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kobusy [5.1K]
3 years ago
6

A drill has a density of 11.342 g/cm3. Its mass is 1500 g. What is the volume of the drill? Round to TWO decimal places.

Physics
1 answer:
Andrews [41]3 years ago
3 0

Explanation:

11.342=1500/ volume

volume=1500/11.342

volume=132.25cm³

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The kinetic energies of particles in a sample of matter are increasing. This sample is most likely
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A sphere moves in simple harmonic motion with a frequency of 4.80 Hz and an amplitude of 3.40 cm. (a) Through what total distanc
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Answer:

a)  the total distance traveled by the sphere during one cycle of its motion = 13.60 cm

b) The maximum speed is = 102.54 cm/s

The maximum speed occurs at maximum excursion from equilibrium.

c)  The maximum magnitude of the acceleration of the sphere is = 30.93 m/s^2

The maximum acceleration occurs at maximum excursion from equilibrium.

Explanation:

Given that :

Frequency (f) = 4.80 Hz

Amplitude (A) = 3.40 cm

a)

The total distance traveled by the sphere during one cycle of simple harmonic motion is:

d = 4A   (where A is the Amplitude)

d = 4(3.40 cm)

d = 13.60 cm

Hence, the total distance traveled by the sphere during one cycle of its motion = 13.60 cm

b)

As we all know that:

x = Asin \omega t

Differentiating the above expression with respect to x ; we have :

\frac{d}{dt}(x) = \frac{d}{dt}(Asin \omega t)

v = A \omega cos \omega t

Assuming the maximum value of the speed(v) takes place when cosine function is maximum and the maximum value for cosine function is 1 ;

Then:

v_{max} = A \omega

We can then say that the maximum speed therefore occurs at the mean (excursion) position where ; x = 0  i.e at maximum excursion from equilibrium

substituting 2 \pi f for \omega in the above expression;

v_{max} = A(2 \pi f)

v_{max} = 3.40 cm (2 \pi *4.80)

v_{max} = 102.54 \ cm/s

Therefore, the maximum speed is = 102.54 cm/s

The maximum speed occurs at maximum excursion from equilibrium.

c) Again;

v = A \omega cos \omega t

By differentiation with respect to  t;

\frac{d}{dt}(v) = \frac{d}{dt}(A \omega cos \omega t)

a =- A \omega^2 sin \omega t

The maximum acceleration of the sphere is;

a_{max} =A \omega^2

where;

w = 2 \pi f

a_{max} = A(2 \pi f)^2

where A= 3.40 cm = 0.034 m

a_{max} = 0.034*(2 \pi *4.80)^2

a_{max} = 30.93 \ m/s^2

The maximum magnitude of the acceleration of the sphere is = 30.93 m/s^2

The maximum acceleration occurs at maximum excursion from equilibrium where the oscillating sphere will have maximum acceleration at the turning points when the sphere has maximum displacement of x  = \pm A

6 0
3 years ago
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