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mina [271]
3 years ago
6

A baseball pitcher throws a baseball horizontally at a linear speed of 42.5 m/s (about 95 mi/h). Before being caught, the baseba

ll travels a horizontal distance of 16.5 m and rotates through an angle of 49.0 rad. The baseball has a radius of 3.67 cm and is rotating about an axis as it travels, much like the earth does. What is the tangential speed of a point on the "equator" of the baseball?
Physics
1 answer:
Marina CMI [18]3 years ago
5 0

Answer:

4.5m/s

Explanation:

Linear speed (v) = 42.5m/s

Distance(x) = 16.5m

θ= 49.0 rad

radius (r) = 3.67 cm

= 0.0367m

The time taken to travel = t

Recall that speed = distance / time

Time = distance / speed

t = x/v

t = 16.5/42.5

t = 0.4 secs

tangential velocity is proportional to the radius and angular velocity ω

Vt = rω

Angular velocity (ω) = θ/t

ω = 49/0.4

ω = 122.5 rad/s

Vt = rω

Vt = 0.0367 * 122.5

Vt =4.5 m/s

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Calculate the total energy transferred when 200 g of ice cubes at 0°C are changed to steam at 100°C.
uranmaximum [27]

Answer:

604000\ \text{J}

Explanation:

m = Mass of ice = 200 g

\Delta T = Temperature change of water = (100-0)^{\circ}\text{C}

c = Specific heat capacity of water = 4200 J/kg °C

L_f = Specific latent heat of fusion = 340 kJ/kg

L_v = Specific latent heat of vaporisation = 2260 kJ/kg

Heat required to convert ice to water = mL_f

Heat required to raise the temperature of water to boiling point = mc\Delta T

Heat required to convert water to steam = mL_v

Total heat required

q=mL_f+mc\Delta T+mL_v\\\Rightarrow q=m(L_f+c\Delta T+L_v)\\\Rightarrow q=0.2(340\times 10^3+4200(100-0)+2260\times 10^3)\\\Rightarrow q=604000\ \text{J}

Heat required to convert the given amount of ice to steam at the required temperature is 604000\ \text{J}.

7 0
3 years ago
During the _____ developmental stage children are drawing their thoughts instead of merely observations.
Maru [420]

Answer:

D. pre schematic

Explanation:

During the _pre schematic____ developmental stage children are drawing their thoughts instead of merely observations.

Pre schematic stage in children is the age at which they drawing, symbols, spatial figures to express themselves. Their becomes more complex and full of lines as they age. They use single base lines, multiple base lines and fold up views.

7 0
3 years ago
Electromagnets are created by (2 points)
KIM [24]

I believe the correct answer is B

5 0
3 years ago
What activity in orienteering can improve a player's math skills?
erica [24]

homework

or just play some 2012 math game

6 0
3 years ago
Please do not round the numbers
slamgirl [31]

Answer:

1)   λ = 24.7 cm,  2) f = 13.88 Hz, 3)  L = 117.3 cm

Explanation:

1) This is a resonance process, that is, the wave going downwards will interfere with the wave going upwards.

This is a tube with one end closed and the other open, at the closed end there is a node and at the open end a belly, so the resonances are

       L = λ / 4

       λ = 4L                     1st harmonic

       λ = 4L / 3                third harmonic

       λ = 4L / 5                fifth harmonic

       λ = 4L / n ’              n’ odd number   n ’= (2n +1)

the wavelength is requested for the eighth resonance n = 8, the corresponding prime number is

          n ’= 2 8 +1

          n ’= 17

we substitute

     λ = 4 105/17

     λ = 24.7 cm

2) the speed of the wave is related to the wavelength and frequency

          v =   λf

          f = v /λ

          f = 343 / 24.7

          f = 13.88 Hz

3) the next resonance occurs for n = 9, so the prime number is

         n ’= 2 9 +1

         n ’= 19

         L = n’ λ / 4

       

         L = 19 λ / 4  

We must suppose a value for the wavelength, if the wavelength is present in the tube and the length of the column increases, the resonance number increases

         L = 19 24.7/4

         L = 117.3 cm

8 0
3 years ago
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