A car travels on a circular road with radius R and banking angle θ chosen so that at the speed v the friction force vanishes (the optimal banking). What is the friction force acting on the car of mass m on this road at rest? Investigate the cases of small and large v

Q: A small block of mass ?m is placed halfway up on the inside of a frictionless, circular loop of…

A: Given that:- Mass of block=m  Radius of circular loop=r

Q: The car has speed v at the angle 0 shown. What is the normal force acting on the car at this point?

A: We know that: The mass of the car is M The speed is v The inclined angle is θ The radius of…

Q: A car travels on a circular road with radius R and banking angle   chosen so that at the speed v…

A:

Q: A roller-coaster car has a mass of 1050 kg when fully loaded with passengers. As the car passes over…

A: The roller coaster is moving in a uniform circular motion.

Q: At an ice show, a skater S launches herself with speed v while tethered to a fixed point by a rope…

A: Angular momentum (L) is rotational equivalent of linear momentum (p).

Q: A Ford Mustang is mass 3000kg passes over a bump in a road that follows the arc of a circle of…

A:

Q: Ford Motor company is designing a Centrifugal Governor for cruise control system, It controls the…

A: As per the data given, Diameter of steel Flyball=50 mmDensity of steel Flyballs=8000 kg.m-3 So mass…

Q: .. A small rock with mass m is attached to a light string of length L and whirled in a vertical…

A: Mass of rock = mLength of string = L

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: a. Consider a man running through the equator, with what velocity (direction and magnitude) should…

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Q: What is the maximum speed at which a motor can round curve of 50 m radius on a leveled road if the…

A: The radius of the curve is, r=50 m   The coefficient of the friction is, μ=0.5   The acceleration…

Q: Disturbed by speeding cars outside his workplace, Nobel laureate Arthur Holly Compton designed a…

A: Use the free body diagram to solve for force that road exert on the car.  It's direction is upwards.…

Q: A roller-coaster car has a mass of 1110kg when fully loaded with passengers. As the car passes over…

A: The free-body diagram of the roller-coaster when it is on the top of the hill is:

Q: At an ice show, a skater S launches herself with speed v while tethered to a fixed point by a rope…

A: Given: Speed of the skater = v. Tethered to a fixed point by a rope under tension.   To Prove: Speed…

Q: A car travels on a circular road with radius R and banking angle (theta) chosen so that at the speed…

A:

Q: If a car takes a banked curve at less than a given speed, friction is needed to keep it from sliding…

A: Given: The angle of banking is 13o. The radius of the curvature is 108 m.

Q: For a car traveling at speed Vo, it is possible to bank a curve at just the right angle β so that…

A: Let the mass of car be m, The normal force acting on the car is NThe speed of the car is V0The…

Q: In an adventure park ride, people are strapped in a small cage that is whirled in a vertical circle…

A:

Q: A jet dives vertically at a speed v=186 m/s, before pulling out the dive along a circular arc. The…

A: speed of jet (v) = 186 msacceleration (a)= 7.2 g = 7.2×9.8 ms2= 70.56 ms2Mass (m) = 92 kg

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 stone of massm is attached to a string and is rotated in .a vertical circle of radius r at bottom…

A: Given Data : The radius of rotation of the stone is given as r

Q: A 1335 kg sports car rounds a flat curve of radius 40 m. Given that the coefficient of static…

A: Given, Mass, m=1335 kg, radius, r= 40 m, and coefficient of static friction,μ=0.5.

Q: A 3,000-kg truck leaves a freeway on a circular exit of radius 50 m at a speed of 15 m/s. What…

A: Given values:- Mass of a truck (m) = 3000 kg  Radius (r) = 50 m  Speed (V) = 15 m/s  Centripetal…

Q: Before After A student is shopping for study snacks at a local grocery store. Somebody broke a very…

A: Given:- Mass of the student is ms=49.7 kg Mass of the clerk is mc=61.5 kg Initial speed of the…

Q: As shown in the figure below, a smal1 ball (can be considered as a particle) with mass m moves in a…

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Q: Plz do.it Correctly

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Q: If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from…

A: (a) The ideal speed be calculated as, tanθ=v2rgv=rgtanθ=140 m9.8 m.s-2tan18°=445.79≃21.11…

Q: A small car passes over a hill ( ) with the shape (JSA le) of a circle whose radius is 30 m. The…

A:

Q: Engineering a highway curve. If a car goes through a curve too fast, the car tends to slide out of…

A:

Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”