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3 years ago

What is the force due to gravity of a 38 kg student?

Physics

1 answer:

alukav5142 [94]3 years ago

6 0

Answer:

F_g = 372.78 N

Explanation:

Formula for force of gravity is;

F_g = mg

Where;

m is mass

g is acceleration due to gravity

We are given;

Mass = 38 kg

Acceleration due to gravity has a constant value of 9.81 m/s²

Thus;

F_g = 38 × 9.81

F_g = 372.78 N

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Diagnostic ultrasound of frequency 4.50 MHz is used to examine tumors in soft tissue. (a) What is the wavelength in air of such

mafiozo [28]

(a) $7.62 \times 10^{-5} m$ is the wavelength in air of such a sound wave.

(b) $3.33 \times 10^{-4}\ m$ is the wavelength of this wave in tissue.

Explanation:

Frequency and wavelength can be related by the equation,

Velocity = Wavelength x Frequency

$v=\lambda \times f$

where,

v - velocity of light for all EM (electromagnetic) waves in vacuum

Given:

f - 4.50 MHz = $4.50 \times 10^{6} \mathrm{Hz}$

a) To find the wavelength in air

We know,

Speed of sound in air = 343 m/s

Apply given frequency and speed of sound in air, we get

$\lambda=\frac{v}{f}=\frac{343}{4.5 \times 10^{6}}=76.2 \times 10^{-6}=7.62 \times 10^{-5}\ \mathrm{m}$

b) If the speed of sound in tissue is 1500 m/s, find the wavelength of this wave in tissue

Speed of sound in tissue, v = 1500 m/s

$\lambda=\frac{v}{f}=\frac{1500}{4.5 \times 10^{6}}=333.33 \times 10^{-6}=3.33 \times 10^{-4} \mathrm{m}$

4 0

3 years ago

Find the resultant gravitational force exerted on the object at the origin by the other two objects. The universal gravitational

VladimirAG [237]

Answer:

The resultant gravitational force is $7.76\times10^{-11}\ N$

Explanation:

Suppose A coordinate system is constructed on the surface of a pool table, and three objects are placed on the coordinate system as follows: a 1.2 kg object at the origin, a 3 kg object at (0 m,1.8 m), and a 4.6 kg object at (4 m,0 m).

We need to calculate the gravitational force along x axis

Using formula of gravitational

$F_{1}=\dfrac{GmM}{r^2}$

Where, m = mass of first object

M = mass of object when placed at center

r = distance

G = gravitational constant

Put the value into the formula

$F_{1}=\dfrac{6.672\times10^{-11}\times1.2\times4.6}{(4)^2}$

$F_{1}=2.301\times10^{-11}\ N$

We need to calculate the gravitational force along y axis

Using formula of gravitational

$F_{2}=\dfrac{Gm_{1}M}{r^2}$

Put the value into the formula

$F_{2}=\dfrac{6.672\times10^{-11}\times1.2\times3}{(1.8)^2}$

$F_{2}=7.413\times10^{-11}\ N$

We need to calculate the resultant gravitational force

Using formula of resultant gravitational force

$F_{net}=\sqrt{(F_{1}^2+F_{2}^2)}$

$F_{net}=\sqrt{(2.301\times10^{-11})^2+(7.413\times10^{-11})^2}$

$F_{net}=7.76\times10^{-11}\ N$

Hence, The resultant gravitational force is $7.76\times10^{-11}\ N$

7 0

3 years ago

an eco friendly hotel is under construction. Which strategies will help hotel management reach its goal of being eco friendly

uysha [10]

Answer:

To reach the goal to be Eco friendly, the designer must not harm the ecosystem of surrounding in any ways.

Explanation:

Friendly design means that the hotel must not harm the surrounding ecosystem in any way.
The hotels' energy consumption shall be fulfilled by the use of renewable resources like solar, wind energy, etc.
Proper disposal of wastage is the most important term.
No, chemicals are used inside the premises of the hotel for any purpose of cleaning, washing, etc.
The designer must place a garden with grass, trees, and flowers for the fresh air of the hotel.

3 0

3 years ago

What is the strength of the electric field in a region where the electric potential is constant?

Roman55 [17]

Answer:

Where the electric potential is constant, the strength of the electric field is zero.

Explanation:

As a test charge moves in a given direction, the rate of change of the electric potential of the charge gives the potential gradient whose negative value is the same as the value of the electric field. In other words, the negative of the slope or gradient of electric potential (V) in a direction, say x, gives the electric field (Eₓ) in that direction. i.e

Eₓ = - dV / dx ----------(i)

From equation (i) above, if electric potential (V) is constant, then the differential (which is the electric field) gives zero.

Therefore, a constant electric potential means that electric field is zero.

4 0

3 years ago

To measure the height of a building without a ruler or tape measure, an engineer drops a rock off the top of the building and fi

serg [7]

The relevant equation we can use in this problem is:

h = v0 t + 0.5 g t^2

where h is height, v0 is initial velocity, t is time, g is gravity

Since it was stated that the rock was drop, so it was free fall and v0 = 0, therefore:

h = 0 + 0.5 * 9.81 m/s^2 * (4.9 s)^2

h = 117.77 m

6 0

3 years ago