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3 years ago

what are the horizontal and vertical components of a vector that is 25units long with an angle of 130 degrees

Physics

1 answer:

AlekseyPX3 years ago

5 0

Answer:

The horizontal component of the vector ≈ -16.06

The vertical component of the vector ≈ 19.15

Explanation:

The magnitude of the vector, $\left | R \right |$ = 25 units

The direction of the vector, θ = 130°

Therefore, we have;

The horizontal component of the vector, Rₓ = $\left | R \right |$ × cos(θ)

∴ Rₓ = 25 × cos(130°) ≈ -16.06

The horizontal component of the vector, Rₓ ≈ -16.06

The vertical component of the vector, R $_y$ = $\left | R \right |$ × sin(θ)

∴ R $_y$ = 25 × sin(130°) ≈ 19.15

The vertical component of the vector, R $_y$ ≈ 19.15

(The vector, R = Rₓ + R $_y$

$\underset{R}{\rightarrow}$ = Rₓ·i + R $_y$ ·j

∴ $\underset{R}{\rightarrow}$ ≈ -16.07·i + 19.15j)

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3 years ago

Read 2 more answers

Let the masses of blocks A and B be 4.50 kg and 2.00 kg , respectively, the moment of inertia of the wheel about its axis be 0.4

Free_Kalibri [48]

Answer:

Accelerations of both the sides is 0.6125 $m/s^{2}$ , A moves downwards whereas B moves upwards.

$\alpha$ =6.125 rad/ $s^{2}$

Tension on side A = 4.5 × g= 44.1 m/ $s^{2}$

Tension on side B= 2.0 × g= 19.6 m/ $s^{2}$

Explanation:

As both, the blocks A and B are attached due to the constraint they can only possess a single acceleration a.

Observe the figure attached, let the tension with Block A be $T_{2}$ and the tension attached with Block B be $T_{1}$ .

Tensions will be only be due to the weight of the blocks as no other force is present.

$T_{2}$ = 4.5 × g= 44.1 m/ $s^{2}$

$T_{1}$ = 2.0 × g= 19.6 m/ $s^{2}$

Now, lets make a torque equation about the center of the wheel and find the alpha

$T_{2}$ ×R- $T_{1}$ ×R= MI( Moment of Inertia of Wheel)× Alpha

where, R= Radius of the wheel=0.100m and

Alpha( $\alpha$ )= Angular acceleration of the wheel

MI of the wheel= 0.400 kg/ $m^{2}$

$(44.1-19.6)R=0.400\alpha$

$\alpha = \frac{24.5 * 0.100}{0.400}$

$\alpha$ =6.125 rad/ $s^{2}$

Acceleration = R × $\alpha$

= 0.1 * 6.125

=0.6125 $m/s^{2}$

Accelerations of both the sides is 0.6125 $m/s^{2}$ , A moves downwards whereas B moves upwards.

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3 years ago

Lightning flashes and you hear a thunder clap for seconds later. the velocity of sound is 340 m/s. how far away did lightning st

kondaur [170]

Answer:

For metric-system conversions, follow this method: Sound travels at about 340 m/s, so multiply the number of seconds you counted by 340, and you'll know how many meters away lightning struck. A three-second count, then, would place the lightning strike about 1,020 m away, or roughly 1 km.

Explanation:

hope it hep and if it doesnt sorry

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3 years ago

what are the horizontal and vertical components of a vector that is 25units long with an angle of 130 degrees​

what are the horizontal and vertical components of a vector that is 25units long with an angle of 130 degrees