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: 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 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: You are rounding a curve on the road. The speed limit is 50mi/hr and the radius of curvature of the…

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

Q: Bucket containing water is whirled A vertical circle at arms length. Find the minimum speed at top…

A: We have to find here-Minimum velocity at top (Vh)=?Angular speed (ω)=?Given that-Radius (r)=0.75…

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

A:

Q: A bucket which has a mass of 910 g when empty and contains 3 litres of water is swung round in a…

A: Given: Mass of the bucket when empty is  m=910 gm=0.910 kg  Amount of water in the bucket =3 litres…

Q: An athlete whirls a 6.41 kg hammer tied to the end of a 1.3 m chain in a simple horizontal circle…

A: Mass of the hammer 6.41 kg  Length of the chain 1.3m  The Angular velocity 1.64 rev/s

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: 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: 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: An aluminum can is half-filled with water and whirled about in a horizontal circle on the end of a…

A: Given data: Length (L) = 1.00 m Mass (m) = 0.115 kg Speed (v) = 10.0 m/s Required: The tension in…

Q: a horizontal string whirls a 1 kg can in a circle of radius 2 m with the speed of 2 m/s. calculate…

A:

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: 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: A car is driving around a banked curve, with the road surface at an angle of 10.0º. If the radius of…

A:

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

A:

Q: A small box is spun in a horizontal circle on a sheet of ice by a light string. You measure that at…

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 55.2 kg ice skater is moving at 4.07 m/s when she grabs the loose end of a rope, the opposite end…

A: Given: Mass of the ice skater = 55.2 Kg Velocity = 4.07 m/s Radius of the circular loop = 0.805 m…

Q: Of the graphs below, which accurately shows the relationship of terminal speed of a sedimenting…

A: When an object falls through a fluid, it attains a constant velocity through its subsequent motion.…

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.