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nekit [7.7K]
4 years ago
14

A sphere of uniform density with mass 21 kg and radius 0.8 m is spinning, making one complete revolution every 0.8 s. the center

of mass of the sphere has a speed of 8 m/s. (a) what is the rotational kinetic energy of the sphere?
Physics
1 answer:
kompoz [17]4 years ago
8 0
Using the equation;
TE = 1/2mv^2(1+2); where k = 2/5 for a solid sphere; V is the velocity, and m is the mass.
Total energy = 0.5 × 21 × 8² (7/5)
                    = 940.8 J
The rotational kinetic energy of the sphere is 940.8 J

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Jose is loading his luggage into his car so that he can go to visit his grandmother. He lifts his suitcase up a 10 m staircase i
maxonik [38]

Answer:

The work done on the suitcase is, W = 600 J

Explanation:

Given,

The average force exerted by Jose on his suitcase,  F = 60 N

Jose carried the suitcase to a distance, S = 10 m

The work done on the suitcase is given by the relation

                           <em>W = F x S</em>

Substituting the given values in the above equation,

                            W = 60 N x 10 m

                                 = 600 J

Hence, the work done on the suitcase is, W = 600 J

3 0
3 years ago
energy expenditure due to physical activity generally accounts for __________ of total energy expenditure.
olga_2 [115]

Answer:

Energy expenditure due to physical activity generally accounts for 20% of total energy expenditure.

Explanation:

The total amount of energy your body uses daily is usually divided as follows:

1. Your Basal Metabolic Rate at rest  (50-70%)

Basal Metabolic Rate is the number of calories required to keep your body      functioning at rest

2. Consumption by your daily physical activities (20%)

3. Energy to digest food. (10-20%)

This energy has to be deducted from the overall energy content of the food itself.

Then, the answer is:

Energy expenditure due to physical activity generally accounts for 20% of total energy expenditure.

6 0
3 years ago
If an R = 1-kΩ resistor, a C = 1-μF capacitor, and an L = 0.2-H inductor are connected in series with a V = 150 sin (377t) volts
fgiga [73]

Answer

given,

R = 1-kΩ  = 1000 Ω

C = 1-μF

L = 0.2-H

V = V_max sin( ω t)

comparing

V = 150 sin ( 377 t)

ω = 377

\chi_c = \dfrac{1}{\omega C}

\chi_c = \dfrac{1}{377 \times 1 \times 10^{-6}}

\chi_c = 2652.5\Omega

\chi_L =377 \times 0.2

\chi_L =75.4\ \Omega

Impedance,

Z = \sqrt{R^2+(\chi_L-\chi_c)^2}

Z = \sqrt{1000^2+(75.4 -2652.5)^2}

Z = 2764.3 Ω

now,

V_{max} = 150 V

I_{max} = \dfrac{V}{Z}

I_{max} = \dfrac{150}{2764.3}

I_{max} = 0.0543

I_{max} = 54.3\ mA

3 0
3 years ago
A unit is an amount used to measure something True or false
Neporo4naja [7]

I do not know

hi I thinks the answer is Tralse

7 0
4 years ago
A 12.0-m wire with a mass of 145 g is under tension. A transverse wave, for which the frequency is 630 Hz, the wavelength is 0.5
miskamm [114]

Answer:

The maximum traverse acceleration is   \alpha = 31346.095 m/s^2

Explanation:

Generally the maximum transverse acceleration is mathematically represented as

                   \alpha =  w^2 A

Where w is the angular velocity which is mathematically evaluated as

                 w = 2 \pi f

Substituting the values given in the question

               w = 2 * 3.142 * 630

                   = 3958.92 rad/s

  A is the A is amplitude with a value of 2.0mm = \frac{2}{1000} = 0.002m

         Substituting this into the formula for maximum transverse acceleration

                              \alpha  = 3958.96^2 * 0.002

                                  = 31346.095 m/s^2

4 0
3 years ago
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