/h and the ms between tires and track is 0.32?
The curved section of a horizontal highway is a circular unbanked arc of radius 520 m. If the coefficient of static friction between this roadway and typical tires is 0.30, what would be the maximum safe driving speed for this horizontal curved section of highway?
Consider a speherical speck of dust of mas 1.5*10^-11 kg and radius 2.1*10^-6m with drag coefficient CD= 0.5 falling in air with density P(air) = 1.2kg/m^3. What is the terminal velocity of the dust? Area= pie*r^2