A object of mass 33 is dropped from a height of 85 meters. Calculate the average power developed by the object in falling through this distance.Take g as 9.81 m/s^2

give the answer in watts to three significant figures

Answers

Answer 1
Answer: Power  =  Work done  /  Time taken.

Work done =  mgh
Mass, m = 33kg    ( Am presuming it is 33 kg).
h =  85 m.
Work done =  33 * 9.81* 85 =  27517.05  J.

Time taken.
Since object was dropped from height, it fell under gravity.
Using    H =  ut  +  (1/2) * gt^2.              u = 0.
               H =  1/2 gt^2.
               t  =   (2H/g) ^ (1/2)
               t  =  (2*85/9.81) ^ 0.5 =  4.1628 s.

Power  =    27517.05 / 4.1628 = 6610.23 Watts.
             =  6610 W  to  3 S. f.


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A golf club with 65J of kinetic energy strikes a stationary golf ball with a mass of 46g. The energy transfer is only 20% efficient. Calculate the initial speed of the golf ball

Answers

The initial velocity of the ball is v = 23.8 m/s

How to find the initial speed?

We know that kinetic energy is given by:

KE = m*v²/2

Where m is the mass in kg, and we know that the energy transfer is 20% of the intial 65J, then we can write:

0.2*65 = (0.046)*v²/2

Solving this equation for v, the velocity, we get:

v = √[0.2*65*2/0.046]

v = 23.8 m/s

Learn more about kinetic energy:

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kinetic energy of golf club = 65J, 
kinetic energy supplied to golf ball = 20% of 65 = 0.2 * 65 = 13J,
kinetic energy of ball = [mass * Velocity²]/2,
mass = 46gm = 0.046Kg,
[0.046 * V²]/2 = 13, or 0.046 *V² = 26, 
V² = 26/0.046 = 565.22, 
V = 23.77 m/sec = initial velocity of golf ball after hitting.

The average kinetic energy of the atoms that make up a substance which is changing from a liquid to a solid is _____________.Select one of the options below as your answer:
a. decreasing
b. increasing
c. unchanged

Answers

The average kinetic energy of the atoms that make up a substance which is changing from a liquid to a solid is decreasing. The answer is letter A. This  is because there is more room for movement of atoms if the pahse is in liquid than in solid.

What is a statement that summarizes a pattern found in nature? A. a scientific law B. a fact C. a scientific theory D. a hypothesis

Answers

A Scientific law is a statement that summarizes a pattern found in nature.

Further Explanation:

A fact is a natural observation which remains the same for several repeated testing under the same circumstances. But a fact cannot be considered a law because it could be proven wrong at some point.

A scientific law is also a fact with a wider scope of being true as compared to a fact. An observation is categorised as a scientific law only when it is true in each and every condition and has a larger scope of being true.

A scientific theory is an explanation of a natural phenomenon based on the scientific law by several testing and observations. A scientific theory is not always true and it can change for a phenomenon based on the new evidences found.

A hypothesis is a mere prediction of a situation without any testing and observation. It is simply an idea behind any observation and it is yet to be tested whether it holds true for the condition or not.

Therefore, a scientific law is the one that explains the patterns and observed phenomenon in nature and holds true in every situation.

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Answer Details:

Grade: High School

Chapter: Scientific laws and theories

Subject: Physics

Keywords: Statement that summarizes, pattern found in nature, scientific law, scientific theory, fact, hypothesis, wider scope, always true.

A. scientific law is a statement that summarizes a pattern found in nature. It is describes an observed phenomenon and has predictive power: it can describe what will happen given a set of initial conditions.  Often, a scientific law may be expressed as a mathematical equation.

FURTHER EXPLANATION

B. A fact is an observation that is found to be true by repeated testing. Unlike a scientific law, however, a fact has a level of uncertainty. It is only held true until they are proven false. They are also more specific and localized observations compared to scientific laws which are  more general and broad in scope.

C. A scientific theory is an explanation for an observed phenomenon. It attempts to explain in detail why and how an observed phenomenon described  by a  scientific law happens. It is a hypothesis that has been confirmed through time by repeated testing and validation of the scientific community. However, a theory is not set in stone. When new evidence is found that refutes an existing theory, the theory may be changed or abandoned.  

D. A hypothesis is a tentative prediction and explanation about the relationship between two variables – the dependent and independent variables. It is a basic idea and has not been tested yet but will soon be subjected to testing to check whether it holds merit based on the data. Hypotheses may be proven valid or not through testing and experimentation.

LEARN MORE

Keywords: scientific law, theory, fact, hypothesis

A truck is moving around a circular curve at a uniform velocity of 13 m/s. If the centripetal force on the truck is 3300 N and the mass of the truck is 1600 kg, what's the radius of the curve?

Answers

Well, first of all, the truck's velocity is constantly changing, not 'uniform'.
Velocity consists of speed and direction.  So, even if the truck's speed is
constant, its direction keeps changing as long as it's on a circular curve,
so its velocity is constantly changing.

The force needed to keep a mass moving in a circle is

                                 F = (mass) x (speed)² / (radius)
                      
                             3300 N  =  (1600 kg) (13 m/s)² / R

                           3300 kg-m/s²  =  (1600 kg) (169 m²/s²) / R

                           R  =  (1600 kg) · (169 m²/s²) / (3300 kg·m/s²)

                               =  (1600 · 169 / 3300)  meters

                               =        81.9  meters     

The Correct answer to this question for Penn Foster Students is: 81.94m

The term angle of deviation is used in reference to A. a polarizer.
B. a prism.
C. a lens.
D. an analyzer.

Answers

B. a prism.

This is because the term "angle of deviation" is used to describe the angle at which the light bends compared to the normal of the ray of light

If one body is positively charged and another body is negatively charged, free electrons tend toA. remain in the positively charged body.
B. move from the negatively charged body to the positively charged body.
C. remain in the negatively charged body.
D. move from the positively charged body to the negatively charged body.

Answers

Hello, AphCoffee!

B. move from the negatively charged body to the positively charged body

This is because the negative free electrons will be attracted to the positive body and then the electrons will move to the positive body.

Hope this helps :)