a) Find the force F(x) of a particle moving in 1D with a potential energy of U(«) = U. [2 ) - O'1 where Ua and a are positive constants. [5 points]
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![a) Find the force F(x) of a particle moving in 1D with a potential energy of
U«) = U. [2 )* - O1
where Ug and a are positive constants. [5 points]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F866d9fde-2cb2-4ff0-8d56-5d19cdf2be25%2Fe3c61428-38a3-48be-abb1-811451c2dc7d%2Fjr2s8a_processed.jpeg&w=3840&q=75)
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- A 6.00 kg package slides 2.50 m down a long ramp that inclined 20° below [2.) the norizontal. The coefficient of kinetic friction between the package and the ramp is Hk = 0.23. Calculate (a) the work done on the package by friction; (b) the work done on the package by gravity3; (c) the work done on the package by the normal force; (d) the total work done on the package. (e) If the package has a speed 3.00 m/s at the top of the ramp, what is its speed after slidinga.50 m down the ramp?The force on a particle is described by 2x^3−6 at a point x along the x-axis. Find the work done in moving the particle from the origin to x=7.Problem Thirteen. A potential energy function is given by U(r)=U2 where o = 2.00 m r r and U, = 1.00 J. Find the magnitude of the force at r= 1.00 m. Give an answer in kN. 25.) (A) 280 (В) 106 (С) 420 (D) 470 (E) 530
- given |F| = 20 N d= 2 m Find work done by force F. Answer in [Joules] (that is N.m)1. The restoring force from a non-ideal spring can be described by F-250N/m A-800N/m³. (Az)³, where Az is measured from equilibrium. How much work is done compressing this spring by 10 cm?How much work is done by a force F = (10x)i + (5y)j – (2z)k, with x in meters, that acts on a particle as it moves from coordinates (1,3,1) to (8,11,4)?
- E21) a)Write the work done by a conservative force in terms of its potential energy. b)In what direction are forces pointing to be considered centripetal? c)In a system of interacting particles, what conservation law results when ∑Fiext=? d)Anobjectexperiencingseveralforcesresultinginsomedisplacement.What is the net work done by these forces equal to If the work of one of these forces is path-dependent, then what is not conserved? e) If a frictional force causes the total mechanical energy of a system to decrease, then I) what happens to the system’s total internal energy? ii) what is truly conserved?2. Nicole lifts a bowling ball with a mass of 6.2 kg to a height of 1.5 meters above the floor. (a) How much work does she do to lift it? [be careful! E-S-AJ (b) How much gravitational potential energy (GPE) does the ball now have relative to the floor? (E-S-AJ (c) Work put into lifting an object to a given height is (greater than, less than, equal to) the GPE of the object as it rests at that height. (d) How much kinetic energy (KE) does the ball have as she holds it at rest at this height? while increasing in (height. (e) If she drops the ball, the ball will decrease in (height, speed) This indicates a transference of (KE, GPE) to (KE, GPE) speed). A pogo stick has a spring with a spring constant of 2.5×104N/m,, which can be compressed 12.0 cm. To what maximum height from the uncompressed spring can a child jump on the stick using only the energy in the spring, if the child and stick have a total mass of 40 kg?
- Problem 2: Suppose a car approaches a hill and has an initial speed of 108 km/h at the bottom of the hill. The driver takes her foot off of the gas pedal and allows the car to coast up the hill. a) If the car has the initial speed stated at a height of h = 0, how high, in meters, can the car coast up a hill if work done by friction is negligible? b) If, in actuality, a 770-kg car with an initial speed of 108 km/h is observed to coast up a hill and stops at a height 20.5m above its starting point, how much thermal energy was generated by friction in J?The work done on an object moving perpendicular to the force acting on it is: OJ at maximum O undeterminable.A cyclist starts from rest and coasts down a 4.0∘ hill. The mass of the cyclist plus bicycle is 85 kg. Ignore air resistance and friction. - After the cyclist has traveled 130 m, what was the net work done by gravity on the cyclist? - How fast is the cyclist going?