A car travels on a circular road with radius R and banking angle 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? Look into the  cases of small and large v.

Q: Find the mass (in kg) of Neptune from the orbital parameters of its moon, Proteus. The radius of…

A:

Q: You go through a loop in a roller coaster at constant speed. Your acceleration is:

A: Since it is moving in a loop that means its direction is changing constantly  Then, velocity is…

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

A:

Q: The system will be at rest when the force of gravity pulling on  down the plane combined with the…

A: Given information: The masses: m1=6kg,  m2=8kg The angle of inclination (θ) = 30°

Q: Swinging Mass: A student is swinging a ball of mass 0.358 kg in a vertical circle at constant speed,…

A: Using the tension on the string at the top and bottom points, we will solve the given question.

Q: Inertial / Non- Inertial Situation Reference Frame 1. The object at rest and in motion remains…

A: To determine whether the given situations are having inertial or non-inertial frame of reference

Q: А А d, B d2

A:

Q: 3. A point mass m starts from rest at the top of a frictionless hemisphere of radius R. Find the…

A: A body performing uniform circular motion experiences a radial component of acceleration known as…

Q: A car travels on a circular road with radius R and banking angle 0 chosen so that at the speed v the…

A: This question is based on Laws of Motion topic. When the car moves on a banked road, a component of…

Q: A race-car of mass m negotiates a right hand 90° turn at constant speed v on a banked road that…

A: Introduction of Banking of road with frictional force:

Q: 1. Calculate the velocity a spherical rain drop would achieve falling from 5.00 km: (a) in the…

A:

Q: You are pushing a box of mass m up a rough ramp of incline angleθ (see figure). Your applied…

A:

Q: A 550 g ball swings in a vertical circle at the end of a 1.5 m long string at a constant speed.…

A: Draw the following diagram to represent motion of the object in a vertical circle. Here mg is the…

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE AND DETAILED SOLUTIONS. WRIT YOUR ANSWER ON A…

A:

Q: A dog sits 50 meters from the center of a merry-go-round with a 1.80 meters per second. If the…

A:

Q: The 3-kg block B and 19-kg cylinder A are connected to a light cord that passes through a hole in…

A: The mass of the block B is m=3 kg The mass of the cylinder A is M=19 kg The radius of the table,…

Q: Two astronauts, of masses 60 kg and 80 kg, are initially right next to each other and at rest in…

A:

Q: A force of P = 50 N is applied to the 200-kg handcart. Determine the reactions at both the wheels at…

A: Draw the free body diagram of the system. Let the reaction force at both wheels A be RA and the…

Q: need help

A:

Q: A particle of mass m slides without friction on the inside of a cone. The axis of the cone is…

A:

Q: What is the maximum speed of a 1.5 kg ball on a string if it is rotated about a circle of radius 10…

A:

Q: The centripetal force of an object of mass  is given by F(r)=mv^2 / r, where v is the speed of…

A:

Q: Suppose you twirl a mass on a string in a vertical circle at a constant speed like you did in lab.…

A:

Q: Constants Mass M is distributed uniformly over a disk of radius a. Part A Find the gravitational…

A: Given: Mass = M Radius of disk = a Let a uniform disc of radius r lies in the x = 0 plane and is…

Q: You throw a ball straight up at v_0 (you are on the ground). Derive an expression for the highest…

A: Given that: Initial upward speed= Vo

Q: Part (i) Enter an expression for the total energy E of the satellite in terms of m and v. Part (j)…

A:

Q: Show that hooks law has the form of the general equation for a straight line. What would be the…

A: Restoring force always acts on a body in simple harmonic motion. The amount of the restoring force…

Q: roblem no. 5(88-A) The mass of each box is 4kg.Friction is negligible. The boxes start from rest at…

A:

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.