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3 years ago

Why does the volume of water in a cylinder increase when it is heated

1 answer:

6 0

Heat causes the water molecules to move faster. As the molecules move apart, the water has a greater volume and less density.

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Find the resultant of the following forces: 3.0N east, 4.0N west, and 5.0N in a direction north 60° west.

zzz [600]

Answer:

5.5 N at 50.8° north of west.

Explanation:

To find the resultant of these forces, we have to resolve each force along the x- and y-direction, then find the components of the resultant force, and then calculate the resultant force.

The three forces are:

$F_1=3.0 N$ (east)

$F_2=4.0 N$ (west)

$F_3=5.0 N$ (at 60° north of west)

Taking east as positive x-direction and north as positive y-direction, the components of the forces along the 2 directions are:

$F_{1x}=3.0 N\\F_{1y}=0$

$F_{2x}=-4.0 N\\F_{2y}=0$

$F_{3x}=-(5.0)(cos 60^{\circ})=-2.5 N\\F_{3y}=(5.0)(sin 60^{\circ})=4.3 N$

Threfore, the components of the resultant force are:

$F_x=F_{1x}+F_{2x}+F_{3x}=3.0+(-4.0)+(-2.5)=-3.5 N\\F_y=F_{1y}+F_{2y}+F_{3y}=0+0+4.3=4.3 N$

Therefore, the magnitude of the resultant force is

$F=\sqrt{F_x^2+F_y^2}=\sqrt{(-3.5)^2+(4.3)^2}=5.5 N$

And the direction is:

$\theta=tan^{-1}(\frac{F_y}{|F_x|})=tan^{-1}(\frac{4.3}{3.5})=50.8^{\circ}$

And since the x-component is negative, it means that this angle is measured as north of west.

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3 years ago

The Earth moves in predicable patterns. One of these patterns causes the seasons as

Rina8888 [55]

Answer:

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3 years ago

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How are elements and compounds similar

sergejj [24]

Compound and events are pure substance

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3 years ago

A 0.420 kg block of wood rests on a horizontal frictionless surface and is attached to a spring (also horizontal) with a 20.5 N/

Aneli [31]

Answer:

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Explanation:

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3 years ago

Define newton's first law and provide an example

Lynna [10]

Answer:

An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force.

Explanation:

When an athlete tries to stop his career, it takes several meters to stop completely, due to the inertia produced.

When trying to push a car, at first it is very difficult, because, due to inertia, the car tends to remain still. But once it is put into motion, the effort is much less to be done, since then inertia causes it to keep moving.

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3 years ago

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