Doing a warmup before exercise is important because it

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Answer 1

Answer: Doing a warm-up before exercise is important because it strengthens your body and gets your body ready for the exercise you are about to do. If you do not do a warm-up, your body may grow tired a bit more quickly.

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The ability of an apple to change color when exposed to air is chemical or physical

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The ability of an apple to change color when exposed to air represents an example of a chemical change.

What is a Chemical change?

A chemical change may be defined as a type of change of materials into another form or new materials with different properties, and one or more than one new substance is formed spontaneously.

The change of color of the apple into brown when it is exposed to air is a chemical change. When you observed the color of an apple is to be brown, you are producing a chemical change. This involves the rearrangement of atoms in one or more substances resulting in a change in their chemical properties or composition.

Therefore, the ability of an apple to change color when exposed to air represents an example of a chemical change.

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An apple has the ability to change color when exposed to air is a chemical property.

Each of 100 identical blocks sitting on a frictionless surface is connected to the next block by a massless string. The first block is pulled with a force of 100 N. What is the tension in the string connecting block 100 to block 99? What is the tension in the string connecting block 50 to block 51?

Answers

We have that for the Question "What is the tension in the string connecting block 100 to block 99? What is the tension in the string connecting block 50 to block 51?"

it can be said that

The tension in the string connecting block 100 to block 99 = $1N$

The tension in the string connecting block 50 to block 51 = $50N$

From the question we are told

Each of 100 identical blocks sitting on a frictionless surface is connected to the next block by a massless string. The first block is pulled with a force of 100 N.

Assuming mass of each block is 1 kg

The equation for the force is given as

$F = ma\n\na = (F)/(m)\n\n = (100)/(100*1)\n\n = 1 m/s^2$

Now, between block 100 and 99,

$F = ma\n\nF = 1*1 \n\n= 1 N$

Now between block 50 and 51. There are 50 blocks behind 51 st block, so,

$m = 50 Kg\n\na = 1 m/s2 (assuming all blocks accelerate at same rate)\n\nF = 50 * 1\n\nF= 50 N$

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Answer:

The tension in the string connecting block 50 to block 51 is 50 N.

Explanation:

Given that,

Number of block = 100

Force = 100 N

let m be the mass of each block.

We need to calculate the net force acting on the 100th block

Using second law of newton

$F=ma$

$100=100m* a$

$ma=1\ N$

We need to calculate the tension in the string between blocks 99 and 100

Using formula of force

$F_(100-99)=ma$

$F_(100-99)=1$

We need to calculate the total number of masses attached to the string

Using formula for mass

$m'=(100-50)m$

$m'=50m$

We need to calculate the tension in the string connecting block 50 to block 51

Using formula of tension

$F_(50)=m'a$

Put the value into the formula

$F_(50)=50m* a$

$F_(50)=50*1$

$F_(50)=50\ N$

Hence, The tension in the string connecting block 50 to block 51 is 50 N.

A beam of white light goes from air into water at an incident angle of 84.0∘. At what angles are the red 660 nm and violet 410 nm parts of the light refracted? Red light in water has an index of refraction equal to 1.331 and that of violet light is 1.342.

Answers

The angle at which the light got refracted is known as the angle of refraction. The angle of refraction of red light is 48.3°. While the angle of refraction of Violet light is 47.8°.

What is snell law?

"The ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant, for the light of a given color and for a given set of media,

According to Snell's law. The formula for Snell's law is

$\rm {n= (sini)/(sinr) }$

i is the incidence angle

r is the refractionangle.

n is the refractive index of the medium

For red light,

$\rm {n= (sini)/(sinr) }\n\n\rm {1.331= (sin84^0)/(sinr)\n$

$\rm{sinr=(sin84^0)/(1.331)}$

$\rm r = sin^(-1)(0.7472)$

$\rm r = 48.3^0$ $\rm r = 47.8^0$

Hence the angle of refraction of red light is 48.3

For violet light,

$\rm {n= (sini)/(sinr) }\n\n\rm {1.342= (sin84^0)/(sinr)\n$

$\rm{sinr=(sin84^0)/(1.342)}$

$r = sin^(-1)(0.7411)$

Hence the angle of refraction of Violet light is 47.8°.

To learn more about snell's law refer to the link;

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Answer:

Red light has an angle of refraction of 48.3°.

Violet light has an angle of refraction of 47.8°.

Explanation:

From Snell's law of refraction, the refractive index is the ratio of the sine of the angle of incidence to the sine of the angle of refraction.

$n=(\sin i)/(\sin r)$

For red light in water,

$1.331=(\sin 84)/(\sin r)$

$\sin r=(\sin 84)/(1.331)=0.7472$

$r=\sin^(-1)0.7472=48.3}$

For violet light in water,

$1.342=(\sin 84)/(\sin r)$

$\sin r=(\sin 84)/(1.342)=0.7411$

$r=\sin^(-1)0.7411=47.8}$

Cliff divers at Acapulco jump into the sea from a cliff $30.7 m$ high. At the level of the sea, a rock sticks out a horizontal distance of $9.34 m$.The acceleration of gravity is $9.8 m / s ^{2}$.
With what minimum horizontal velocity must the cliff divers leave the top of the cliff if they are to miss the rock?
Answer in units of $m / s$.

Answers

Answer:

To solve this problem, we can use the kinematic equation for horizontal motion, which relates the initial velocity ($v_{0}$), final velocity ($v_{f}$), acceleration ($a$), and displacement ($d$) of an object:

$d = v_{0} t + \frac{1}{2}at^{2}$

In this case, we want to find the minimum initial velocity ($v_{0}$) that the divers must have to clear the rock. To do this, we can assume that the divers just graze the rock at the start of their trajectory, so the displacement in the horizontal direction is equal to the distance from the cliff to the rock ($d = 9.34 m$). We also know that the acceleration in the horizontal direction is zero, so the only force acting on the divers is gravity in the vertical direction, which gives an acceleration of $a = 9.8 m/s^{2}$.

At the instant the divers leave the cliff, they have zero horizontal velocity, so $v_{0} = 0$. We can use the equation above to solve for the time it takes for the divers to fall from the cliff to the level of the rock:

$d = \frac{1}{2}at^{2} \Rightarrow t = \sqrt{\frac{2d}{a}}$

Plugging in the numbers, we get:

$t = \sqrt{\frac{2(9.34 m)}{9.8 m/s^{2}}} \approx 1.44 s$

Since the cliff divers want to clear the rock, they need to travel a horizontal distance of at least $9.34 m$ during this time. We can use the equation for horizontal motion again to solve for the minimum initial velocity:

$d = v_{0}t \Rightarrow v_{0} = \frac{d}{t} = \frac{9.34 m}{1.44 s} \approx 6.49 m/s$

Therefore, the minimum horizontal velocity that the cliff divers must have to clear the rock is approximately $6.49 m/s$.

What is distance and direction of an object from its starting point

Answers

The distance and direction of an object from its starting point is called displacement. The main difference between distance and displacement is the consideration of distance in displacement. Distance is a scalar quantity, while displacement is a vector quantity. Scalar quantities don't take note of direction, while vector quantities do.

Increasing the pitch of a note on the piano means you make the note

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Increasing the pitch makes a note higher

Answer:

Increasing the pitch of a note on the piano means you make the note higher

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