Sha Ne Rose Caya-os
2022-06-01

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asked 2021-01-31

A straight vertical wire carries a current of 1.20 A downward in a region b/t the poles of a large superconducting electromagnet,where the magnetic filed has magnitude B = 0.588 T and is horizontal. What are the magnitude and direction of the magnetic force on a 1.00 cm section of the wire that is in this uniform magnetic field, if the magnetic field direction is a) east? b)south? c) 30 degrees south of west?

According to the solutions, the force stays the same for parts $a,b,c:F=I\cdot l\cdot B=7.06\times {10}^{-3}$ but for part c,why isn't the 30 degree angle used to calculate the force?

asked 2021-02-15

(a) How far from a 50.0-mm-focal-length lens must an object be placed if its image is to be magnified 2.00 X and be real?

(b) What if the image is to be virtual and magnified 2.00 X?

asked 2021-03-21

A floating ice block is pushed through a displacement d=(15m)i-(12m)j along a straight embankment by rushing water, which exerts a force F=(210N)i-(150N)j on the block. How much work does theforce do on the block during the displacement?

asked 2021-03-07

A block of mass m=2.20 kg slides down a 30 degree incline which is 3.60 m high. At the bottom, it strikes a block of mass=7.00 kg which is at rest on a horizontal surface in the picture. If the collision is elastic, and friction can be ignored, determine (a)the speeds of the two blocks after the collision, and (b) how far back up the incline the smaller mass will go.

asked 2022-06-27

Let $U\subset {\mathbb{Q}}^{4}$ be the subspace induced by the following vectors:

${u}_{1}=\left(\begin{array}{c}2\\ 2\\ 6\\ 0\end{array}\right),\phantom{\rule{thickmathspace}{0ex}}{u}_{2}=\left(\begin{array}{c}2\\ -1\\ 1\\ 1\end{array}\right),\phantom{\rule{thickmathspace}{0ex}}{u}_{3}=\left(\begin{array}{c}-1\\ 0\\ 2\\ -1\end{array}\right)$

Compute the dimension of $U$ and find a homogeneous system of linear equations over $\mathbb{Q}$ with as few equations as possible, such that its solution set is $U$.

I've used Gaussian elimination and found out that $U$ has dimension 3, hence ${u}_{1},{u}_{2},{u}_{3}$ form a basis of $U$.

My problem: I haven't been able to find the according linear system and I have no idea how I should proceed with this.

${u}_{1}=\left(\begin{array}{c}2\\ 2\\ 6\\ 0\end{array}\right),\phantom{\rule{thickmathspace}{0ex}}{u}_{2}=\left(\begin{array}{c}2\\ -1\\ 1\\ 1\end{array}\right),\phantom{\rule{thickmathspace}{0ex}}{u}_{3}=\left(\begin{array}{c}-1\\ 0\\ 2\\ -1\end{array}\right)$

Compute the dimension of $U$ and find a homogeneous system of linear equations over $\mathbb{Q}$ with as few equations as possible, such that its solution set is $U$.

I've used Gaussian elimination and found out that $U$ has dimension 3, hence ${u}_{1},{u}_{2},{u}_{3}$ form a basis of $U$.

My problem: I haven't been able to find the according linear system and I have no idea how I should proceed with this.

asked 2022-03-31

Solving ${x}^{2}-\lfloor x\rfloor -4=0$

asked 2021-09-17

According to sales information in the first quarter of 2016. 2.5% of new vehicles sold in the United States were hybrids. This is down from 2.8% for the same period a year earlier. An analysts