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Andrei [34K]
3 years ago
15

An athlete prepares to throw a 2.0-kilogram discus. His arm is 0.75 meters long. He spins around several times with the discus a

t the end of his out-stretched arm so that the discus reaches a velocity of 5.0 m/s. What is the centripetal force acting on the discus?
Physics
1 answer:
True [87]3 years ago
8 0
The centripetal force acting on ball will be = mass x radial acceleration
radial acceleration = v²/radius of the discuss performing circular motion
                              =  5²/0.75 = 33.33 m/s²

Therefore, centripetal force = mass x radial acceleration = 2 x 33.33
                                                                                          = 66.66 N. 
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An open rectangular tank 1 m wide and 2 m long contains gasoline to a depth of 1 m. If the height of the tank sides is 1.5 m, wh
lara [203]

Answer:

a_y = 4.9\ m/s^2

Explanation:

Given,

Width of rectangular tank, b = 1 m

Length of the tank, l = 2 m

height of the tank, d = 1.5 m

Depth of gasoline on the tank, h = 1 m

\dfrac{dz}{dy}=-\dfrac{1.5-1}{1}

\dfrac{dz}{dy}=-0.5

The differential form with the acceleration

\dfrac{dz}{dy}=\dfrac{-a_y}{a_z + g}

-0.5=-\dfrac{a_y}{a_z + g}

acceleration in z-direction = 0 m/s²

g = 9.8 m/s²

a_y is the horizontal acceleration of the gasoline.

0.5=\dfrac{a_y}{0 + 9.8}

a_y = 9.8\times 0.5

a_y = 4.9\ m/s^2

Hence, Horizontal acceleration of the gasoline before gasoline would spill is equal to 4.9 m/s²

3 0
3 years ago
A river has a steady speed of 0.500 m/s. a student swims upstream a distance of 1.00 km and swims back to the starting point. (a
Varvara68 [4.7K]
A. Upstream refers to the motion of the swimmer where he is against the current. The resultant speed of the swimmer is equal to the difference of the velocity or speed in still water and that of the river. The time it requires to cover the distance is calculated through the equation,
               t = d / s
where t is time, d is distance, and s is speed. Substituting the known values,
             t = 1000 m / (1.2 m/s - 0.5 m/s) = 1,428.57 seconds

(b) The time it requires for the swimmer to swim in still water,
            t = 1000 m / (1.2 m/s) = 833.33 seconds

(c) Intuitively, it takes longer to cover the distance when there is current because the current will serve as resistance to the motion of the swimmer, partially moving it backwards instead of forward. 


3 0
3 years ago
I have an object that I want to know when it was made. I calculate that the object contains 0.12g of Iodine-131 but started with
Sav [38]

Answer: 71.72 days

Explanation:

This problem can be solved using the <u>Radioactive Half Life Formula: </u>

A=A_{o}.2^{\frac{-t}{h}} (1)  

Where:  

A=0.12 g is the final amount of Iodine-131

A_{o}=60 g is the initial amount of Iodine-131

t is the time elapsed  

h=8 days is the half life of Iodine-131

Knowing this, let's substitute the values and find t from (1):

0.12 g=(60 g)2^{\frac{-t}{8 days}} (2)  

\frac{0.12 g}{60g}=2^{\frac{-t}{8 days}} (3)  

Applying natural logarithm in both sides:

ln(\frac{0.12 g}{60g})=ln(2^{\frac{-t}{8 days}}) (4)  

-6.21=-\frac{t}{8 days}ln(2) (5)

Finding t:

t=71.72 days

7 0
3 years ago
Which describes the difference between ionic and covalent bonds?
Sav [38]
I think the answer would be A
8 0
2 years ago
1 point
ioda

Answer:

different temperatures

Explanation:

The independent variable would be <u>different temperatures</u>.

<u>The independent variable is the variable that is manipulated or varied in an experiment in order to see the effects it will produce on another variable</u> - the dependent variable. The values of the independent variable are directly inputted by the researcher and are not changed by any other variable throughout the experiment.

In the illustration, the effect of a variation in temperature is determined by counting the number of yeast cells. This showed that the manipulated variable is the temperature and hence, the independent variable.

6 0
3 years ago
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