A force F (in newtons) on an electron moving with velocity v meters per second in a uniform magnetic field B (in teslas) is given by F = q(v x B), where q = -1.6 x 10-19 coulombs is the charge on the electron. Calculate the force F on an electron moving with velocity 10³ m/s in the direction i in a uniform magnetic field B, where B = 0.0004i + 0.0005j teslas. (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) F =

Q: 9. Suppose that 2 J of work is needed to stretch a spring from its natural length of 30 cm to a…

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Q: 10. Compute the work done by the force F(x, y) = (x²–y) i+xj acting on an insect as it moves along a…

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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

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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…

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A: Given

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A: Explained below

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A: This is differential equation problem

Q: Find the work done by the force field

A: Given: The given function is, With A(1,1) and B(4,4). To find: The work done by the force field F…

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A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Approximate the change in the magnitude of the electrostatic force between two charges when the…

A: Magnitude is the size or numerical quantity or value. The approximation change formula is ∆y=f'(a)∆x…

Q: How much work is required to move an object from x = 0 to x = 6 (measured in meters) in the presence…

A: Work done = Force × Displacement

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A: topic- definite integral

Q: How much work is required to move an object from x = 0 to x = 6 (measured in meters) in the presence…

A: Given information:-   How much work is required to move an object from x = 0 to x = 6 (measured in…

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A: Using formula of work done,

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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: F= (e* – y+ xcosh(x))i+ (y³/2 + x)j.

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Q: It took 1800 J of work to stretch a spring from its natural length of 2 m to a length of 5 m. Find…

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Q: 3. The force F newtons acting on a body at a distance x metres from a fixed point is given by: F=3x…

A: Please refer the attached image for complete solution.

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Q: Suppose that 4 Joules of work is needed to stretch a spring from its natural length of 11 cm to a…

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Q: It takes 1,600 joules (J) of work to stretch a spring from its natural length of 4 meters (m) beyond…

A: W=12kA2, where A is stretched or compressed length of spring

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Q: Find the work done (in ft-Ilb) when a constant force F = 17 lb moves a chair from x = 0.2 to x = 1.8…

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Q: 5. The total force (in Newtons) on a dam having width w meters and holding back a column of water H…

A: The force can be found by intrgration.

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Q: 7. A 16 lb weight moves in a horizontal staight line under the joint action of a constant force of 8…

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A: Here we have to find the work done. The solution is following.

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…

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Q: It follows from Coulomb’s law in physics that two like electrostatic charges repel each other with a…

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Q: A constant horizontal force of 21 N pushes a 5 kg-mass through a medium that resists its motion with…

A: Since force is 21N , and ,mass is 5kgso, acceleration by the force is 215. There is an opposing…