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Identify three out of the four vectors v1=(2,1,3,1), v2=(-1,0,1,2), v3=(3,2,7,4), v4=(1,2,0,1) which are linearly independent.

How would you relate fluid pressure and the depth of the fluid?


At the instant an electron enters a uniform magnetic field of 0.500 T directed along the positive x-axis, its velocity has the following components: v x =2.00*10^ 6 m / s ,v y =0 and v z =3.00*10^ 6 m / s . Find the radius and pitch of the helical path followed by the electron.


1. Point charges q1 = −4.5 nC and q2 = +4.5 nC are separated by 3.1 mm, forming an electric

dipole. (a) Find the electric dipole moment (magnitude and direction). (b) The charges are in a

uniform electric field whose direction makes an angle of 36.9 ̊ with the line connecting the charges.

What is the magnitude of this field if the torque exerted on the dipole has a magnitude 7.2 × 10−9N ∙

m?


what is the image distance and the image size if a 4:00 cm tall light bulb is placed a distance of 30.5 cm from a diverging lens having a focal length of -11.2 cm?


Two cups tied to a string on both end , explain how sound waves travels to the other end

Four identical masses of 2 kg each are situated at the four corner of the square. A side of the square measures 3.0m. Find the moment of inertia about an axis passing through the center of the square and perpendicular to its plane


Three 2100 Ω resistors, all in parallel, are connected across a 210-V dc source. Calculate (a) the

total current, (b) the current through each resistor, and (c) the total power dissipated in the resistors.



A 2kg block at rest is acted upon by a constant force of 20N for 4 seconds. Find: (a). what momentum is required by the block ? (b). Find the final velocity of the block. Show complete solutions.


A 2kg mass is acted upon a force of 50N for 10 seconds. Find: (a). The impulse (b). The change in velocity of the object. Show complete solution.


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