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Given that: 𝐴= 2i + 9j +3k and 𝐵= -i – 4k . Find 𝐴 𝑋𝐵


A unit vector normal to the surface z=x^2+y^2



At the point (1,2,5) is

A=yz then it's gradient is






A uniform rod 2 m long and weighing 65N is pivoted to the wall. A weight of 25 N is suspended at the other end of the rod. What is the magnitude of vertical and horizontal components of the force exerted on the pivot as well as the tension in the string?


a 60kg man on a 3kg stretcher that is 2.6m long. his center of mass is 1m from one end. how much force must be entered to keep horizontal


Two sailors are at the tops of their ships’ masts in the open ocean. The mast of ship A is twice as high as that of ship B. How much farther can sailor A see than sailor B? a) no farther

b) a little more than 40% farther

c) twice as far

d) almost three times as far

e) four times as far


Please give me full explanation how to answer this question.

I want to know it for necessary.

Thank you so much.

A car travels with a constant speed of 8 m/s. The car’s engine produces a 5699 N pushing force in order to keep the speed constant. How much power is developed by the engine?


Two blocks of mass and M connected by a massless spring of spring con stant & are placed on a smooth horizontal table. Determine the equations of




motion using Newtonian mechanics

Suppose a giant cargo ship of 10 m in length is carrying heavy boxes, some of them of solid marble. At the end of the ship is a 2m inclined plane tilted 15° above the horizontal to help the electric winch pull the 1.5 ton (t) marble heavy box. The winch gains a power of 1.5kW when the box is pulled at a constant speed up the inclined plane, bearing in mind that the kinetic friction coefficient between the marble box and the plane is 0.50.


And when carrying the box, the rope broke and the box fell next to the ship and to the bottom of the sea at a distance of 0.2Mpa (2atm). Suppose the winch was 5m above sea level at the time the rope was cut. a) Find the horizontal distance of the box from the winch b) What is the ratio of this horizontal distance to the length of the carrying vessel?


Explain your answer.

What is lagrangian.

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