A 50-kg ice skater is holding a 3-kg ball, moving at a steady +5 m/s. She then throws the ball backwardsat -10 m/s, if so what would her final velocity be?

Answers

Answer 1

Answer:

Answer: 5.9 m/s

Explanation:

This problem can be solved by the Conservation of Momentum principle, which establishes that the initial momentum $p_(o)$ must be equal to the final momentum $p_(f)$ :

$p_(o)=p_(f)$ (1)

Where:

$p_(o)=(m_(1)+m_(2))V_(o)$ (2)

$p_(f)=m_(1)U_(f)+m_(2)V_(f)$ (3)

$m_(1)=50 kg$ is the mass of the skater

$m_(2)=3 kg$ is the mass of the ball

$V_(o)=5 m/s$ is the initial velocity of the skater and the ball

$V_(f)=-10 m/s$ is the final velocity of the ball

$U_(f)$ is the final velocity of the skater

Substituting (2) and (3) in (1):

$(m_(1)+m_(2))V_(o)=m_(1)U_(f)+m_(2)V_(f)$ (4)

Isolating $U_(f)$ :

$U_(f)=((m_(1)+m_(2))V_(o)-m_(2)V_(f))/(m_(1))$ (5)

$U_(f)=\frac{(50 kg+3 kg)5 m/s}-(3 kg)(-10 m/s)}{50 kg}$ (6)

Finally:

$U_(f)=5.9 m/s$

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WILL GIVE BRAINLIEST AND 30 POINTS!What is the magnitude of a nanometer?

10–3 m
10–6 m
10–9 m
10–12 m

Answers

Based on scientific information and records, the magnitude of a nanometer is equal to: C. 10⁻⁹ m.

What is measurement?

Measurement refers to a process through which the size, magnitude or other physical quantities associated with an object is taken, especially for the purpose of a scientific research (experiment).

What is a nanometer?

In the metric system, a nanometer can be defined as a measure of length such as:

Wavelengths of light.

Distances between atoms of a molecule.

In conclusion, a nanometer is one billionth (10⁻⁹ m) of a meter.

Read more on a nanometer here: brainly.com/question/5753030

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The magnitude would be 10-9m

Name the apparatus used to measure friction force? PLEASE HELP AS SOON AS POSSIBLE

Answers

There is no apparatus for it. It is either use something like ruler and table and rub together or rub our hands, and friction force will be showed.

a person pushing a stroller starts from rest, uniformly accelerating at a rate of 0.500 m/s2. What is the velocity of the stroller after it has traveled 4.75 m ?

Answers

Answer:

Approximately $2.18 m\cdot s^(-1)$ .

Explanation:

Consider one of the equations for constant acceleration ("SUVAT" equations)

$v^(2) - u^(2) = 2 \; a \cdot x$ ,

where

$v$ is the final velocity of the object,
$u$ is the initial velocity of the object,
$a$ is the acceleration of the object, and
$x$ is the distance that the object had traveled while its velocity changed from $u$ to $v$ .

Note that unlike other SUVAT equations, this one does not ask for the time required for the speed of the object to change from $u$ to $v$ . Since in this problem, time isn't given, this time-less equation would particular useful.

Here

$v$ the final velocity needs to be found.
$u = 0$ for the stroller started from rest.
$a =\rm 0.500 \;m \cdot s^(-2)$ is the acceleration of the stroller, and
$x = \rm 4.75\; m$ is the distance that the stroller traveled while its velocity changed from $u$ to $v$ .

Rearrange the equation to isolate the unknown, $v$ :

$v^(2) = u^(2) + 2 \; a \cdot x$ .

Make sure that all units are standard, so that the unit of the output will also be standard. Apply the equation:

$v = \sqrt{u^(2) + 2 \; a \cdot x} = √(0^2 + 2 * 0.500 * 4.75 )\approx \rm 2.18\; m\cdot s^(-1)$ .

Hence the final velocity will be approximately $\rm 2.18 m\cdot s^(-1)$ .

Name two ways to reduce friction and two ways to increase it.

Answers

Ways to increase friction

- increase the roughness of the contact materials
- increase the pressure on the contact

Ways to decrease friction

- float the moving body on air
- suck out any air

A cube is measure 1 cm on each side and has a mass of 2 grams. Will it float on water?

Answers

Density = mass/volume
The density of water is 1g/cm^3

Density of the cube=2g/1cm^3
Density=2g/cm^3
Anything over the density of water will sink. The cube will not float.

Why is it important for DNA to be copied before cell division?

Answers

If DNA is improperly copied, the cell will function differently.
This is called a mutation.
Mutated cells do not do the originally intended purpose.

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