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Pavlova-9 [17]
3 years ago
14

a motorboat starting from rest on a lake accelerates in a straight line at a constact rate of 3m/s square for 8sec.how far does

the boat travel during this time?
Physics
1 answer:
zimovet [89]3 years ago
4 0
So check it out you can just use the old formula
v =  \frac{d}{t}
instead of deviding distance and time multiply velocity and time
so the formula would be
v \times t = d
3ms \times 8sec = 24m
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Explanation:

The given data is as follows.

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Formula for angular frequency is as follows.

          \omega = \sqrt{\frac{{k}{m}}

    \omega = \sqrt{\frac{{8}{0.160}}

    \omega = 7.07 rad/sec

(a) Formula to calculate the amplitude is as follows.

            \nu_{max} = A \omega

                  A = \frac{\nu}{\omega}

                      = \frac{0.35}{7.07}

                      = 0.05 m

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(b)   Displacement = 0.030 m

Formula for mechanical energy is as follows.

            M.E = \frac{1}{2}kA^{2}

Putting the values into the above formula as follows.

            M.E = \frac{1}{2}kA^{2}

                   = \frac{1}{2} \times 8 \times (0.05)^{2}

                   = 9.8 \times 10^{-3} Joule

For x = 0.03,

As,     P.E = \frac{1}{2} \times kx^{2}

                = \frac{1}{2} \times 8 \times (0.03)

                = 3.6 \times 10^{-3}

Hence, calculate the kinetic energy as follows.

            K.E = M.E - P.E

                  = (9.8 \times 10^{-3} - 3.6 \times 10^{-3}) J

                  = 6.2 \times 10^{-3} J

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Answer:

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The volume of the water, which was initially 100mL changed to 96mL after refrigeration because the volume of water reduces when cool.

<h3>Why does water change in volume?</h3>

Water is a substance that is known for its unique characteristics that makes it stand out among all other liquids.

One notable feature of water is it's ability to become denser when subjected to cooler temperatures i.e. water is more dense when cold.

As water cools or becomes less warm, it contracts and decreases in volume. When water decreases in volume, it becomes more dense.

Therefore, according to this question, it can be said that the volume of the water, which was initially 100mL changed to 96mL after refrigeration because the volume of water reduces when cool.

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