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ira [324]
3 years ago
14

A solid sphere has a radius of 0.200 m and a mass of 150.0 kg. how much work is required to get the sphere rolling with an angul

ar speed of 50.0 rad/s on a horizontal surface? assume that the sphere starts from rest and rolls without slipping.
Physics
1 answer:
Allisa [31]3 years ago
7 0

Here in this case we can use work energy theorem

As per work energy theorem

Work done by all forces = Change in kinetic Energy of the object

Total kinetic energy of the solid sphere is ZERO initially as it is given at rest.

Final total kinetic energy is sum of rotational kinetic energy and translational kinetic energy

KE = \frac{1}{2}Iw^2 +\frac{1}{2} mv^2

also we know that

I = \frac{2}{5}mR^2

w= \frac{v}{R}

Now kinetic energy is given by

KE = \frac{1}{2}(\frac{2}{5}mR^2)w^2 +\frac{1}{2} m(Rw)^2

KE = \frac{1}{5}mR^2w^2 +\frac{1}{2} mR^2w^2

KE = \frac{7}{10}mR^2w^2

KE = \frac{7}{10}*150*(0.200)^2(50)^2

KE = 10500 J

Now by work energy theorem

Work done = 10500 - 0 = 10500 J

So in the above case work done on sphere is 10500 J

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
lara [203]
<h2>Answer:</h2>

The speed of the sound wave is 340 m/s. The correct option is C.

<h3>Explanation:</h3>

Here in question description the frequency and wave length is given and we have to find the velocity/speed of the sound wave.

Frequency is the time taken for the passage of one wave. Wavelength is the total length of crust and trough in meters.

The velocity is the product of frequency and wavelength.

V =  λ ∙ f

By putting the values in given formula:

v = 100 Hz × 3.4 m = 340 m/s

Hence the speed of the wave is 340 m/s.

8 0
3 years ago
Select the correct equations that show that a freely falling rock drops a distance of 80 m when it falls from rest for 4 s .
kiruha [24]

Answer:

1 and 4

Explanation:

5 0
3 years ago
Your fingernail grows at a rate of about 0.1 mm per day. How many inches do your fingers grow per year?
forsale [732]

Answer:

1.44

Explanation:

0.1mm x 365 = 3.65mm

3.65mm into inches is 1.44

6 0
3 years ago
Two protons (each with q = 1.60 x 10-19)
otez555 [7]

Answer:

230.4 N

Explanation:

From the question given above, the following data were obtained:

Charge (q) of each protons = 1.6×10¯¹⁹ C

Distance apart (r) = 1×10¯¹⁵ m

Force (F) =?

NOTE: Electric constant (K) = 9×10⁹ Nm²/C²

The force exerted can be obtained as follow:

F = Kq₁q₂ / r²

F = 9×10⁹ × (1.6×10¯¹⁹)² / (1×10¯¹⁵)²

F = 9×10⁹ × 2.56×10¯³⁸ / 1×10¯³⁰

F = 2.304×10¯²⁸ / 1×10¯³⁰

F = 230.4 N

Therefore, the force exerted is 230.4 N

5 0
2 years ago
If a car has an initial velocity of 20 m/s and accelerates at 2.0 m/s2 for 100 m, what is its final velocity?
rodikova [14]

Answer:

28.28 ms-1

Explanation:

v² = u² + 2as

v² = 20² + 2×2×100

v²= 800

v = 28.28 ms-1

3 0
3 years ago
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