Some words that have changed meaning due to technological advances are dial, type, tweet, drone, and spam.
Answer:
on the planet
on earth
Explanation:
Given:
- initial velocity of the tool before pushing,

- force applied on the tool,

- displacement of the tool,

- time taken for the displacement,

- height of releasing the tool,

- time taken by the tool to fall on the ground,

<u>Now using the equation of motion:</u>

where:
a = acceleration of the object


Now the mass of the tool:



<u>Using the equation of motion when the tool is dropped:</u>

here:
g = acceleration due to gravity on the planet


Weight of the tool in the planet:



Weight of the tool on the earth:



The relationship between wavelength, speed and frequency of a wave is given by

where

is the wavelength
v the speed
f the frequency
For the first wave, we can write

while for the second wave

where v is the same for two waves, since they have same speed. The first wave has twice the frequency of the second, so

So we can rewrite the wavelength of the first wave as

which means that the correct answer is
<span>3. the first has half the wavelength of the second</span>
Answer:
period in case 2 is
times the period in case 1
Explanation:
The period of oscillation of a spring is given by:

where
m is the mass hanging on the spring
k is the spring constant
Therefore, in order to compare the period of the two springs, we need to find their m/k ratio.
We know that when a mass hang on a spring, the weight of the mass corresponds to the elastic force that stretches the spring by a certain amplitude A:

So we find

The problem tells us that the amplitude of case 1 is d, while the amplitude in case 2 is 2d. So we can write:
- for case 1:


- for case 2:


And by comparing the two periods, we find:

So, the period of oscillation in case 2 is
times the period of oscillation in case 1.