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coldgirl [10]
3 years ago
13

A bowling ball that has a radius of 11.0 cm and a mass of 5.00 kg rolls without slipping on a level lane at 2.80 rad/s.

Physics
1 answer:
NemiM [27]3 years ago
4 0

Answer:

\dfrac{K_t}{K_r}=\dfrac{5}{2}

Explanation:

Given that,

Mass of the bowling ball, m = 5 kg

Radius of the ball, r = 11 cm = 0.11 m

Angular velocity with which the ball rolls, \omega=2.8\ rad/s

To find,

The ratio of the translational kinetic energy to the rotational kinetic energy of the bowling ball.

Solution,

The translational kinetic energy of the ball is :

K_t=\dfrac{1}{2}mv^2

K_t=\dfrac{1}{2}m(r\omega)^2

K_t=\dfrac{1}{2}\times 5\times (0.11\times 2.8)^2

The rotational kinetic energy of the ball is :

K_r=\dfrac{1}{2}I \omega^2

K_r=\dfrac{1}{2}\times \dfrac{2}{5}mr^2\times \omega^2

K_r=\dfrac{1}{2}\times \dfrac{2}{5}\times 5\times (0.11)^2\times (2.8)^2

Ratio of translational to the rotational kinetic energy as :

\dfrac{K_t}{K_r}=\dfrac{5}{2}

So, the ratio of the translational kinetic energy to the rotational kinetic energy of the bowling ball is 5:2

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Kinetic energy and mass are ________ proportional.
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Answer:

The Kinetic energy and mass are _directly_ proportional.

Explanation:

We know that Kinetic Energy is basically termed as the capacity of a body to do work.

Kinetic energy is often used to associate with moving objects, therefore, K.E is normally termed as the energy of motion.

The formula of K.E of an object of mass and velocity is defined

K.E = 1/2mv²

From the formula, it is clear that K.E is directly proportional to its mass and also directly proportional to the square of its velocity.

For example,

If A toy plane with a mass of 10 kg is flying at 20 m/s. Its K.E will be:

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  • v = 20 m/s

K.E = 1/2mv²

      = 1/2(10)(20)²

      = 1/2(10)(400)

       = 5(400)

      = 2000 J

Now, let suppose, if we double the mass of a toy plane i.e.

m = 20 kg

so

K.E = 1/2mv²

      = 1/2(20)(20)²

      = 1/2(20)(400)

      = 10(400)

      = 400 J

Therefore, the K.E is doubled when doubled the mass.

Therefore, the Kinetic energy and mass are _directly_ proportional.

9 0
2 years ago
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The question is incomplete. The complete question is :

A platypus foraging for prey can detect an electric field as small as 0.002 N/C.

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Solution :

Given electric field,  E = 0.002 N/C

Charge, Q = + 80 nC

$\therefore E = \frac{kQ}{R^2} $

or $R^2=\frac{kQ}{E}$

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Answer:

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Explanation:

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