6. A light elastic string, of natural length a and modulus of elasticity 5mg,has one end attached to the base of a vertical wall. The other end of the stringis attached to a small ball of mass m. The ball is held at a distance from thewall, on a rough horizontal plane, and released from rest. The coefficient offriction between the ball and the plane is Find, in terms of a and g, the speedV of the ball as it hits the wall.

The natural length of the string is 'a' The modulus of elasticity is k = 5 mg the ball is at a…

Answered: A light elastic string, of natural…

Similar questions

A warehouse worker is pushing a 90.0 kg crate with a horizontal force of 276N at a speed of v = 0.875m/s across the warehouse floor. He encounters a rough horizontal section of the floor that is 0.75 m long and where the coefficient of kinetic friction between the crate and floor is 0.353. (a) Determine the magnitude and direction of the net force acting on the crate while it is pushed over the rough section of the floor. magnitude Ndirection ---Select--- up down in the same direction as the motion of the crate in the opposite direction as the motion of the crate (b) Determine the net work done on the crate while it is pushed over the rough section of the floor. J (c) Find the speed of the crate when it reaches the end of the rough surface. m/s
A mass of m = 0.500 kg slides across a horizontal frictionless counter with a speed vo= 0.300 m/s. It then runs into and compresses a spring of spring constant k-750 N/m. ୪୪୪୩ d O Weight, Normal, Spring Force, Friction O Weight, Spring Force, Friction O Weight, Normal, Spring Force O Weight, Normal, Friction Physics Principles (a) Pick all forces act on the spring-mass system as the mass compresses the spring. (b) Which of these forces do not do any work? C C -VO Weight, Normal Force, Spring Force Weight, Normal Force Normal, Spring Force Weight, Friction m
A package of mass 7 kg sits at the equator of an airless asteroid of mass 4.0 1020 kg and radius 5.9 105 m. We want to launch the package in such a way that it will never come back, and when it is very far from the asteroid it will be traveling with speed 188 m/s. We have a large and powerful spring whose stiffness is 2.1 105 N/m. How much must we compress the spring?
A block of mass m is initially at rest at the top of an inclined plane which has a height of 6.18m and makes an angle of θ=25.2∘ with respect to the horizontal. After being released, it is observed to be traveling at v=0.14m/s a distance d after the end of the inclined plane, as shown. The coefficient of kinetic friction between the block and the plane is μp=0.1, and the coefficient of friction on the horizontal surface is μr=0.2. Find the distance, d, in meters.
A crate of mass m is initially at rest at the highest point of an inclined plane which has a height of 5.28 m and makes an angle of A = 17.2° with respect to the horizontal. After it has been released, it is found to be traveling at v = 0.29 m/s a distance dafter the end of the inclined plane, as shown. The coefficient of kinetic friction between the crate and the plane is tp = 0.1, and the coefficient of friction on the horizontal surface is f4r = 0.2.
A 11 N horizontal force F→ pushes a block weighing 4.1 N against a vertical wall (see the figure). The coefficient of static friction between the wall and the block is 0.56, and the coefficient of kinetic friction is 0.49. Assume that the block is not moving initially. (a) Will the block move? ("yes" or "no") (b) In unit-vector notation Fxî+Fyĵ, what is the force on the block from the wall?
A particle of mass m = 1.50 kg moves along one dimension and is subject to a single force, whose potential energy function is given by U(x) = x4 – 2x2 + 4 (where U is measured in Joules and x is measured in meters). At the moment when the particle is located at position x = 1.50 m, its speed is v = 2.50 m/s. %3D
At the instant r = 2 m, the 8-kg disk is given a speed of v = 8 m/s, perpendicular to the elastic cord. Determine the speed of the disk at the instant r=1.1 m. The disk slides on the smooth horizontal plane. Neglect its size. The cord has an unstretched length of 0.5 m. k= 200 N/m B
A box is given a push so that it slides across the floor. How far will it go, given that the coefficient of kinetic friction is 0.25 and the push imparts an initial speed of 3.9 m/sm/s ?