A 12.0 kg bucket is lowered vertically by a rope in which there is 163 N tension at any given instant. What is the acceleration of the bucket? Is it accelerating up or down? Denote the acceleration in m/s2 where up is positive and down is negative.

Answers

Answer 1

Answer:

Answer:

The acceleration of the bucket is 3.77m / S ^ 2 up

Explanation:

Hello,

To solve this exercise we must initially draw the free-body diagram (see attached image) of the bucket, and identify the forces present in this case would be the tension force of the rope and the weight of the bucket.

Then use Newton's law that states that the sum of the forces in a body is equal to mass per accession. We will assume that up is positive and down is negative

T=tension=163N

m=mass of bucket =12kg

g=gravity=9.81m/S^2

T-mg=m(a)

$(T-mg)/(m) =a\n(163N-(12kg)(9.81m/S^2)/(12)=3.77m/s^2$

The acceleration of the bucket is 3.77m / S ^ 2 up

Answer 2

Answer:

Final answer:

The weight of the bucket is 117.6 N. As the tension in the rope is 163 N, which is greater than the weight of the bucket, this means the bucket is accelerating upwards. The acceleration of the bucket, calculated using Newton's Second Law, is 3.78 m/s².

Explanation:

To answer this question, we need to understand the concept of tension and how it relates to the weight of an object and its acceleration according to Newton's Second Law. The tension in the rope (T) equals 163 N, and the weight of the bucket (W) equals its mass (12.0 kg) times acceleration due to gravity (9.8 m/s²), so W = (12.0 kg) (9.8 m/s²) = 117.6 N.

Since the tension is greater than the weight, it means the bucket is accelerating upwards. To calculate the acceleration, we subtract the weight from the tension and divide by the mass. This leaves us with a = (T - W) / m = (163 N - 117.6 N) / 12.0 kg = 3.78 m/s² (upwards, hence positive).

Learn more about Acceleration due to Tension here:

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Answers

Answer:

True

Explanation:

Color is the splitting of light into different spectra. Light, by nature, is monochromatic. This means that it has one wave length. The prism experiment has proved that light has many colors. About 7 colors have been discovered.

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A patient needs to take 625 mg of ibuprofen twice daily. The pills in the bottle are each 250. \rm mg. How many pills does the patient need to take each time she wants the 625 mg dosage? Assume that these pills are scored and can be cut in half if necessary.

Answers

For the patient to take 625mg of Ibuprofen, the person would need to take 2.5 pills each time. Two pills will equal 500mg and taking one half pill would be another 125mg which is equal to 625 mg. Doing this twice a day would equal the 1250mg required in a full day.

How many days will it take for one half of the original amount of a radioactive substance to decay if the half-life is 30 days?a. 3 days
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c. 30 days
d. 60 days

Answers

Answer:

C. 30 years

Explanation:

Half life of a radioactive substance is defined as the time taken by the substance to decay to half of its original value.

The number of days it will take for one half of the original amount of a radioactive substance to decay given the half life of 30 years will be that same 30years according to the half life definition.

According to the formula for half life t1/2 = ln2/¶ where ¶ is the decay constant.

¶ = ln2/t1/2

¶ = ln2/30

¶ = 0.023

Using the radioactivity formula to get the time it will take 1/2 of the original amount to decay, we have;

N/No = e^-¶t where

N/No is the fraction of amount decayed at time t i.e 1/2

Substituting the given values in the equation, we have;

1/2 = e^-0.023t

ln1/2 = lne^-0.023t

ln1/2 = -0.023t

t = ln0.5/-0.023

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C 30 days it answers the question in itself

Which uses the refractive properties of light to separate it into its different wavelengths? A.
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D.
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Answers

A). No. A mirror doesn't separate light into its different wavelengths.

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C). No. When light goes through your glasses, it doesn't separate
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Answers

Answer:

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Explanation:

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