A pail of water is rotated in a vertical circle of radius1.00 m. (a) What two external forces act on the water in thepail? (b) Which of the two forces is most important in causingthe water to move in a circle? (c) What is the pail’s minimumspeed at the top of the circle if no water is to spill out? (d) Ifthe pail with the speed found in part (c) were to suddenly disappearat the top of the circle, describe the subsequent motionof the water. Would it differ from the motion of a projectile?

Q: What is the ideal banking angle for a gentle turn of 1.20 km radius on a highway with a 105 km/h…

A: Given data,               Radius, R=1.20 km=1.2 ×103 m or 1200 m               Speed, v =105km/h…

Q: A 0.100 kg rock is attached to a 2.00 m long string and swung in a horizontal circle at a speed of…

A: Given:                    M= 0.100 kg                    l  = 2m                    v = 30 m/s…

Q: Calculate the velocity a spherical rain drop would achieve falling from 5.00 km (a) in the absence…

A:

Q: 500 g object is tied to the end of a cord and whirled in a horizontal circle of radius 3.2 m at 5…

A:

Q: A highway curve has 200-ft radius and is designed to accommodate vehicles at a maximum speed of…

A: Let F denote the centripetal force, vmax denote the maximum velocity, m denote the mass of the…

Q: The print in large print books averages 7.00 mm in height. How high is the image of the print on the…

A:

Q: The maximum static coefficient of friction between the tires of a 2000 kg car and the road is µs,max…

A: Given data The car's mass is: m = 2000 kg The friction coefficient is: μs,max=0.25 The rotation's…

Q: An object of mass 0.5 kg is whirled in a horizontal circle of radius 20 cm. Calculate the maximum…

A: Given data, Mass m = 0.5 kg. Radius of circle r=20 cm = 0.2 m. Breaking tension of string F = 9.86 N

Q: A body of mass 1 kg is tied to a string and revolved in horizontal circle of radius 1 m. Calculate…

A:

Q: Compare the magnitude of the terminal velocity during centrifugation using swing-out(horizontal),…

A: In this question we have to compare the magnitude of the terminal velocity during centrifugation…

Q: A motor cyclist at a speed of 5 m/s is describing a circle of radius 25 m. Find his inclination with…

A: To find-(1) Angle of inclination (θ)(2) Coefficient of friction (μ)=?Given data-Linear speed (V)=5…

Q: A pilot with a mass of 50 kg comes out of a vertical dive in a circular arc such that at the bottom…

A: N=Normal forcem=Mass of pilot=50 kga=Acceleration of the plane=3.5gg=Acceleration due to gravity

Q: calculate the velocity a spherical rain drop would achieve falling (taking downward as positive)…

A:

Q: A motorcycle is being driven around a circular vertical wall 115 ft in diameter. What is the lowest…

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Q: A dime of mass 2.3 g is whirled around in a circle of radius 30 cm with a constant speed of 3.0 m/s.…

A: Draw the free-body diagram of the system.

Q: The Earth pulls on the Moon, and the Moon pulls on the Earth. However, the Earth is pulled more and…

A: Given: Distance between Earth and moon =a Radius of Earth =r a= 64 r

Q: An object of mass 0.5 kg is whirled in a horizontal circle of radius 20 cm. Calculate the maximum…

A: Solution:-Given thatBreaking tension of the string (T)=9.86 Nmass of object (m)=0.5 kgRadius of…

Q: A 0.9 m long string with a 0.5 kg stone is whirled in a vertical circle at a uniform velocity of 4…

A: Given that:Mass, m=0.5kgRadius,r=0.9mVelocity,v=4m/sNow,Tension in the string =centrifugal force…

Q: The mass of the Earth is about 81 times that of the Moon. If the radius of the Earth is four times…

A: Mass of Earth , ME = 81 x MM  Radius of Earth , RE = 4 x RM  To find = Acceleration due to gravity…

Q: An airplane flies at 120.0 m/s and banks at a 30°angle. If its mass is 2.50 × 10³ kg. (a) what is…

A: We have to find the magnitude of the lift force and radius of the turn.

Q: A 5 kg mass is attached to a massless string and is being rotated in a vertical circle. The length…

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Q: Suppose you wish to whirl a pail full of water in a vertical circle at a constant speed without…

A: Given that :r=0.65m+0.17cmg=9.81 m/s2

Q: A body of mass 2 kg is tied to the end of a string 2 m long and revolved in a horizontal circle. If…

A: To find-Maximum velocity of the body (V)=?Given data-m=2 kg,r=2 mT=400 N

Q: A small package rest on the horizontal dashboard of a car. If us= 0.332, what the minimum…

A: Coefficient of friction, μs = 0.332Minimum acceleration, a = ?

Q: The circumference of a track is 1.256 km. Find the angle of banking of the track, if the maximum…

A: We need to compute-Angle of banking (θ)=?The data given as-Circumference of a track (C)=2πr=1.256…

Q: What is the smallest radius of an unbanked (flat) track around which a bicyclist can travel if her…

A:

Q: A motor cyclist at a speed of 5 m/s is describing a circle of radius 25 m. find his inclination with…

A:

Q: A certain string breaks under a tension of 45 kg wt. A mass of 100 gm is attached to this string of…

A: To find-n=?Given-T=45 kg wtT=45×9.8 Nr=500 cm=5 mm=100 gm=100×10-3 kg=0.1 kg

Q: A locomotion of mass 105 kg rounds a curve of radius in the path y-3t², when t=3sec of velocity…

A:

Q: A car will make a turn compensated, radius 65 meters. Determine the angle minimum slope of this…

A: The expression for velocity is,…

Q: he mass of a sports car is 1400 kg. The shape of the car is such that the aerodynamic drag…

A: Mass, m = 1400 kgDrag, D = 0.260Area, A = 2.30 m²Velocity, v = 115 km/h = 31.9444 m/s Density, ρ =…

Q: Ex. 41 : A body of mass 1 kg is tied to a string and revolved in horizontal circle of radius 1 m.…

A: To find- Maximum number of revolutions per minute (n)=? Given- Mass (m)=1 kg Radius (r)=1 m Breaking…

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.