1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vinvika [58]
3 years ago
15

A light rope is attached to a block with mass 4.10 kg that rests on a frictionless, horizontal surface. The horizontal rope pass

es over a frictionless, massless pulley, and a block with mass m is suspended from the other end. When the blocks are released, the tension in the rope is 14.7 N.
a. Draw two free-body diagrams: one for each block.
b. What is the acceleration of either block?
c. Find m.
d. How does the tension compare to the weight of the hanging block?

Physics
1 answer:
musickatia [10]3 years ago
6 0

Answer:

a)  please find the attachment

(b) 3.65 m/s^2

c) 2.5 kg

d) 0.617 W

T<weight of the hanging block

Explanation:

a) please find the attachment

(b) Let +x be to the right and +y be upward.

The magnitude of acceleration is the same for the two blocks.  

In order to calculate the acceleration for the block that is resting on the horizontal surface, we will use Newton's second law:  

∑Fx=ma_x

   T=m1a_x

  14.7=4.10a_x

 a_x= 3.65 m/s^2

c) <em>in order to calculate m we will apply newton second law on the hanging   </em>

<em>    block</em>

<em> </em>∑F=ma_y

T-W= -ma_y

T-mg= -ma_y

T=mg-ma_y

T=m(g-a_y)

a_x=a_y

14.7=m(9.8-3.65)

 m = 2.5 kg

<em>the sign of ay is -ve cause ay is in the -ve y direction and it has the same magnitude of ax</em>

d) calculate the weight of the hanging block :

W=mg

W=2.5*9.8

  =25 N

T=14.7/25

 =0.617 W

T<weight of the hanging block

You might be interested in
One isotope of bromine has an atomic mass of 78.92amu and a relative abundance of 50.69%. The other major isotope of bromine has
castortr0y [4]

Answer:

The average atomic mass is 79.91 amu.

Explanation:

Since  

Atomic mass can be find by Multiplying the relative abundance of each isotope by its atomic mass, then add them together to get the atomic mass of the element.

so

Atomic  mass = (0.5069)(78.92 amu) + (0.4931)(80.92 amu)

                       =79.91 amu

So the Atomic mass of the  bromine is 79.91amu.

8 0
3 years ago
Karen claps her hand and hears the echo from
Alinara [238K]

Answer:

89 m

Explanation:

Applying

v = 2d/t................... Equation 1

Where v = velocity of sound in air, d = distance of the wall from Karen, t = time taken to hear the echo.

make d the subject of equation 1

d = vt/2..................... Equation 2

From the question,

Given: v = 343 m/s, t = 0.519 s

Substitute these values into equation 2

d = (343×0.519)/2

d = 89.01 m.

d ≈ 89 m

3 0
2 years ago
Consider your moment of inertia about a vertical axis through the center of your body, both when you are standing straight up wi
jeka94

Answer:

     I₁ / I₂ = 1.43

Explanation:

To find the relationship of the two inertial memits, let's calculate each one, let's start at the moment of inertia with the arms extended

Before starting let's reduce all units to the SI system

       d₁ = 42 in (2.54 10⁻² m / 1 in) = 106.68 10⁻² m

       d₂ = 38 in = 96.52 10⁻² m

The moment of inertia is a scalar quantity for which it can be added, the moment of total inertia would be the moment of inertia of the man (cylinder) plus the moment of inertia of each arm

        I₁ = I_man + 2 I_ arm

Man indicates that we can approximate them to a cylinder where the average diameter is

         d = (d₁ + d₂) / 2

         d = (106.68 + 96.52) 10-2 = 101.6 10⁻² m

The average radius is

         r = d / 2 = 50.8 10⁻² m = 0.508 m

The mass of the trunk is the mass of man minus the masses of each arm.

        M = M_man - 0.2 M_man = 80 (1-0.2)

        M = 64 kg

The moments of inertia are:

A cylinder with respect to a vertical axis:         Ic = ½ M r²

A rod that rotates at the end:                            I_arm = 1/3 m L²

Let us note that the arm rotates with respect to man, but this is at a distance from the axis of rotation of the body, so we must use the parallel axes theorem for the moment of inertia of the arm with respect to e = of the body axis.

           I1 = I_arm + m D²

Where D is the distance from the axis of rotation of the arm to the axis of the body

          D = d / 2 = 101.6 10⁻² /2 = 0.508 m

Let's replace

          I₁ = ½ M r² + 2 [(1/3 m L²) + m D²]

Let's calculate

         I₁ = ½ 64 (0.508)² + 2 [1/3 8 1² + 8 0.508²]

         I₁ = 8.258 + 5.33 + 4.129

         I₁ = 17,717 Kg m² / s²

Now let's calculate the moment of inertia with our arms at our sides, in this case the distance L = 0,

          I₂ = ½ M r² + 2 m D²

          I₂ = ½ 64 0.508² + 2 8 0.508²

          I₂ = 8,258 + 4,129

          I₂ = 12,387 kg m² / s²

The relationship between these two magnitudes is

          I₁ / I₂ = 17,717 /12,387

          I₁ / I₂ = 1.43

3 0
3 years ago
Why filament lamp is filled with nitrogen and inert gas​
wlad13 [49]

Answer:

Bulbs are filled with chemically inactive Nitrogen or Argon gas to prevent the oxidation of tungsten filament used in the bulb. A bulb is filled with an inert gas such as argon or nitrogen slows down the evaporation of the tungsten filament compared to operating it in a vacuum.

Explanation:

6 0
2 years ago
Read 2 more answers
What occurs at the end of a negative cell if an electric cell is placed in a closed circuit?​
gavmur [86]

1. Current means flow of electrons and electrons are negative charged and so are attracted to the positive end of the battery and repelled by the negative end.

2. When battery is connected in a circuit that lets the electron flow through it, they flow from negative to positive.

3. When negative terminal of cell is connected to other negative terminal of the cell in a particular circuit then, current will not flow in circuit as electrons cannot flow from negative to negative terminal.

4 0
2 years ago
Other questions:
  • What term describes an atoms tendencies to hold onto electrons?
    11·1 answer
  • how do you relate the equations for kinetic and potential energy to illustrate the law of conservation of energy?
    9·1 answer
  • we measure a voltage difference of 5.0 V between two points on the conducting paper between two parallel conducting electrodes.
    6·1 answer
  • The slope of a position-time graph can be used to find the moving object’s
    15·1 answer
  • Use the data table and information below to answer the following questions.
    15·1 answer
  • Which method determines the relative age of Earth's sedimentary layers based on their organization?
    12·1 answer
  • Do you think you must have a tree of your?<br> ​
    14·1 answer
  • A motorcycle is moving with the velocity of 72km/h. If the velocity reaches 40m/s after 0.5m calculate the acceleration
    5·1 answer
  • You have a spring-loaded air rifle. When it is loaded, the spring is compressed 0.3 m and has a spring constant of 150 N/m. In j
    10·1 answer
  • An astronomer observes two ordinary stars. the first one turns out to be twice as hot as the second. this means that the first o
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!