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SashulF [63]
2 years ago
11

A worker drives a 0.500 kg spike into a rail tie with a 2.50 kg sledgeham-

Mathematics
1 answer:
Marianna [84]2 years ago
8 0

Total internal energy increases by 1760 J

Step-by-step explanation:

The kinetic energy of an object is the energy possessed by the object due to its motion.

It is calculated as

KE=\frac{1}{2}mv^2

where

m is the mass of the object

v is its speed

For the hammer in this problem:

m = 2.50 kg

v = 65.0 m/s

So its kinetic energy is

KE=\frac{1}{2}(2.50)(65)^2=5281 J

Then the problem says that 1/3 of the hammer's kinetic energy is converted into internal energy: therefore, the total internal energy increases by

\frac{1}{3}KE=\frac{1}{3}(5281)=1760 J

Learn more about kinetic energy:

brainly.com/question/6536722

#LearnwithBrainly

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Three out of seven students in the cafeteria line are chosen to answer survey questions. How many different combinations of thre
Andreyy89

Answer:

The number of different combinations of three students that are possible is 35.

Step-by-step explanation:

Given that three out of seven students in the cafeteria line are chosen to answer a survey question.

The number of different combinations of three students that are possible is given as:

7C3 (read as 7 Combination 3)

xCy (x Combination y) is defines as

x!/(x-y)!y!

Where x! is read as x - factorial or factorial-x, and is defined as

x(x-1)(x-2)(x-3)...2×1.

Now,

7C3 = 7!/(7 - 3)!3!

= 7!/4!3!

= (7×6×5×4×3×2×1)/(4×3×2×1)(3×2×1)

= (7×6×5)/(3×2×1)

= 7×5

= 35

Therefore, the number of different combinations of three students that are possible is 35.

3 0
2 years ago
Read 2 more answers
On the first day a total of 40 items were sold for $356. Define the variables and write a system of equations to find the number
Alina [70]
<h3><u><em>Question:</em></u></h3>

On the first day, a total of 40 items were sold for $356. Pies cost $10 and cakes cost $8. Define the variables, write a system of equations to find the number of cakes and pies sold, and state how many pies were sold.

<h3><em><u>Answer:</u></em></h3>

The variables are defined as:

"c" represent the number of cakes sold and "p" represent the number of pies sold

The system of equations used are:

c + p = 40 and 8c + 10p = 356

18 pies and 22 cakes were sold

<h3><em><u>Solution:</u></em></h3>

Let "c" represent the number of cakes sold

Let "p" represent the number of pies sold

Cost of 1 pie = $ 10

Cost of 1 cake = $ 8

Given that total of 40 items were sold

number of cakes + number of pies = 40

c + p = 40 ------ eqn 1

<u><em>Given items were sold for $356</em></u>

number of cakes sold x Cost of 1 cake + number of pies sold x Cost of 1 cake = 356

c \times 8 + p \times 10 = 356

8c + 10p = 356  ----- eqn 2

<u><em>Let us solve eqn 1 and eqn 2</em></u>

From eqn 1,

p = 40 - c    ---- eqn 3

Substitute eqn 3 in eqn 2

8c + 10(40 - c) = 356

8c + 400 - 10c = 356

-2c = - 44

c = 22

<em>Substitute c = 22 in eqn 3</em>

p = 40 - c

p = 40 - 22

p = 18

Thus 18 pies and 22 cakes were sold

3 0
2 years ago
Gigi earned $65 for 5 hours of gardening. She earned $90 for 9 hours of office work. Which statement correctly compares Gigi’s e
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She earned $3 more per hour for gardening than for office work.
8 0
2 years ago
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Two horses approach each other along the same country road, one walking at 5.5 km/h and the other at 4.5 km/h. When the horses a
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We are given with
v1 = 5.5 km/hr
v2 = 4.5 km/hr
d = 10 km
v3 = 30 km/hr

The total time the fly was flying back and forth is
5.5t + 4.5t - 10
t = 1 hr

The total distance traveled by the fly is
d = 30 (1) = 30 km
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1 year ago
Victoria and her friends are going on a road trip that is 632.64 miles long. If they have 32.3 miles until their destination, ho
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600.34 All you need to do is subtract and that will be your answer.
5 0
2 years ago
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