At the end of the ride up a steep hill, Ken was at an elevation of 1600 meters above where he started. He figured out that he and his bicycle had accomplished 1,000,000 joules of work. If Ken has a mass of 52 kg, what is the mass of his bicycle?

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

first place)

in first place you must Know by definition that a joule is defined as the amount of work done by a constant force in a meter of length

and it is 1 J = 1 N ×m = 1 kg ×m/s² ×m= 1 Kg×m²/s²

now you can calculate the time done by ken and his bicycle

1000000 = 52kg×(1600)²/s² = 1000000= 133120000/s²⇒1000000s² = 133120000⇒s²= 133120000/1000000⇒ s² =133,12⇒s =√133,12 = 11,5≅12

12 s is the time that ken with his bicycle ride up to the mountain

second )

having the time you can calculate the work done by ken individually

52kg×(1600)²/(12)² =133120000/ (12)² = 924444,4 and this is the work done by ken

Now you must substract the work done by ken and his bicycle from the work done by ken individually in order to know the work of the bicycle

1000000 joules -924444,4 joules = 75555,6 joules

Having this amount, you can calculate the mass of the bicycle

and it is 1 J = 1 N ×m = 1 kg ×m/s² ×m= 1 Kg×m²/s²

75555,6 = kg *(1600)²/(12)²⇒ 75555,6 =17777,7kg⇒ Kg = 75555,6/17777,7 = 4,25 kg

the mass of the ken's bicycle is 4,25 kg

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Tate has 5 more than twice as many pennies as Mia. If Mia hasx pennies, how many does does Tate have?

Answers

Answer:

Tate has 2x + 5 pennies.

Step-by-step explanation:

W are given that

Number of pennies that Mia has is x.

we have to find Number of pennies that Tate has.

Given Statement says Tate has 5 more than twice as many as Mia.

according to it, we have

Twice as many as Mia = 2x

5 more means 2x + 5

Therefore, Tate has 2x + 5 pennies.

Tate = 2m+5

m = 6

2(6)+5 = 17.

HELP PLEASE The average high temperatures in degrees for a city are listed.

58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57

If a value of 60° is added to the data, how does the median change?

The median stays at 80°.
The median stays at 79.5°.
The median decreases to 77°.
The median decreases to 82°.

Answers

Answer:

The median would decrease to 77.

Step-by-step explanation:

order the numbers from least to most and find the middle numbers then divide by 2.

Without the value of 60 the median would be 79.5, however if we were to add the temperature of 60 into the data, the median would decrease to 77.

Answer: The median decreases to 77.

spherical water storage tank has a radius of 10 ft. a cubic foot of water is about 7.5 gallons. How many gallons of water will the tank hold?

Answers

Volume of a sphere = (4/3) π (radius)³

Volume of this tank = (4/3) π (10-ft)³ cubic feet

At 7.5 gallons per cubic foot, that's 31,416 gallons .

What is 1/5 + 2/3 + 4/15?

Answers

to solve this you would need to make all fractions like fractions and when you do this you should get 1 1/15

It is 17/15 or 1.13 (run on 3)

Which is an equation of the line parallel to - 2x + y = 6 that contains thepoint (0, 2)?

A: -x – 2y = -4
B: -x – 2y = -2
C: -2x+y= -4
D: - 2x + y = 2

Answers

Answer: D. - 2x + y = 2

Step-by-step explanation:

The equation given is -2x + y = 6

Let us re- write it in slope - intercept form , that is we will make y the subject of the formula.

y = 2x + 6

Two lines are said to be parallel if they have the same slope , the slope of the first equation of line given is 2 , this means the slope of the equation of the line parallel to it is also 2.

Using the formula $y -y_(1)$ = $m(x-x_(1))$ to calculate the equation , we have