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2 years ago

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:

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tiny-mole [99]

The rule is -3, then +2

24-3 = 21
21 + 2 = 23
23-3= 20
20+2= 22
22-3= 19
19+2 = 21
21-3= 18
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3 0

2 years ago

In a (blank),one ratio compares a part to a whole

Verdich [7]

Answer:

In a part-to-whole ratio, one ratio compares a part to a whole.

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2 years ago

Data sets A and B are dependent. Find sd.Assume that the paired data came from a population that is normally distributed.A. 1.73

marusya05 [52]

Complete question :

A : 2.7, 3.7, 5.6, 2.6, 2.7

B : 5.1, 4.0, 3.9, 3.8, 5.2

Data sets A and B are dependent. Find sd.Assume that the paired data came from a population that is normally distributed.A. 1.73B. 1.21C. 1.32D. 1.89

Answer: A.1.73

Step-by-step explanation:

Given the data:

A : 2.7, 3.7, 5.6, 2.6, 2.7

B : 5.1, 4.0, 3.9, 3.8, 5.2

Difference betweenA and B (A - B) :

Xd = (A - B) = - 2.4, -0.3, 1.7, - 1.2, - 2.5

Sum of (A - B) = Σ Xd = (-2.4 + (-0.3) + 1.7 + (-1.2) + (-2.5) = - 4. 7

Md = ΣXd / n = - 4.7 / 5 = - 0.94

Xd - Md = (-2.4 + 0.94), (-0.3 + 0.94), (1.7 + 0.94), (-1.2 + 0.94), (-2.5 + 0.94)

(Xd - Md) = - 1.46, 0.64, 2.64, - 0.26, - 1.56

(Xd - Md)^2 = (-1.46)^2 + 0.64^2 + 2.64^2 + (-0.26)^2 + (-1.56)^2

Σ(Xd - Md)^2 = (2.1316 + 0.4096 + 6.9696 + 0.0676 + 2.4336) = 12.012

Standard deviation = √[Σ(Xd - Md)^2 / (n-1)]

Standard deviation= √12.012 / 4

Standard deviation = 1.7329

Standard deviation= 1.73

3 0

2 years ago

Gavin wrote the equation p=3(s+100)/4 to represent p, the profit he makes from s sales in his lawn-mowing business. Which equati

Sindrei [870]

Given the equation p = 3(s + 100)/4

Where,
p = profit made
s = sales

Solving for s from the given equation

p = 3(s + 100)/4

Multiply both sides by 4
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4p = 3s + 300

Subtract 300 from both sides of the equation
4p – 300 = 3s
Same as, 3s = 4p – 300

s = (4p – 300)/3
OR, s = 4p/3 – 100
If any of these two is in the options, it’s the right answer.

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2 years ago

A bird sanctuary needs at least 500 lbs of corn per month. The storage shed

Phantasy [73]

Answer:

x≥(500-87)/40

Step-by-step explanation:

You need 500 lbs and already have 87 so you need at least 413 bags. You divide you 40 because they come in 40 pound bags. Round up so that you have the minimum number of bags necessary to reach 500 lbs of corn.

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2 years ago