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3 years ago

A certain comet has a parallax 1/40 as large as the moon. How far away is it (compared to the Moons distance)? Show Work

1 answer:

3 0

The distance and parallax are inversely related. We can find the distance using the following equation:

$d= \frac{1}{p}$

where d is distance and p is parallax.

We are given the parallax of the comet relative to the moon, and we are looking for the distance to the comet relative to the moon's distance, so wee can plug in the following value:

$d= \frac{1}{ \frac{1}{40} }$

The distance is 40 times as far away as the moon.

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An input force is applied to a 2 cm diameter piston. The piston compresses oil and is connected to a 4 cm diameter output piston

____ [38]

Answer:

4 times

Explanation:

Given:

diameter of the input piston, $d_i=2\ cm=0.02\ m$

diameter of the output piston, $d_o=4\ cm=0.04\ m$

In such mechanical arrangements the fluid acts as an incompressible link and the pressure remains uniform throughout the fluid bulk.

Then, by the Pascal's law:

$\frac{F_i}{A_i} =\frac{F_o}{A_o}$

where:

$F_i\ \&\ F_o$ are the input and the output forces respectively.

$A_i\ \&\ A_o$ are the input and the output area of pistons respectively.

$\frac{F_i\times 4}{\pi.d_i^2} =\frac{F_o\times 4}{\pi.d_o^2}$

$\frac{F_i}{d_i^2} =\frac{F_o}{d_o^2}$

$\frac{F_o}{0.04^2}=\frac{F_i}{0.02^2}$

$F_o=4\times F_i$

8 0

3 years ago

A physics teacher performing an outdoor demonstration suddenly falls from rest off a high cliff and simultaneously shouts "Help.

uranmaximum [27]

Answer:

532.0725 m

102.17270893 m/s

Explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration

g = Acceleration due to gravity = 9.81 m/s² = g

H = Height of cliff

Distance traveled in 3 seconds

$s=ut+\dfrac{1}{2}at^2\\\Rightarrow s=0\times t+\dfrac{1}{2}\times 9.81\times 3^2\\\Rightarrow s=44.145\ m$

Distance traveled by sound = 2H-44.145 m

$2H-44.145=ut+\dfrac{1}{2}at^2\\\Rightarrow 2H-44.145=340\times 3\\\Rightarrow H=\dfrac{340\times 3+44.145}{2}\\\Rightarrow H=532.0725\ m$

The height of the cliff is 532.0725 m

$v^2-u^2=2as\\\Rightarrow v=\sqrt{2as+u^2}\\\Rightarrow v=\sqrt{2\times 9.81\times 532.0725+0^2}\\\Rightarrow v=102.17270893\ m/s$

Her speed just before she hits the ground is 102.17270893 m/s

5 0

3 years ago

What is science explain

vladimir2022 [97]

Answer:

Science is the pursuit and application of knowledge and understanding of the natural and social world following a systematic methodology based on evidence. Scientific methodology includes the following: ... Evidence. Experiment and/or observation as benchmarks for testing hypotheses.

3 0

3 years ago

Read 2 more answers

A car collides into a concrete wall going 25.0 m/s . It stops in 0.141 seconds and has a change in momentum of 39,400. What is t

vodka [1.7K]

Answer:

Mass of the car is 1576 kg.

Explanation:

Let the mass of the car be $m$ kg.

Given:

Initial velocity of the car is, $u=25\ m/s$

As the car stops, final velocity of the car is, $v=0\ m/s$

Change in momentum is, $\Delta p=39400$

Now, we know that, momentum is given as the product of mass and velocity.

So, change in momentum is given as:

$\Delta p=m(u-v)\\39400=m(25-0)\\39400=25m\\m=\frac{39400}{25}\\m=1576\ kg$

Therefore, the mass of the car is 1576 kg.

4 0

3 years ago

A 7450 kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.35 m/s2 and feels no appreci

bagirrra123 [75]

Answer:

a) 520m

b) 10.30 s

c) 100,95 m/s

Explanation:

a) According the given information, the rocket suddenly stops when it reach the height of 520m, because the engines fail, and then it begins the free fall.

This means the maximum height this rocket reached before falling was 520 m.

b) As we are dealing with constant acceleration (due gravity) $g=9.8 \frac{m}{s^{2}}$ we can use the following formula: