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3 years ago

The potential energy of a body of mass m is given by U(x) = -mgx + 1/2kx^2. The corresponding force is

Physics

1 answer:

jonny [76]3 years ago

4 0

Answer:

F = (mg - kx) i ^

Explanation:

Force and potential are related

F = - ( $\frac{dU}{dx}$ i ^ + \frac{dU}{dy} j ^ + \frac{dU}{dz} k ^)

in this exercise we are told that the potential is

U = - m g x + ½ kx²

let's make the drive

\frac{dU}{dx} = -mg + kx

\frac{dU}{dy}= 0

\frac{dU}{dz} = 0

we substitute

F = (mg - kx) i ^

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A 70.0-kilogram man is walking at a speed if 2.0 m/s. What is the kinetic energy?

Paraphin [41]

Answer:

140 J

Explanation:

From the the question, the mass of the man =70.0 kg and the speed at which the man is walking =2.0 m/s.

$K.E = \frac{1}{2}m {v}^{2}$

where K.E = the kinetic energy, m=mass and v= speed.

By substitution,

$K.E = \frac{1}{2} \times 70 \times {2}^{2}$

$\implies \: K.E = \frac{280}{2}$

$\implies K.E =140$

Hence the kinetic energy of the man is 140J

3 0

2 years ago

A company randomly selects 100 light bulbs every day for 40 days from its production process. If 600 defective light bulbs are f

lutik1710 [3]

Answer:

3 sigma lower control limit = 0.0429

Explanation:

Given.

n = 100

days = 100

Number of defective bulbs = 600 defective bulbs

Let p = Process Average

p = 600/(100*40)

P = 600/4000

P = 0.15

q = 1 - p

q = 1 - 0.15

q = 0.85

3 sigma lower limit = p - 3*√(pq/n)

Using the above formula

Substitute in the values

3 sigma lower control limit = 0.15 - 3 * √(0.15 * 0.85/100)

3 sigma lower control limit= 0.15 - 3√0.001275

3 sigma lower control limit = 0.15 - 3* 0.035707142142714

3 sigma lower control limit = 0.15 - 0.107121426428142

3 sigma lower control limit = 0.04287857357185

3 sigma lower control limit = 0.0429 ---- approximated

3 0

2 years ago

Read 2 more answers

A deep space probe travels in a straight line at a constant speed of over 16,000 m/s. Assuming there is no friction in space, if

77julia77 [94]

C because when the part gets out of the probe it would no longer stay contacted

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3 years ago

Letícia leaves the grocery store and walks 150.0 m to the parking lot. Then, she turns 90° to the right and walks an additional

Alexxx [7]

Answer:

165.529454

Explanation:

According to the Pythagorean Theorem for calculating the lengths of a right angle triangle's sides, a^2 + b+2 = c^2, where c is the longest side (and the side opposing the right angle). So in your case it would be 150*150 + 70*70 = 27400. And √ 27400 is your answer.

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2 years ago

A van der Graaff generator belt takes 250 electrons up to the ball at the top every second. Assuming that there is no loss, how

Strike441 [17]

3.75 x 108 is 2000 hope that is right

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2 years ago

The potential energy of a body of mass m is given by U(x) = -mgx + 1/2kx^2. The corresponding force is​

The potential energy of a body of mass m is given by U(x) = -mgx + 1/2kx^2. The corresponding force is