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Amiraneli [1.4K]
3 years ago
11

A 5- kg object experiences forces as shown in the diagram. Which statement best describes the motion of the object

Physics
1 answer:
rosijanka [135]3 years ago
8 0

Answer: D. The object would have an acceleration of 6 m/s/s to the right.

Explanation:

I got it right on USA test prep

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(a) A 10.0-mm-diameter Brinell hardness indenter produced an indentation 2.4 mm in diameter in a steel alloy when a load of 1000
ruslelena [56]

Answer:

(a). The HB of this material is 217.8

(b). The diameter of an indentation is 1.45 mm.

Explanation:

Given that,

Diameter of Brinell hardness D= 10.0 m

Diameter of steel alloy d= 2.4 mm

Load = 1000 kg

(a). We need to calculate the HB of this material

Using formula of Brinell hardness

HB=\dfrac{2P}{\pi D(D-\sqrt{D^2-d^2})}

Put the value into the formula

HB=\dfrac{2\times1000}{\pi\times10(10-\sqrt{10^2-2.4^2})}

HB=217.8

(b). Given that,

Hardness = 300 HB

Load = 500 kg

We need to calculate the diameter of an indentation

Using formula of diameter

d=\sqrt{D^2-[D-\dfrac{2P}{(HB)\pi D}]^2}

Put the value into the formula

d=\sqrt{10^2-[10-\dfrac{2\times500}{300\pi\times10}]^2}

d=1.45\ mm

Hence,(a). The HB of this material is 217.8

(b). The diameter of an indentation is 1.45 mm.

7 0
3 years ago
If f(x)=4/x+2 and g is the inverse of f,then g'(10)=​
ch4aika [34]

Answer:

g'(10) = \frac{-1}{16}

Explanation:

Since g is the inverse of f ,

We can write

g(f(x)) = x    <em> </em><em>(Identity)</em>

Differentiating both sides of the equation we get,

g'(f(x)).f'(x) = 1

g'(10) = \frac{1}{f'(x)}    --equation[1]    Where f(x) = 10

Now, we have to find x when f(x) = 10

Thus 10 = \frac{4}{x} + 2

\frac{4}{x} = 8

x = \frac{1}{2}

Since f(x) = \frac{4}{x} + 2

f'(x) = -\frac{4}{x^{2} }

f'(\frac{1}{2})  =  -4 × 4 = -16            

Putting it in equation 1, we get:

We get g'(10) = -\frac{1}{16}

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