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Agata [3.3K]
3 years ago
10

Using the diagram shown, what is the magnitude of the resultant of these three forces?

Physics
1 answer:
amid [387]3 years ago
5 0

Explanation:

The x component of the resultant force is the sum of the x components of the individual forces.

Fₓ = 65.0 cos 30° − 20.0 sin 20° − 30.0

Fₓ = 19.5

The y component of the resultant force is the sum of the y components of the individual forces.

Fᵧ = 65.0 sin 30° − 20.0 cos 20°

Fᵧ = 13.7

The magnitude is found with Pythagorean theorem:

F² = Fₓ² + Fᵧ²

F² = (19.5)² + (13.7)²

F = 23.8

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Likurg_2 [28]
The answers to the problem are as follows:

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5 0
4 years ago
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How you do this resistor in circuit question?
lawyer [7]
If Resistors are in series= The equivalent is the sum.

E.g R1 and R2 in series,  R = R1 + R2.

If in Parallel, equivalent is Product/sum.

E.g If R1 and R2 in parallel,  R = (R1*R2)/(R1+R2)

1.)    60 is parallel with 40 and both are then in series with 20.

60//40   = (60*40)/(60+40) = 2400/100 = 24 

Now the 24 is in series with the 20 

R = 24 + 20 = 44 ohms.

2.)    80 is in series with 40 and both are then in parallel with 40.

Solving the series,  R = 80 + 40 =120.

Parallel:   120//40  =     (120*40)/(120+40) =  4800/160 = 30 
Equivalent Resistance = 30 ohms.

3.) 100 is in parallel with 100 and both are then in series with the parallel of 50 and 50.

The 1st parallel  =  (100*100)/(100+100) = 10000/200 = 50

The 2nd parallel  =  (50*50)/(50+50)  = 2500/100   = 25.

Solving the series  = 50 + 25 =75 ohms.

Cheers.
3 0
4 years ago
An arrow is fired vertically upwards by a bow and reaches an altitude of 134 m. Find the initial speed of the arrow on the groun
Verdich [7]

Answer:

Explanation:

Let the initial speed be u . final speed = 0

v² = u² - 2gh

v is final speed , u is initial speed , h is height .

0 = u² - 2g x 134

u² = 2 x 9.8 x 134

u = 51.25 m /s .

5 0
4 years ago
A ball traveling with an initial momentum of 5.1 kgm/s bounces off a wall and comes back in the opposite direction with a moment
liubo4ka [24]

Answer:

-9.4 kg m/s

Explanation:

Change in momentum = final momentum − initial momentum

Δp = p − p₀

Δp = -4.3 kg m/s − 5.1 kg m/s

Δp = -9.4 kg m/s

Impulse = change in momentum

J = Δp

J = -9.4 kg m/s

8 0
4 years ago
A balky cow is leaving the barn as you try harder and harder to push her back in. In coordinates with the origin at the barn doo
Tresset [83]

Answer:

The work done is -209.42 J.

Explanation:

F(x) = (- 20 - 3 x ) N

x = 0 to x = 6.9 m

Here, the force is variable in nature, so the work done by the variable force is given by

W =\int F dx\\\\W =\int_{0}^{6.9}(-20- 3x dx )\\\\W= \left [ - 20 x - 1.5 x^2 \right ]_{0}^{6.9}\\\\W = - 20 (6.9 - 0) - 1.5(6.9\times 6.9 - 0)\\\\W =- 138 - 71.42\\\\W = - 209.42  J

7 0
3 years ago
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