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asked 2021-04-02

For what electric field strength would the current in a2.0-mm-diameter nichrome wire be the same as the current in a1.0-mm-diameter aluminum wire in which the electric field strengthis 0.0080 N/C?

asked 2021-09-08

a) Show that \(\displaystyle{P}{\left({h}{0}\right)}={K}{\left({v}{f}\right)}\)

b) Interpret result from part a)

Given:

A ball with mass m is dropped from an initial height of \(\displaystyle{h}_{{{0}}}\), and lands with a final velocity of vf. The kinetic energy of the ball is \(\displaystyle{K}{\left({v}\right)}={12}{m}{v}{2}\), where v is its velocity and the potential energy of the ball is \(\displaystyle{P}{\left({h}\right)}={m}{g}{h}\), where h is its height and g is a constant.

\(\displaystyle{v}{f}={2}{g}{h}{0}\)

b) Interpret result from part a)

Given:

A ball with mass m is dropped from an initial height of \(\displaystyle{h}_{{{0}}}\), and lands with a final velocity of vf. The kinetic energy of the ball is \(\displaystyle{K}{\left({v}\right)}={12}{m}{v}{2}\), where v is its velocity and the potential energy of the ball is \(\displaystyle{P}{\left({h}\right)}={m}{g}{h}\), where h is its height and g is a constant.

\(\displaystyle{v}{f}={2}{g}{h}{0}\)

asked 2021-04-21

Car 1 has a mass of m1 = 65 ā 103 kg and moves at a velocity of v01 = +0.81 m/s. Car 2, with a mass of m2 = 92 ā 103 kg and a velocity of v02 = +1.2 m/s, overtakes car 1 and couples to it. Neglect the effects of friction in your answer.

(a) Determine the velocity of their center of mass before the collision m/s

(b) Determine the velocity of their center of mass after the collision m/s

(c) Should your answer in part (b) be less than, greater than, or equal to the common velocity vf of the two coupled cars after the collision? less than greater than equal to

(a) Determine the velocity of their center of mass before the collision m/s

(b) Determine the velocity of their center of mass after the collision m/s

(c) Should your answer in part (b) be less than, greater than, or equal to the common velocity vf of the two coupled cars after the collision? less than greater than equal to

asked 2021-02-25

Find the general form of the span of th e indicated matrices, span(A1, A2)

\(B=\begin{bmatrix}2 & 5 \\ 0 & 3 \end{bmatrix} , A_1=\begin{bmatrix}1 & 2 \\ -1 & 1 \end{bmatrix} , A_2=\begin{bmatrix}0 & 1 \\ 2 & 1 \end{bmatrix}\)

\(B=\begin{bmatrix}2 & 5 \\ 0 & 3 \end{bmatrix} , A_1=\begin{bmatrix}1 & 2 \\ -1 & 1 \end{bmatrix} , A_2=\begin{bmatrix}0 & 1 \\ 2 & 1 \end{bmatrix}\)

asked 2021-03-09

Provide an example of open intervals (a1, b1), (a2, b2), : : : , (an, bn), : : : such that intersection of (n=1 to n=infinity) (an, bn) = [0, 1).

asked 2020-11-09

Suppose that \(\left\{a1,\ a2,\ a3,\ \cdots\right\}\) is an arithmetic sequence with common difference d.
Explain why \(\left\{a1,\ a3,\ a5,\ \cdots\right\}\) is also an arithmetic sequence.

asked 2021-01-31

(b) Prove that your closed-form solution is correct.