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A traveler first drives 21.0 km east, then 29.1 km southeast, and finally 10.3 km south. Find the traveler's total displacement.

Vinvika [58]

The traveler's total displacement is 53.2 km.

The shortest distance between a particle's starting position and destination is referred to as its displacement vector. Displacement has a distinct physical magnitude than distance. Let's use the motion of a particle making a complete circle as an example. The displacement in this motion is zero, yet the distance traveled is equal to the circle's circumference. The individual displacement vectors are as follows: d1

=22^ikm→d2

= (29.7cos45i29.7sin45) kmd3=104jkm

The traveler's complete disadvantage is,

→d=→d1+→d2+→d3→d

=22^ikM+29.7

cos45^−29.7sin45o) km−10.4^j km→

d=(43^i−31.4^j) km

The magnitude of the total displacement is,

d=√432+31.4/2Km d≈53.2km

The direction is,

θ=tan−1(−31.4/43)

θ=−36.1or 36.1 south of east.

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7 0

2 years ago

Thickening agents are flavorless starches or proteins commonly used in cooking; such as thickening gravy for Thanksgiving dinner

Bingel [31]

Starches are more than chains of sugar granules strung together. In the case of corn starch, it is actually millions of these molecules packed into very discrete granules, which cannot be seen by the naked eye. Putting corn starch into cold water, nothing happens because cold water does not dissolve these granules. Putting it into hot water (like cooking gravy) however, these granules dissolve and create bonds between the water and the starch.

5 0

3 years ago

How to do this question

Yuki888 [10]

Answer:

64°

Explanation:

The triangle is an isosceles triangles (both legs are equal to the radius of the circle), so that means the base angles are the same.

Angles of a triangle add up to 180°, so:

128 + 2x = 180

2x = 52

x = 26

∠1 is complementary to the base angle, so:

∠1 = 90 − 26

∠1 = 64

7 0

3 years ago

Write the differential equation that governs the motion of the damped mass-spring system, and find the solution that satisfies t

melisa1 [442]

This question is incomplete, the complete question is;

Write the differential equation that governs the motion of the damped mass-spring system, and find the solution that satisfies the initial conditions specified. Units are mks; γ is the damping coefficient, with units of kg/sec

m = 0.2, γ = 1.6 and k = 4

Initial displacement is 1 and initial velocity is -2

x" + _____ x' ____x = 0

x(t) =

Answer:

the solution that satisfies the initial conditions specified is;

x(t) = $c_1e^{-4t}cos(2t)$ + $c_2e^{-4t}sin(2t)$

Explanation:

Given the data in the question ;

m = 0.2, γ = 1.6, k = 4

x(0) = 1, x'(0) = -2

Now, the differential equation that governs the motions of spring mass system is;

mx" + γx' + kx = 0

so we substitute

0.2x" + 1.6x' + 4x = 0

divide through by 0.2

x" + 8x' + 20x = 0

hence, characteristics equation will be;

m² + 8m + 20 = 0

we find m using; x = [ -b±√(b² - 4ac) ] / 2a

m = [ -8 ± √((8)² - 4(1 × 20 )) ] / 2(1)

m = [ -8 ± √( 64 - 80 ) ] / 2

m = [ -8 ± √-16 ) ] / 2

m = ( -8 ± 4i ) / 2

m = -4 ± 2i

Hence, the general solution of the differential equation is;

x(t) = $c_1e^{-4t}cos(2t)$ + $c_2e^{-4t}sin(2t)$

From the initial conditions;

c₁ = 1, c₂ = 1

the solution that satisfies the initial conditions specified is;

x(t) = $c_1e^{-4t}cos(2t)$ + $c_2e^{-4t}sin(2t)$

6 0

3 years ago

According to newtons first law,if no net force acts on a object,the object continues in motion with?

Dovator [93]

The object keps going cause of wind friction

6 0

4 years ago

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