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]
Q: An object moves along a straight line path from (0,0) to the point (3,3) under the action of a…
A:
Q: As shown in the figure below, a box of mass m = 57.0 kg (initially at rest) is pushed a distance d =…
A: (a) Work done by the applied force is WA=FAdcosθ=216 N98.0 mcos30°=18330 J (b) Work done by the…
Q: Calculate A) the conservative force described by the potential energy function U(x,y,z) = ½ k (2x³…
A: We have given a potential energy U(x,y,z)=1/2k(2x3+5y2-3z4) We know that a conservative force can we…
Q: particle is acted on by a conservative force, F = (-Ax + Bx6)î N, where A and B are constants, and x…
A:
Q: You push a supermarket cart 17 m at constant speed on level ground, against a 20.7N frictional…
A:
Q: phy.3
A: The objective of the question is to calculate the work done by a force on an object moving along a…
Q: the gravita potential energies for mass is Kg), (mass is 60 Kg), and Mark (mass is 75.0 kg) from the…
A: Mass of Peter is mp = 80 kg Mass of David is md = 60 kg Mass of Mark is mm = 75 kg Distance of David…
Q: A single conservative force acts on a 4.90-kg particle within a system due to its interaction with…
A: Given data, Mass of the particle = 4.90 kg Force, Fx=2x+4 Also, x = 0.92 m to x = 6.45 m
Q: Hi, why can't you solve for vb using the work energy theorum? Since it is initailly at rest and you…
A: Of course we can use work energy theorem here by taking displacement from top to bottom by…
Q: What work is done by a force F = (2x N)i+(3N)j, with x in meters, that moves -(4m)i – (3m)j ? %3D a…
A:
Q: A force parallel to the x-axis acts on a particle movingalong the x-axis. This force produces…
A: Given: Ux = α × x4 α =0.630 Jm4 x = - 0.800 m
Q: A rubber band resists being stretched along x with a force F⃗b = −iβ√x, where β is a constant. (i is…
A:
Q: Find the potential energy U(x) of the particle. Also graph quantitatively F(x) and U(x) vs. x.
A:
Q: A 0.200-kg particle has a speed of 1.50 m/s at point O and kinetic energy of 7.10 J at point ®. (a)…
A:
Q: #53
A:
Q: where a and b are constants. U(y)=-b+ay+ " by equation a) Find an expression for the force on the…
A: Solution: Consider a particle confined by a potential energy function given as: Uy=-b+ay4…
Q: A car accelerates from zero to a velocity v. Another car of indentical mass accelerates from zero to…
A: Given value--- A car accelerates from zero to a velocity v. Another car of indentical mass…
Q: are TRUE about cc
A: If work done by a force does not depends on path then it is called conservative force
Q: 9) A particle moves along the trajectory shown below under the influence of the given force.…
A: Given: The equation of the particle path is y=ax2-bx Where a and b values are given by a = 3 m-1 b =…
Q: A 0.200-kg particle has a speed of 2.30 m/s at point O and kinetic energy of 7.10 J at point B. (a)…
A: Mass of the particle m=0.200 kg The speed of the particle at point A ,vA=2.30 m/s The kinetic…
Q: A gravitational potential energy function of a particle is U(y) = (2.00y2 + 3.00y + 6.00) J.…
A: Given: U(y)=(2.00y2+3.00y+6.00)J To find: Gravitational force at displacement 1.0 m = F at y=1.0 m…
Q: A block slides 42 m down a ramp that makes an angle of 60° with the ground. Determine the mass of…
A: We have to use the formula W= F * s for this problem
Q: A hydroelectric generator converts kinetic energy of water into electrical energy. Each second 2264…
A: Given: The mass of the water is m =2264 m3 The height of the waterfall is h=191 m’ Acceleration due…
![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)

Step by step
Solved in 2 steps with 2 images

- 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
- 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?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.