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Troyanec [42]
3 years ago
13

Newton's Law of inertia is sufficient to cause a planet to orbit the sun. O True O False

Physics
1 answer:
mario62 [17]3 years ago
7 0
False , inertia is the tendency of a object to not change their state. I have no idea how the orbit around the sun got mixed up in there ....
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A 7.00 g bullet, when fired from a gun into a 1.10 kg block of wood held in a vise, penetrates the block to a depth of 9.60 cm.
kvasek [131]

Explanation:

The given data is as follows.

    Mass of bullet 1, m_{b} = 7 g = 7 \times 10^{-3} kg

   Mass of block of wood, M = 1.10 kg

   Bullet penetrates to depth, x_{1} = 9.60 cm = 9.60 \times 10^{-2} m

  Mass of bullet 2, m_{B} = 7 g = 7 \times 10^{-3} kg

  Velocity of bullet = v

Let us assume that depth of penetration of the bullet is x_{2}.

According to the law of conservation of energy,

            Kinetic energy = Potential energy

        Kinetic energy = \frac{1}{2}mv^{2}

and,       Potential energy = mgh

so, for bullet 1

           \frac{1}{2}m_{b}v^{2}_{1} = m_{b}gx_{1} .......... (1)

For bullet 2,

     Kinetic energy of bullet 1 - kinetic energy of bullet 2 = Potential energy

 \frac{1}{2}m_{b}v^{2}_{1} - \frac{1}{2}(M + m_{b} + m_{B})v^{2}_{2} = m_{b}gx_{2}

Using equation (1), we get

      m_{b}gx_{1} - \frac{1}{2}(M + m_{b} + m_{B})v^{2}_{2} = m_{b}gx_{2}

        x_{2} = \frac{x_{1}(M + m_{b})}{(M + m_{b} + m_{B})}

Putting the given values into the above formula as follows.

        x_{2} = \frac{x_{1}(M + m_{b})}{(M + m_{b} + m_{B})}

                   = \frac{9.60 \times 10^{-2}(1.10 + 7 \times 10^{-3})}{(1.10 + 7 \times 10^{-3} + 7 \times 10^{-3})}

                   = 0.0953 m

or,                = 9.53 cm    (as 1 m = 100 cm)

Thus, we can conclude that the bullet will penetrate at a depth of 9.53 cm.

5 0
3 years ago
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