The force on a particle is described by 10x + 6 at a point x along the x-axis. Find the work done in moving the particle from the origin to x = 5.

Q: Find the work required to compress a spring from its natural length of1 ft to a length of 0.75 ft if…

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Q: Work of 2 Joules is done in stretching a spring from its natural length to 20 cmcm beyond its…

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Q: Find the work done by the force F = y2i + x3j, where force is measured in newtons, in moving an…

A: To determine the work done by the force.

Q: Find the work done when a constant force F =14 lbs moves a chair from x =2.9 to x =3.6 ft. along the…

A:

Q: Suppose it takes a force of 30 N to hold a spring that has been stretched from its natural length of…

A: Given, F= 30 N x1= 6 cm= 0.06 m x2= 8 cm= 0.08 m

Q: Find the work done in pushing a car a distance of 12 m while exerting a constant force of 300 N.

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Q: Find the force on one side of a plate bounded by x = y² and x = 2 - y² which is submerged vertically…

A: Given the plate is bounded by x = y2 and x = 2 - y2 and the plate is vertically submerged such that…

Q: How much work is required to move an object from x=4 to x =11 (measured in meters) in the presence…

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Q: Find the work done when a constant force F =16 lbs moves a chair from x =2.4 to x =5.1 ft. along the…

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Q: Find the work done by a force F = 5i (mag-nitude 5 N) in moving an object along the line from the…

A: Given,

Q: Suppose that 2J of work is needed to stretch a spring from it’s natural length of 30 cm to a length…

A: Given:The original length of the spring is 30 cm.The work done to stretch the spring from 30 cm to…

Q: A body of mass m falls from the rest in a medium offering resistance proportional to the square of…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the time required by the particle in passing between points which are at distances 4 and 2…

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Q: where does this concave up and down?

A: A graph is concave up if f''x>0 and concave down if f''x<0. When f''x>0, it means…

Q: At time to, a moving particle has the velocity vector v = 7i and the acceleration vector a = 7i +…

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Q: A shell of mass 5 kg is shot upward with an initial velocity of 250 m/sec. The magnitude of the…

A: The equilibrium of a body is considered as the state of the body when there is no force acting on a…

Q: When an object is located a distance of X feet from the origin, a force of a2 + 4x pounds is acting…

A: The answer is found in step-2

Q: A particle that is located x meters from the origin is subject to a force of 10 sin² () in Newtons.…

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Q: Find the acute angle that a constant unit force vector makes with the positive x-axis if the work…

A: Given- a constant unit force vector makes with the positive x-axis if the work done by the force in…

Q: 4 Joules of work are done when stretching a spring from its natural length to 14 cm beyond its…

A: Given that:   4 Joules of work are done when stretching a spring from its natural length to 14 cm…

Q: The force on a particle is described by 2x3 - 4 at a point æ along the a-axis. Find the work done in…

A: The force on a particle is described by 2x3 -4 at a point x along the x-axis. Find the work done in…

Q: A force with magnitude 35 N acts directly upward from the xy-plane on an object with mass 7 kg. The…

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Q: Find the work done (in Joules) in pushing a car a distance of 8 meters while exerting a constant…

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Q: Suppose that 5 J of work is needed to stretch a spring from its natural length of 24 cm to a length…

A: Let the force to hold the spring at a distance x beyond the natural length x is = f(x)=kx For 40 cm,…

Q: Find the work done by the force F =xyi + (y - x)j over the straight line from (- 2, - 1) to (-1,0).

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Q: Suppose it takes a force of 21 N to hold a spring that has been stretched from its natural length of…

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Q: When a particle is located at a distance x feet from the origin, a force of x +2x pounds acts on it.…

A: We have the given Force function F(x) = x2 + 2x where x is the distance in feet from the origin.…

Q: Find the work done by the force F = xyI+ (y– x)j over the straight line from 3) to (1,0). ..... The…

A: Given; F=xyi +(y-x)j.

Q: Force: f = ma; Solve for m. %3D

A: Given, Force:  f = ma We have to solve for m.

Q: A particle of mass, m, moves along a straight line while subject to (1) a force proportional to its…

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Q: Find the approximate roots of y = r - a +x – 3 between r = 2 and z = 2.5 by using either the…

A: Bisection method: Let f(x)=0 be equation, to find the roots of equation in interval a,b. Let us…

Q: Two particles have positions at timet given by the equations x, =t -t and x, =6t2 -t°. Find the…

A: Given two position functions x1=t3-t and x2=6t2-t3 as a function of time t To find the velocities…

Q: find the acceleration of a particle whose position function is x(t)=sin(2t)+cos(t)

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Q: Find the work done by the force F = xyi + (y-x)j over the straight line from (0,0) to (1, - 3). The…

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Q: Find the work W done by a force of 7 pounds acting in the direction 30° to the horizontal in moving…

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Q: When a particle is located a distance meters from the origin,a force of cos  ( pie x / 3 )newtons…

A: Given: To find the work done by a particle when moving from x = 1 to x = 2, the formula is given…

Q: Which of the following is the work done by a constant force F moving an object along a straight line…

A: The work done is defined as the integral of the force F with respect to the distance.   The work…

Q: A baseball is thrown from the stands 25 ft above the field at an angle of 40" up from the horzontal.…

A: Given that a baseball is thrown in projectile motion from the stand of height 25ft. at an angle with…

Q: A force of 30 N is required to maintain a spring stretched from its natural length of 12 cm to a…

A: Law used:  Hooks Law: Fx=kx where k is the spring constant.

Q: Suppose that an object moves in the positive direction along a coordinate line while subjected to a…

A: Using formula for work done

Q: Find the angle of tilt θ with the horizontal so that the contact force at B will be equal to 0.76…

A: Draw the free body diagram of the block.

Q: A particle moves through 3-space in such a way that its acceleration is a(t) = 8 sin 2ti + 8 cos…

A: Gg

Q: Suppose that an object moves in the positive direction along a coordinate line over the interval [a,…

A: Let the object moves in the positive direction along a coordinate line over the interval [a, b] Let…

Q: Find the work done by winding 3 meters of a cable if the force applied to wind the cable by x meters…

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Q: It takes 1900 J of work to stretch a spring from its natural length of 1 m to a length of 4 m. Find…

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Q: integrate ƒ over the given curve. ƒ(x, y) = x2 - y, C: x2 + y2 = 4 in the first quadrant from (0, 2)…

A: The given curve C is a circle with center at origin and radius of 2 units. Let the parametric…

Q: The force on a particle is described by 6x + 1 at a point x along the x-axis. Find the work done in…

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Q: How much work is required to move an object from x = 1 to x = 3 (measured in meters) in the presence…

A: The function f(x)=2x2. N moves an object from x = 1 to x = 3. We have to find work required to move…

Q: A particle that is located x meters from the origin is subject to a force of 10 sin? () in Newtons.…

A: To find the work done by moving particle from x =0 to x = 2.

Q: Determine where the resultant force acts measured from point O.

A: