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AysviL [449]
3 years ago
6

A vector has components Ax = 12.0 m and Ay= 5.00 m. What is the angle that vector A makes with the x-axis?a. 67.4ob. 32.6oc. 22.

6od. 12.6o
Physics
1 answer:
antoniya [11.8K]3 years ago
5 0

Answer:

C.22.6°

Explanation:

Ax = ACosθ,

A = Ax/Cosθ    .....equ1

Ay = Asinθ,

A= Ay/sinθ      .....equ 2

equate equation 1 and 2.

Ax/Cosθ = Ay/sinθ

Ax = 12.0 m,  Ay= 5.00 m

12/Cosθ = 5/sinθ

θ = 22.6°

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Hydraulic systems utilize Pascal's principle by transmitting pressure from one cylinder (called the primary) to another (called
Paul [167]

Answer:

F1= 122.93 N

Explanation:

Pascal´s Principle

Pascal´s Principle can be applied in the hydraulic press:

If we apply a small force (F1) on a small area piston A1, then, a pressure (P) is generated that is transmitted equally to all the particles of the liquid until it reaches a larger area piston and therefore a force (F2) can be exerted that is proportional to the area (A2) of the piston:

P=F/A

P1=P2

\frac{F_{1} }{A_{1}} = \frac{F_{2} }{A_{2}}   Formula (1)

Data

D1 =  1.85 cm : primary cylinder piston diameter

D2 = 24.5 cm : secondary cylinder piston diameter

m = 2200-kg  : car mass

Piston area calculation

A_{1} = \frac{\pi *(D_{1})^{2}  }{4}

A_{1} = \frac{\pi *(1.85)^{2}  }{4}

A1= 2.688 cm²

A_{2} = \frac{\pi *(D_{2})^{2}  }{4}

A_{2} = \frac{\pi *(24.5)^{2}  }{4}

A2 = 471.435 cm²

Calculating of the weight of the car (W)

W = m*g = 2200-kg * 9.8 m/s² = 21560 N

Calculation of the force in Newtons to be exerted on the primary cylinder piston

Data:

A1= 2.688cm²

A2= 471.435 cm²

F2 = W=  21560 N

We replace data in the formula (1)

\frac{F_{1} }{A_{1}} = \frac{F_{2} }{A_{2}}

F_{1} =\frac{F_{2}*A_{1}  }{A_{2} }

F_{1} =\frac{21560N*2.688 cm^{2} }{471.435 cm^{2} }

F1= 122.93 N

3 0
3 years ago
What does the statement “10 m/s to the north” describe? A. time B. velocity
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Answer:

D. Position

Explanation:

10 m/s to the north means that an object is moving to the north and it doesn't matter neither the time nor the velocity.

This statement is just telling us the direction in which this object is moving.

8 0
3 years ago
Read 2 more answers
four particles connected by rigid rods of negligible mass where y1 = 5.70 m. the origin is at the center of the rectangle. The s
Sophie [7]

The definition of moment of inertia and kinetic energy we can find the results for the questions are:  

          a) The moment of inertia is: I = 32.49 kg m²

          b) The kinetic energy is: K = 509.4 J

a) The moment of inertia is a scalar quantity that has the same function as mass, it is given by

             I = m r²

       

They indicate that the length of the bar is y₁ = 5.70 m, if the two rigid bars form the square that supports the masses, the distance from the center to the end where each mass is:  

            r = y₁ / 2

             r = 5.70 / 2 = 2.85 m

The moment of inertia of the system is.

         I = 4 m r²

Let's calculate.

        I =4 m 2.85²

        I = 32.49m kg m²

If we assume that the mass of each point particle is:

        m = 1 kg

   

         I = 32.49 kg m²

b) They ask for the rotational kinetic energy, if the angular velocity is.

           w = 5.60 rad / s

The kinetic energy for rotational motion is.

         K = ½ I w²

Let's calculate.

          K = ½ 32.49 5.60²

          K = 509.4 J

In conclusion with the definition of moment of inertia and kinetic energy we can find the results for the questions are:

          a) The moment of inertia is: I = 32.49 kg m²

          b) The kinetic energy is: K = 509.4 J

Learn more here:  brainly.com/question/14838079

8 0
2 years ago
On a cello, the string with the largest linear density (1.44 x 10-2 kg/m) is the C string. This string produces a fundamental fr
Rus_ich [418]

Answer:

T=346.5N

Explanation:

From the question we are told that:

Density \rho=  (1.44 * 10^{-2} kg/m)

FrequencyF=93.0Hz

Lengthl=0.834m

Generally the equation for Frequency is mathematically given by

F=\frac{1}{2 l}sqrt{\frac{T}{\rho}}

Therefore

T=\rho(2 lF)^2

T= (1.44 * 10^{-2}*(2*0.834)(93.0))^2

T=346.5N

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3 years ago
Which of the following solutions will have the lowest freezing point?
gregori [183]
 C. 1.0 mol/kg sodium phosphide (Na3P)<span> 

This is because it will produce 4 ions, and thus has the highest molalitiy. (more particles in solution lowers the freezing point) 

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7 0
3 years ago
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