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7 days ago

15

One end of a string is fixed. An object attached to the other end moves on a horizontal plane with uniform circular motion of ra

dius R and frequency f. The tension in the string is Fs . If both the radius and frequency are doubled, the tension is what

1 answer:

ValentinkaMS [3.4K]7 days ago

5 0

When both the frequency and radius are increased to double their original values, the resulting tension goes up by a factor of 8.

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Two planets having equal masses are in circular orbit around a star. Planet A has a smaller orbital radius than planet B. Which

serg [3582]

Answer:

Explanation:

To approach this problem, we need to understand two key concepts.

First, the gravitational force on an object in orbit equals its mass multiplied by centripetal acceleration.

Secondly, Newton's law of universal gravitation defines the force between two masses: Fg = mMG/r², where Fg denotes gravitational force, m and M signify the masses, G represents the gravitational constant, and r indicates the distance separating the two masses.

Thus:

Fg = m v²/r

mMG/r² = m v²/r

v² = MG/r

Potential energy for each planet is expressed as:

PE = mgr = m (MG/r²) r = mMG/r

Kinetic energy for each planet is computed as:

KE = 1/2 mv² = 1/2 m (MG/r) = 1/2 mMG/r

Total mechanical energy is calculated as:

ME = PE + KE = 3/2 mMG/r

Since both planets share the same mass, the only variable is their orbital radius. Consequently, Planet A, with a smaller radius, possesses greater potential, kinetic, and mechanical energy.

6 0

1 month ago

If the diameter of a hole is 4.500 mm, what should be the diameter of a rivet at 23.0 ∘C, if its diameter is to equal that of th

kicyunya [3294]

Answer:

Explanation:

at 23 degrees Celsius, the diameter measures 4.511 mm

GIVEN DATA:

diameter of hole = 4.500 mm

T_1 = 23.0 degrees Celsius

T_2 = - 78.0 degrees Celsius

the expansion coefficient of aluminum is 2.4*10^{-5} (degrees Celsius)^{-1}

the diameter at 23 degrees Celsius is stated as

$d = d_o (1+ \alpha \delta T)$

$= 4.5 (1+2.4*10^{-5} *(23-(-78)))$

= 4.511 mm

the diameter of the rivet after temperature change is given as

$d= d_o + \Delta d$

$= d_o(1+ \alpha \delta T)$

$= 0.4500 *(1+2.4*10^{-5} *(23-(-78)))$

= 0.4511 cm

8 0

22 days ago

Imagine you are a water molecule, carbon atom, or nitrogen atom that is inside a cow. Write a brief explanation of how you got f

Maru [3345]

Answer:

Explanation:

Each of the processes connected to these molecules varies.

For instance, water that has accumulated in the atmosphere returns to the ground as rain. Cows utilize this water from local water sources. This represents one method in which water transitions from the atmosphere to the cow's body.

Regarding carbon and nitrogen, the air inhaled by cows contains nitrogen, oxygen, carbon dioxide, and other gases. These molecules enter the cow through respiration.

6 0

1 month ago

A plane flying at 70.0 m/s suddenly stalls. If the acceleration during the stall is 9.8 m/s2 directly downward, the stall lasts

ValentinkaMS [3465]

Answer:

v = 66.4 m/s

Explanation:

We know that the aircraft starts off moving at a speed of

$v = 70 m/s$

now we have

$v_x = 70 cos25$

$v_x = 63.44 m/s$

$v_y = 70 sin25$

$v_y = 29.6 m/s$

in the Y direction, we can apply kinematic equations

$v_y = v_i + at$

$v_y = 29.6 - (9.81 \times 5)$

$v_y = -19.5 m/s$

as there is no acceleration along the x-axis, the velocity in this direction remains unchanged

thus yielding

$v = \sqrt{v_x^2 + v_y^2}$

$v = \sqrt{63.44^2 + 19.5^2}$

$v = 66.4 m/s$

4 0

1 month ago

Determine whether each substance will sink or float in corn syrup, which has a density of 1.36 g/cm3. Write “sink” or “float” in

Sav [3153]

Explanation:

A substance will float if it has a lower density than the liquid it is placed in.
A substance will sink if its density exceeds that of the liquid.

Density of corn syrup = $1.36 g/cm^3$

1) Density of gasoline = $0.748 g/cm^3$

Gasoline's density is less than that of corn syrup, indicating it will float in corn syrup.

2) Density of water = $1 g/cm^3$

Water's density is also less than that of corn syrup, meaning it will float in corn syrup.

3) Density of honey = $1.45 g/cm^3$

Honey's density exceeds that of corn syrup, so it will sink in corn syrup.

4) Density of titanium = $4.506 g/cm^3$

The density of titanium is greater than that of corn syrup, hence it will sink in corn syrup.

3 0

1 month ago

Read 2 more answers