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damaskus [11]
4 years ago
6

The staples inside a stapler are kept in place by a spring with a relaxed length of 0.116 m. if the spring constant is 46.0 n/m,

how much elastic potential energy is stored in the spring when its length is 0.146 m?
Physics
1 answer:
ankoles [38]4 years ago
8 0

Answer:

U = 0.0207 J

Explanation:

We know that:

U = \frac{1}{2}Kx^2

where U is the potential energy, K the constant of the spring and x is the deformation.

so, the deformation is calcualted as:

x = 0.146m-0.116m

x = 0.03m

Finally, replacing the values of x and K, we get:

U = \frac{1}{2}(46n/m)(0.03m)^2

U = 0.0207 J

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In a machining operation that approximates orthogonal cutting, the cutting tool has a rake angle =100 . The chip thickness ratio
Rudik [331]

Answer:

The percentage of the total energy dissipated into shear plane is 89.46%.

Explanation:

Given that,

Rake angle = 10°

Thickness ratio= 0.5

Cutting Force = 400 N

Thrust force = 200 N

Speed =3 m/s

Suppose the shear force is 345.21 N.

We need to calculate the shear plane angle

Using formula shear angle

\tan\phi=\dfrac{r\cos\alpha}{1-r\sin\alpha}

Put the value in to the formula

\tan\phi=\dfrac{0.5\cos10}{1-0.5\sin10}

\tan\phi=0.539

\phi=\tan^{-1}(0.539)

\phi=28.32^{\circ}

We need to calculate the shear velocity

Using formula of shear velocity

v_{2}=\dfrac{v\cos\alpha}{\cos(\phi-\alpha)}

Put the value into the formula

v_{2}=\dfrac{3\times\cos10}{\cos(28.32-10)}

v_{2}=3.11\ m/s

We need to calculate the percentage of the total energy dissipated into shear plane

Using formula of energy dissipated

\%d=\dfrac{P_{s}}{P}\times100

\%d=\dfrac{F_{s}\times v_{c}}{F_{c}\times v}\times100

Put the value into the formula

\%d=\dfrac{345.21\times3.11}{400\times3}\times100

d=89.46\%

Hence, The percentage of the total energy dissipated into shear plane is 89.46%.

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3 years ago
A baseball has a momentum of 6.0 kg m/s south and a mass of 0.15 kg. What is the baseball’s velocity? Show work
kupik [55]

Momentum of an object is defined as product of mass and velocity

so it is given as

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here it is given that

mass = 0.15 kg

momentum = 6 kg m/s

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6 = 0.15 * v

v = \frac{6}{0.15}

v = 40 m/s

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Answer:

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