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4 years ago

If an object is rolling without slipping, how does its linear speed compare to its rotational speed?

Physics

1 answer:

RoseWind [281]4 years ago

3 0

Answer:

v = rw

Explanation:

When an object is rolling continuously without slipping, then every angle it rotates through, is equal to a distance the perimeter has rotated.

If the object completes 10 revolutions and takes a particular time, let's say t to complete it. The angular distance would then be 20 π rad, while its angular velocity will be 20 π/t

The circumference will somehow translate to the distance it covers, which is 20πr, this means that the speed is 20πr/t

So, like the question asked, the linear speed compared to angular speed is

v : w

20πr/t : 20πt, which can be simplified to

r : 1

In essence, v = rw

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Two parallel conducting plates are connected to a constant voltage source. The magnitude of the electric field between the plate

Alecsey [184]

Answer:

The magnitude of the new electric field is 35820 N/C.

Explanation:

Given:

Original magnitude of electric field (E₀) = 2388 N/C

Original voltage = 'V' (Assume)

Original separation between the plates = 'd' (Assume)

Now, new voltage is three times original voltage. So, $V_n=3V$

New distance is 1/5 the original distance. So, $d_n=\dfrac{d}{5}$

Now, electric field between the parallel plates originally is given as:

$E_0=\frac{V}{d}=2388\ N/C$

Let us find the new electric field based on the above formula.

$E_n=\frac{V_n}{d_n}\\\\E_n=\frac{3V}{\frac{d}{5}}\\\\E_n=15(\frac{V}{d})$

Now, $\frac{V}{d}=2388\ N/C$ . So,

$E_n=15\times 2388=35820\ N/C$

Therefore, the magnitude of the new electric field is 35820 N/C.

3 0

3 years ago

The diagram shows monochromatic light passing through two openings.

geniusboy [140]

Answer: constructive interference in which waves strengthen each other

Explanation:

4 0

3 years ago

A balloon filled with helium gas has an average density of rhob = 0.22 kg/m3. The density of the air is about rhoa = 1.23 kg/m3.

MissTica

Answer:

$a=g\left(\frac{\rho_a}{\rho_b}-1\right)$

45.03681 m/s²

Explanation:

$F_b$ = Buoyant force

W = Weight of the balloon

$\rho_a$ = Density of air = 1.23 kg/m³

$\rho_b$ = Density of balloon = 0.22 kg/m³

$v_a$ = Volume of air

$v_b$ = Volume of balloon

$F_b=\rho_av_bg$

$W=\rho_bv_bg$

g = Acceleration due to gravity = 9.81 m/s²

The net force acting on the balloon is

$F=F_b-W\\\Rightarrow F=\rho_av_bg-\rho_bv_bg\\\Rightarrow \rho_bv_ba=\rho_av_bg-\rho_bv_bg\\\Rightarrow \rho_bv_ba=v_bg(\rho_a-\rho_b)\\\Rightarrow a=\frac{g}{\rho_b}(\rho_a-\rho_b)\\\Rightarrow a=g\left(\frac{\rho_a}{\rho_b}-1\right)$

The equation is $a=g\left(\frac{\rho_a}{\rho_b}-1\right)$

$a=g\left(\frac{\rho_a}{\rho_b}-1\right)\\\Rightarrow a=9.81\times \left(\frac{1.23}{0.22}-1\right)\\\Rightarrow a=45.03681\ m/s^2$

The acceleration of the balloon is 45.03681 m/s²

8 0

3 years ago

Object A attracts object B with a gravitational force of 5 newtons from a given distance. If the distance between the two object

givi [52]

Answer:

Four times higher

Explanation:

F- G (m1 x m2)/ r^2

if r 1 = 2 and r 2 = 1 therefore F = G (m1 x m2)/ 1^2 is 4 times higher than

2^2 since G and m1 and m2 remained the same

5 0

3 years ago

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In order to increase the amount of work completed, it is necessary to decrease the force applied to an object. decrease the time

wlad13 [49]

The answer to your question is: increase the force applied to the object.

Two items are provided as a basis for that conclusion:
1. According to Newton's Second Law of Motion, the formula for finding force is: F = ma
where F is the force,
m is the mass of an object,
and a is the acceleration of the object.

And 2: work = force x distance or W = F x d.

5 0

3 years ago

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