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3 years ago

An 8 kg toddler is running at a speed of 10 m/s. how much energy does he have?

1 answer:

8 0

To find the Kinetic energy this is the equation

KE=1/2mv^2

so we know the mass (m) which is 8kg

we also know the velocity (v) which is 10 m/s

so we plug that into the equation and it should look like this - 1/2(8kg)(10m/s)^2 now we solve

so 1/2 x 8 = 4 so then we just do (4)(10)^2 which gets us 400.

Since kinetic=Joules

The answer is 400 J

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A playground merry-go-round of radius R = 1.40 m has a moment of inertia I = 265 kg · m2 and is rotating at 11.0 rev/min about a

Tom [10]

Answer:

The value of new value of angular speed of merry go round. $\omega_{2}$ = 0.96 $\frac{rad}{sec}$

Explanation:

Given data

r = 1.4 m

Moment of inertia $I_{1}$ = 265 kg - $m^{2}$

$N_{1} =$ 11 RPM

$\omega_{1} = \frac{2 \pi N}{60}$

$\omega_{1} = \frac{2 \pi (11)}{60}$

$\omega_{1}$ = 1.15 $\frac{rad}{sec}$

From conservation of momentum principal

$I_{1} \omega_{1} = I_{2} \omega_{2}$ ------- (1)

$I_{2} = m r^{2} + 265$

$I_{2} = 27 (1.4)^{2} + 265$

$I_{2} = 317.92 \ kg m^{2}$

Put all the values in equation (1)

265 × 1.15 = 317.92 × $\omega_{2}$

$\omega_{2}$ = 0.96 $\frac{rad}{sec}$

This is the value of new value of angular speed of merry go round.

6 0

3 years ago

How do you find the missing terms in a number sentence?

FrozenT [24]

Determine the rule that the numbers in the sequence obey, and then utilize this rule to determine the missing term to complete a number sequence. The rule that the numbers in the example above adhere to is "Add 8 and then remove 2." Therefore, 32 is the term that is missing from the given number sequence.

<h3>What is a number sentence?</h3>

A number sentence is an equation or inequality that is articulated using numbers and mathematical symbols in the context of mathematics education.
In the US, Canada, UK, Australia, New Zealand, South Africa, and other countries, the phrase is used in the instruction of elementary-level mathematics.
The word is employed when asking pupils to write equations using fundamental mathematical symbols.
Unknown values are sometimes denoted by boxes or forms.
To introduce pupils to the ideas of structure and basic algebra before more formal teaching of these concepts, number sentences are utilized.

<h3>A math sentence is what?</h3>

A mathematical statement about two expressions is made.
Either integers, variables, or a combination of both are used in the two phrases.
Additionally, words or symbols like equals, greater than, or less than can be used in a mathematical phrase.

Learn more about number sentences here:

brainly.com/question/13349953

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5 0

1 year ago

An astronaut on Earth notes that in her soft drink an ice cube floats with 9/10 of its volume submerged. If she were instead in

riadik2000 [5.3K]

Answer:

B) with 9/10 submerged

Explanation:

$m$ = mass of ice cube

$\rho$ = density of soft drink

$V$ = Volume of soft drink displaced

ice cube floats in the soft drink when the force of buoyancy on it balances its weight. Force of buoyancy acting on the cube in upward direction is same as the weight of the soft drink displaced. hence we can write

weight of ice cube = weight of soft drink displaced

$mg = \rho V g$

$m = \rho V$

we see that the acceleration due to gravity cancel out both side and hence it does affect as astronaut is on earth on in a lunar module.

8 0

3 years ago

Read 2 more answers

Which category of mechanical waves are produced during an earthquake?

andre [41]

Answer:

The answer is C. Seismic waves.

Explanation:

<u>Seismic waves are waves of energy that travel through Earth's layers, and are a result of earthquakes.</u>

3 0

2 years ago

An object traveling at a constant speed but with a changing direction is accelerating.

prohojiy [21]

Strange as it may seem, that's true. (choice 'a'.)

"Acceleration" doesn't mean "speeding up". It means ANY change in
the speed or direction of motion. So a car with the brakes applied
and slowing down, and a point on the rim of a bicycle wheel that's
turning at a constant rate, are both accelerating.

6 0

3 years ago

Read 2 more answers