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
d1i1m1o1n [39]
4 years ago
11

A man pushing a mop across a floor causes it to undergo two displacements. The first has a magnitude of 146 cm and makes an angl

e of 124° with the positive x axis. The resultant displacement has a magnitude of 137 cm and is directed at an angle of 32.0° to the positive x axis. Find the magnitude and direction of the second displacement.
Physics
1 answer:
svetlana [45]4 years ago
6 0

Answer:

B = 191.26 cm

θ = -14.73°

Explanation:

given,

magnitude of the first displacement(A) = 146 cm

at an angle of 124°

resultant magnitude = 137 cm

and angle made with x-axis by the resultant(R) = 32.0°

component of A in X and Y direction

A x = A cos θ  = 146 cos 120° = -73 cm

A y = A sin θ = 146 sin 120° = 126.4 cm

now component of resultant in x and y direction

R x = 137 cos 35°

    = 112.2 cm

R y = 137 sin 35°

     = 78.6 cm

resultant is the sum of two vectors

R = A + B

R x = A x + B x

B x =  112.2 - (-73) = 185.2 cm

B y = R y - A y

B y = 78.6 - 126.4 = -47.8 cm

magnitude of B

B = \sqrt{B_x^2+B_y^2}

B = \sqrt{185.2^2+-47.8^2}

B = 191.26 cm

angle\theta = tan^{-1}\dfrac{-47.8}{185.2}

θ = -14.73°

You might be interested in
A 12.5μF capacitor is connected to a power supply that keeps a constant potential difference of 24.0 V across the plates. A piec
Lerok [7]

Answer:

particle accelerator

Explanation:

8 0
3 years ago
A wind generator, such as the one shown , uses the power of wind to generate electricity What do you think is happening inside t
chubhunter [2.5K]

Answer:

The wind spins blades of a wind turbine around a rotor, which spins a generator, which creates electricity (a generator converts mechanical energy into electricity).

5 0
3 years ago
The period T of a simple pendulum is expressed by: √ where ‘l' is the length of the pendulum and ‘g' is the acceleration due to
OlgaM077 [116]

Answer:

T = T

Explanation:

The period of a simple pendulum is given by the formula

                           t = 2\pi \sqrt{\frac{l}{g} }

Where

                         l - length of the pendulum

                         g - acceleration due to gravity

The dimension of the physical quantities are given by,

                                   t  - T

                                   l - L

                                   g - m/s² - LT⁻²

Substituting in the above equation,

                                T = 2π √(L / LT⁻²)

Considering only the dimensional units in the equation

                                 T = √(L / LT⁻²)

                                  T = T

This shows that the formula for a simple pendulum is dimensionally consistent, T = T

3 0
3 years ago
Which two statements about an electric motor are true?
allochka39001 [22]

Options (b) and (d) are correct about an electric motor.

An electric motor is a device which coverts electrical energy into mechanical energy.It works on the principle that when a current carrying coil is placed in a magnetic field, it experiences torque. Because of that torque, the coil rotates and thus the electrical energy gets converted into mechanical (motion) energy.

7 0
3 years ago
Read 2 more answers
What is defect of vision​
Anuta_ua [19.1K]

Answer:

The vision becomes blurred due to the refractive defects of the eye. There are mainly three common refractive defects of vision. These are (i) myopia or near-sightedness, (ii) Hypermetropia or far – sightedness, and (iii) Presbyopia. These defects can be corrected by the use of suitable spherical lenses.

4 0
3 years ago
Other questions:
  • Which temperature is warmer than the freezing point of water
    6·1 answer
  • Would you rather live but never be treated right or pass away and let others you love be treated right and have a good life?
    8·2 answers
  • What is the hottest part of the Earth?
    12·2 answers
  • Time: distance: direction:velocity
    11·1 answer
  • The volume of a liquid is usually measured in _____.<br> A. cm<br> B. cm³<br> C. kg<br> D. mL
    10·2 answers
  • Someone please help me will give BRAILIEST!!!!!
    7·1 answer
  • Determine the work that is being done by tension in pulling the box 178.0 cm along the table.
    12·1 answer
  • Educación física como se puede mejorar la técnica deportiva
    14·1 answer
  • If a ball is rolling across the floor, what are 3 factors that cause it to slow down and eventually stop if it doesn't encounter
    9·1 answer
  • A ratio is another name for a decimal true or false
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!