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solmaris [256]
3 years ago
11

1. Find the resultant due to the action of three forces if they are F1, 100 N, 60º above the x axis; F2, 200 N, 140º above the x

axis; and F3, 250 N, 320º above the x axis.
Physics
1 answer:
Serjik [45]3 years ago
6 0

Answer:

R = 103.7 N, 31.6° above x-axis

Explanation:

First we find the x components of all the forces:

F1x = F1 Cos 60°

F1x = (100 N)(Cos 60°)

F1x = 50 N

F2x = F2 Cos 140°

F2x = (200 N)(Cos 140°)

F2x = -153.2 N

F3x = F3 Cos 320°

F3x = (250 N)(Cos 320°)

F3x = 191.5 N

So, the x component of resultant will be the sum of the x component of each force:

Rx = F1x + F2x + F3x

Rx = 50 N - 153.2 N + 191.5 N

Rx = 88.3 N

Now we find the y components of all the forces:

F1y = F1 Sin 60°

F1y = (100 N)(Sin 60°)

F1y = 86.6 N

F2y = F2 Sin 140°

F2y = (200 N)(Sin 140°)

F2y = 128.5 N

F3y = F3 Sin 320°

F3y = (250 N)(Sin 320°)

F3y = -160.7 N

So, the y component of resultant will be the sum of the y component of each force:

Ry = F1y + F2y + F3y

Ry = 86.6 N + 128.5 N - 160.7 N

Ry = 54.4 N

Hence, the magnitude of resultant force will be:

|R| = √(Rx² + Ry²)

|R| = √[(88.3 N)² + (54.4 N)²]

|R| = √10756.25 N²

|R| = 103.7 N

And the direction θ will be:

θ = tan⁻¹(Ry/Rx)

θ = tan⁻¹(54.4/88.3)

θ = 31.6° above x-axis

Hence, the resultant vector will be:

<u>R = 103.7 N, 31.6° above x-axis</u>

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1) Time played forward : gravity & drag forces are in opposite directions so it takes a longer time to reach the ground. 2) Time played backward : gravity & drag forces are in the same direction so it takes a shorter time to reach the ground.

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Two magnets are arranged so that they pull together. Which conclusion can be reached? A.Two north poles are together. B. Two sou
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Answer is D. a north pole is near a south pole

Explanation:

Hope this helps!! :D

6 0
2 years ago
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4. Explain how states of matter change in regards to<br> a. Temperature-<br> b. Pressure-
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Temperature can change the state from solid to liquid causing it to melting, liquid to gas causing vaporization or a solid to a gas causing sublimation. Pressure alone cannot change the state of matter.
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3 years ago
a bullet moving with a velocity of 100m/s pierce a block of wood and moves out with a velocityof 10 m/s.if the thickness of the
erma4kov [3.2K]

The emerging velocity of the bullet is <u>71 m/s.</u>

The bullet of mass <em>m</em> moving with a velocity <em>u</em>  has kinetic energy. When it pierces the block of wood, the block exerts a force of friction on the bullet. As the bullet passes through the block, work is done against the resistive forces exerted on the bullet by the block. This results in the reduction of the bullet's kinetic energy. The bullet has a speed <em>v</em> when it emerges from the block.

If the block exerts a resistive force <em>F</em> on the bullet and the thickness of the block is <em>x</em> then, the work done by the resistive force is given by,

W=Fx

This is equal to the change in the bullet's kinetic energy.

W=Fx=\frac{1}{2} m(u^2-v^2)......(1)

If the thickness of the block is reduced by one-half, the bullet emerges out with a velocity v<em>₁.</em>

Assuming the same resistive forces to act on the bullet,

F(\frac{x}{2} )=\frac{1}{2} m(u^2-v_1^2)......(2)

Divide equation (2) by equation (1) and simplify for v<em>₁.</em>

\frac{\frac{Fx}{2} }{Fx} =\frac{(u^2-v_1^2)}{(u^2-v^2)} \\\frac{100^2-v_1^2}{100^2-10^2} =\frac{1}{2} \\v_1^2=5050\\v_1=71.06 m/s

Thus the speed of the bullet is 71 m/s


3 0
3 years ago
How much energy ( in joules ) is released when 0.06 kilograms of mercury is condensed to a liquid at the same temperature ?
aleksley [76]

Answer:

B. 17,705.1 J

Explanation:

The hear released when the mercury condenses into a liquid is given by:

Q=m \lambda_v

where

m = 0.06 kg is the mass of the mercury

\lambda_v is the latent heat of vaporization

For mercury, the latent heat of vaporization is \lambda_v = 296 kJ/kg, so the heat released during the process is:

Q=(0.06 kg)(296 kJ/kg)=17.76 kJ = 17,760 J

So, the closest option is

B. 17,705.1 J

5 0
3 years ago
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