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aliya0001 [1]
4 years ago
15

Students run an experiment to determine the rotational inertia of a large spherically shaped object around its center. Through e

xperimental data, the students determine that the mass of the object is distributed radially. They determine that the radius of the object as a function of its mass is given by the equation r = km², where k = 3.
Which of the following is a correct expression for the rotational inertia of the object?

(A) m3
(B) 1.8 m3
(C) 3.6 m3
(D) 6 m3
(E) 9 m3
Physics
1 answer:
Alex73 [517]4 years ago
5 0

Answer: I = 3.6 m3

(C)

Explanation:

moment of inertia for spherically shaped object around it's center is given as

I = (2/5) mr²

substituting the r = 3m²

I = (2/5)*(9) m3

I = 3.6 m3

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h(t) = - 16t2 + 64t + 112 where t is the time in seconds. After how many seconds does the arrow reach it maximum height? Round t
laila [671]

Answer:

2 seconds

Explanation:

The function of height is given in form of time. For maximum height, we need to use the concept of maxima and minima of differentiation.

h(t)=-16t^{2}+64t+112

Differentiate with respect to t on both the sides, we get

\frac{dh}{dt}=-32t+64

For maxima and minima, put the value of dh / dt is equal to zero. we get

- 32 t + 64 = 0

t = 2 second

Thus, the arrow reaches at maximum height after 2 seconds.

8 0
3 years ago
The power in an electrical circuit is given by the equation p=/2 R, where /is the current flowing through the circuit and R is t
zzz [600]

Complete Question:

What is the power in a circuit that has a current of 12 amps and a resistance of 100 ohms?

Answer:

D. 14,400 watts

Explanation:

The electrical power of an electric circuit can be defined as a measure of the rate at which energy is either produced or absorbed in the circuit.

Mathematically, electrical power is given by the formula;

Electrical \; power = current * voltage

This ultimately implies that, the quantity (current times voltage ) is electrical power and it is measured (S.I units) in Watt (W).

<u>Given the following data;</u>

  • Current = 12 Amperes
  • Resistance = 100 Ohms

To find the power in the circuit, we would use the following formula;

Power = I²R

Where;

  • I is current measured in Amperes.
  • R is resistance measured in Ohms.

Power = 12² * 100

Power = 144 * 100

<em>Power = 144,000 Watts</em>

4 0
3 years ago
According to this perspective, our personality is due to past, unresolved conflicts
lyudmila [28]

Answer: Correct, but I do not understand the question here. Yes, our personality is due to past unresolved conflicts. During my middle years, I was developing BPD without even knowing it, but that time period was very difficult. Now it is much less severe, however the wound remains unhealed.

5 0
3 years ago
A rock is dropped from a vertical cliff. The rock takes 3.00 s to reach the ground below the cliff. A second rock is thrown vert
Phantasy [73]

Answer:

Velocity v= 12.25 \frac{m}{s}

Explanation:

The first rock dropped give the distance Y in meters

Y_{f}=Y_{o}+v_{o}*t +\frac{1}{2}*a*t^{2}\\   Y_{f}=\frac{1}{2}* 9.8 \frac{m}{s^{2} }* 3^{2}   \\Y_{f}=44.1 m

Now the motion of the second rock the time change so to know the velocity

Y_{f}= Y_{o} +v_{o}*t +\frac{1}{2}*a *t^{2} \\v_{o}*t= -Y_{f} +\frac{1}{2} *a*t^{2} \\v_{o} =\frac{-44.1 +0.5 * 9.8* s^{2} }{2} \\v_{o}=  12.25 \frac{m}{s}

7 0
3 years ago
Water occupies two main fluid compartments within the body, the intracellular fluid compartment and the extracellular fluid comp
nadezda [96]

Answer:

C. Approx. Two thirds of the water is in the ICF compartment

Explanation:

The body cells are bathed in fluids internally and externally. The water inside the cells make up about 42% of the total body weight and is called the intracellular fluid (ICF). The rest of the fluid outside the cells is called extracellular fluid (ECF) and is separated from the intracellular fluid by a semipermeable membrane that surrounds the cell, and only allows fluid to flow in and out of the cells, but prevents unwanted molecules or materials from getting in.

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3 years ago
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