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3 years ago

What can affect the acceleration of objects? (multiple choice)

1 answer:

8 0

The Answer is C. The objects have the same force and mass acting on them

Explanation: the acceleration of an object increases with increased force and decreases with increased mass

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The cylindrical tub of a dryer in a laundromat rotates counterclockwise about a horizontal axis at 41.5 rev/min as it dries the

frozen [14]

Answer:

$\theta = 49.81^0$

Explanation:

Given that:

$\omega = 41.5 \ rev/min\\\\\omega = 41.5 *\frac{1}{60}* 2 \pi\\\\\omega = 4.45 \ rad/s\\\\\\diameter = 0.748 m$

If we let the piece of the close lose contact at ∠θ;

Then ; from force balance;

we have:

$\\\\mg sin \theta = \frac{mv^2}{r}\\\\sin \theta = \frac{2v^2}{dg}\\\\\theta = sin^{-1} (\frac{2v^2}{dg})$

where;

$v = \frac{\omega d}{2}\\\\v = \frac{4.45 *0.748}{2}\\\\v = 1.6643\\\\v^2 = 2.77$

Again:

$\theta = sin^{-1}(\frac{2v^2}{dg})\\\\\theta = sin^{-1}( \frac{2*2.77}{0.74*9.8})\\\\\theta = 49.81^0$

6 0

3 years ago

State and prove bessel inequality

maria [59]

Statement :- We assume the orthagonal sequence ${{\{\phi\}}_{1}^{\infty}}$ in Hilbert space, now ${\forall \sf \:v\in \mathbb{V}}$ , the Fourier coefficients are given by:

${\quad \qquad \longrightarrow \sf a_{i}=(v,{\phi}_{i})}$

Then Bessel's inequality give us:

${\boxed{\displaystyle \bf \sum_{1}^{\infty}\vert a_{i}\vert^{2}\leqslant \Vert v\Vert^{2}}}$

Proof :- We assume the following equation is true

${\quad \qquad \longrightarrow \displaystyle \sf v_{n}=\sum_{i=1}^{n}a_{i}{\phi}_{i}}$

So that, ${\bf v_n}$ is projection of ${\bf v}$ onto the surface by the first ${\bf n}$ of the ${\bf \phi_{i}}$ . For any event, ${\sf (v-v_{n})\perp v_{n}}$

Now, by Pythagoras theorem:

${:\implies \quad \sf \Vert v\Vert^{2}=\Vert v-v_{n}\Vert^{2}+\Vert v_{n}\Vert^{2}}$

${:\implies \quad \displaystyle \sf ||v||^{2}=\Vert v-v_{n}\Vert^{2}+\sum_{i=1}^{n}\vert a_{i}\vert^{2}}$

Now, we can deduce that from the above equation that;

${:\implies \quad \displaystyle \sf \sum_{i=1}^{n}\vert a_{i} \vert^{2}\leqslant \Vert v\Vert^{2}}$

For ${\sf n\to \infty}$ , we have

${:\implies \quad \boxed{\displaystyle \bf \sum_{1}^{\infty}\vert a_{i}\vert^{2}\leqslant \Vert v\Vert^{2}}}$

Hence, Proved

5 0

2 years ago

Read 2 more answers

A car moving at a velocity of 25m/s, so how much distance it will travel in 5 seconds?

denpristay [2]

Answer:

125 meters

Explanation:

5s= s*5 so 25*5=125 m

3 0

3 years ago

The difference between Lincoln's plan of reconstruction and the Radical Republicans' is that Lincoln wanted to reunite the union

Oduvanchick [21]

Answer:

The differences between the Lincoln, Johnson, and Congress Reconstruction plans include: Although both the Lincoln and Johnson plan were open to readmission of the southern States, Congress claimed that the two administrations were too lenient and sought stiffer punishment for the States

The aspect of Abraham Lincoln's plan for reconstruction in the South that made it differ from the plan of congressional leaders was that Lincoln's plan was more focused on helping the South rebuild than on punishing it and the Radical Republicans' reconstruction offered all kinds of new opportunities to African Americans, including the vote (for males), property ownership, education, legal rights, and even the possibility of holding political office. By the beginning of 1868, about 700,000 African Americans were registered voters.

Reconstruction encompassed three major initiatives:

1. restoration of the Union

2. transformation of southern society

3.enactment of progressive legislation favoring the rights of freed slaves

6 0

3 years ago

A satellite originally moves in a circular orbit of radius R around the Earth. Suppose it is moved into a circular orbit of radi

sergiy2304 [10]

satellite originally moves in a circular orbit of radius R around the Earth. Suppose it is moved into a circular orbit of radius 4R.

(i) What does the force exerted on the satellite then become?

eight times largerfour times larger one-half as largeone-eighth as largeone-sixteenth as large(ii) What happens to the satellite's speed?eight times largerfour times larger one-half as largeone-eighth as largeone-sixteenth as large(iii) What happens to its period?eight times largerfour times larger one-half as largeone-eighth as largeone-sixteenth as large

3 0

3 years ago

Read 2 more answers