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LiRa [457]
4 years ago
9

A spinning top rotates so that its edge turns at a constant speed of 0.63 m/s. If the top has a radius of 0.10 m, what is the

Physics
2 answers:
pickupchik [31]4 years ago
6 0

Answer:

The answer is 4.0 m/s2

olchik [2.2K]4 years ago
4 0

Answer:

The  centripetal acceleration of the edge of the top 6.3m/s^2

Explanation:

Given:

Speed with which the top rotates =  0.63 m/s

Radius of the top = 0.10 m

To Find:

Centripetal acceleration of the edge of the top =?

Solution:

The centripetal acceleration is the rate at which the tangential velocity changes. Also its direction is always inwards along the radius vector of the circular motion.

We know that centripetal acceleration is

a_c = \frac{v^2}{r}

Where

v = velocity

r = radius

Substituting the values

a_c = \frac{0.63}{0.10}

a_c = 6.3m/s^2

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A baseball catcher puts on an exhibition by catching a 0.15-kg ball dropped from a helicopter at a height of 101 m. What is the
yaroslaw [1]

Answer:

The speed of the ball 1.0 m above the ground is 44 m/s (Answer A).

Explanation:

Hi there!

To solve this problem, let´s use the law of conservation of energy. Since there is no air resistance, the only energies that we should consider is the gravitational potential energy and the kinetic energy. Because of the conservation of energy, the loss of potential energy of the ball must be compensated by a gain in kinetic energy.

In this case, the potential energy is being converted into kinetic energy as the ball falls (this is only true when there are no dissipative forces, like air resistance, acting on the ball). Then, the loss of potential energy (PE) is equal to the increase in kinetic energy (KE):

We can express this mathematically as follows:

-ΔPE = ΔKE

-(final PE - initial PE) = final KE - initial KE

The equation of potential energy is the following:

PE = m · g · h

Where:

PE = potential energy.

m = mass of the ball.

g = acceleration due to gravity.

h = height.

The equation of kinetic energy is the following:

KE = 1/2 · m · v²

Where:

KE = kinetic energy.

m = mass of the ball.

v = velocity.

Then:

-(final PE - initial PE) = final KE - initial KE          

-(m · g · hf - m · g · hi) = 1/2 · m · v² - 0     (initial KE = 0 because the ball starts from rest)  (hf = final height, hi = initial height)

- m · g (hf - hi) = 1/2 · m · v²

2g (hi - hf) = v²

√(2g (hi - hf)) = v

Replacing with the given data:

√(2 · 9.8 m/s²(101 m - 1.0 m)) = v

v = 44 m/s

The speed of the ball 1.0 m above the ground is 44 m/s.

3 0
4 years ago
What is the terminal velocity of a penny falls off a skyscraper
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True or False : All Eukaryotes have cell walls?
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False only some eukaryotes have cell wall like plants, fungi, and some bacteria.
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3 years ago
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What happens to a black body radiator as it increases in temperature?
Luba_88 [7]
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8 0
3 years ago
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Compute the ratio of the rate of heat loss through a single-pane window with area 0.15 m2 to that for a double-pane window with
Rudik [331]

Answer:

2.80321285141

Explanation:

L_g = Thickness of glass = 4.5 mm

k_g = Thermal conductivity of glass = 0.8 W/mK

R_0 = Combined thermal resistance = 0.15\times m^2K/W

L_a = Thickness of air = 6.6 mm

k_a = Thermal conductivity of air = 0.024 W/mK

The required ratio is the inverse of total thermal resistance

\dfrac{2(L_g/k_g)+R_0+(L_a/k_a)}{(L_g/k_g)+R_0}\\ =\dfrac{2(4.5\times 10^{-3}/0.8)+0.15+(6.6\times 10^{-3}/0.024)}{(4.5\times 10^{-3}/0.8)+0.15}\\ =2.80321285141

The ratio is 2.80321285141

4 0
3 years ago
Read 2 more answers
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