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2 years ago

Find the distance between the points (0, 10) and (–9, 1).

Mathematics

1 answer:

dimulka [17.4K]2 years ago

5 0

$\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$\\ \sf\longmapsto \sqrt{(-9-0)^2+(1-10)^2}$

$\\ \sf\longmapsto \sqrt{(-9)^2+(-9)^2}$

$\\ \sf\longmapsto \sqrt{81+81}$

$\\ \sf\longmapsto \sqrt{162}$

$\\ \sf\longmapsto 12.42$

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Question 1:

If Jason is pulling with a force of 19 Newtons and his arm is at an angle of 30° with the horizontal.

By resolving Jason's force of pull in the vertical direction, Fy = 19 × Sin 30° = 9.5 Newtons.

The vertical component of Jason's force is 9.5 Newtons.

Question 2:

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Question 3:

If Jason is pulling with a force of 23Newtons and his arm is at an angle of 30° with the horizontal.

By resolving Jason's force of pull in the vertical direction, Fy = 23 × Sin 30° = 11.5Newtons.

The vertical component of Jason's force of pull is, 11.5Newtons.

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Therefore, the weight of the box acts in the -ve vertical direction, while Jason's vertical force component acts in the +ve vertical direction.

Therefore, the net force in the vertical direction is = 11.5Newtons + (-24Newtons)

Therefore, the net force in the vertical direction is -12.5Newtons.

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Resultant, R = √(68²+24²) = √5200.

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