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Lana71 [14]
3 years ago
13

A plane flies along a straight line path after taking off, and it ends up 210 km farther east and 90.0 km farther north, relativ

e to where it started. What is the plane's displacement?
Physics
2 answers:
Lapatulllka [165]3 years ago
8 0
<span>A plane flies along a straight line path after taking off, and it ends up 210 km farther east and 90.0 km farther north, relative to where it started. we should use Pythagoras theorem for this. distance^2= 210^2 + 90^2.=228.47km, when rounding off this would comes around 230 km</span>
Viktor [21]3 years ago
7 0

Answer:

The plane's displacement is 228.47 km.

Explanation:

It is given that,

Distance covered in east direction is 210 km and distance covered in north direction is 90 km. Let d is the plane's displacement. It is equal to the shortest path covered by the particle.

d=\sqrt{d_1^2+d_2^2}

d=\sqrt{(210)^2+(90)^2}

d = 228.47 km

So, the plane's displacement is 228.47 km. Hence, this is the required solution.

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<h2>Explanation:</h2>

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A 90 kg ice skater moving at 12.0 m/s on the ice encounters a region of roughed up ice with a coefficient of kinetic friction of
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Answer:

The skater covers a distance of <u>15 m</u> before stopping.

Explanation:

Let the distance traveled before stopping be 'd' m.

Given:

Mass of the skater (m) = 90 kg

Initial velocity of the skater (u) = 12.0 m/s

Final velocity of the skater (v) = 0 m/s (Stops finally)

Coefficient of kinetic friction (μ) = 0.490

Acceleration due to gravity (g) = 9.8 m/s²

Now, we know that, from work-energy theorem, the work done by the net force on a body is equal to the change in its kinetic energy.

Here, the net force acting on the skater is only frictional force which acts in the direction opposite to motion.

Frictional force is given as:

f=\mu N

Where, 'N' is the normal force acting on the skater. As there is no vertical motion, N=mg

∴ f=\mu mg=0.490\times 90\times 9.8=432.18\ N

Now, work done by friction is a negative work as friction and displacement are in opposite direction and is given as:

W=-fd=-432.18d

Now, change in kinetic energy is given as:

\Delta K=\frac{1}{2}m(v^2-u^2)\\\\\Delta K=\frac{1}{2}\times 90(0-12^2)\\\\\Delta K=45\times (-144)=-6480\ J

Therefore, from work-energy theorem,

W=\Delta K\\\\-432.18d=6480\\\\d=\frac{6480}{432.18}\\\\d=14.99\approx 15\ m

Hence, the skater covers a distance of 15 m before stopping.

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