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
qwelly [4]
3 years ago
10

A woman at an airport is towing her 20.0-kg suitcase at constant speed by pulling on a strap at an angle θ above the horizontal.

She pulls on the strap with a 35.0-N force, and the friction force on the suitcase is 20.0 N. What is the magnitude of the normal force that the ground exerts on the suitcase?

Physics
1 answer:
Elza [17]3 years ago
7 0

Answer:

Normal force: 167.48 N

Explanation:

  • First of all it is necessary to draw the free body diagram of the suitcase adding alll the forces stated on the question: the normal force, the friction force and pull force exterted by the woman. Additionally, we need to add the weight, the forces exerted by Earth's gravity. I attached the diagram so you can check it.
  • We need to resolve all the unknown quantities on this exercise, so we need to write down the sum of forces equations on X-Axis and Y-axis. Remember that force exerted by the woman has an angle with respect the horizontal (X-Axis),  that is to say it has force compoents on both X and Y axis.  The equations  will be equal to zero since the suitcase  is at constant speed (acceleration is zero).

        ∑F_{x}:  F{x}-20 = 0  

        ∑F_{y}: N -W+F_{y}=0

  • Our objetive is to find the value of the normal force. It means we can solve the sum of Y-axis for N. The solution would be following:

       N = W - Fy

  • Keep in mind Weight of the suitcase (W) is equal to the suitcase mass times the acceleration caused by gravity (9.81\frac{m}{s^{2}}. Furthermore, Fy can be replaced using trigonometry as Fsin(\theta) where θ is the angle above the horizontal. So the formula can be written in this way:

        N = mg -Fsin(\theta)

  • We need to find the value of θ so we can find the value of N. We can find it out solving the sum of forces on X-axis replacing <em>Fx</em> for Fcos(θ). The equation will be like this:

        Fcos(\theta) -20 = 0   ⇒   Fcos(\theta) = 20\theta                            [tex]\theta=cos^{-1}(20/F)

  • Replacing the value of F we will see θ has a value of 55.15°. Now we can use this angle to find the value of N. Replacing mass, the gravity acceleration and the angle by their respective values, we will have the following:

       N = 20 x 9.81 - 35sin(55.15)  ⇒ N = 167.48 N

You might be interested in
PLEASE HELP ME ASAP PLEASEEEEE
AleksAgata [21]
I believe its the law of inertia
6 0
3 years ago
If the frequency of the motion of a simple harmonic oscillator is doubled, by what factor does the maximum speed of the oscillat
Maksim231197 [3]

Answer:

If the frequency of the motion of a simple harmonic oscillator is doubled , then maximum speed of the oscillator changes by the factor 2

Explanation:

We know that in a simple harmonic oscillator the maximum speed is given by

    v_{max} = Aw

  Here A is amplitude which is constant , so from above equation we see that maximum speed is directly proportional to w\\ of the oscillation .

  Since  w = 2 \pi f

      v_{max}^{|}/v_{max} = 2f/f = 2

  Where v_{max}^{|} is the maximum speed when frequency is doubled .

6 0
3 years ago
A baseball thrown by a pitcher is hit by a batter. At the moment when the ball hits the bat, the force exerted on the bat by the
Slav-nsk [51]

Newton's Laws of motion describe the motion of an object based on the applied force

The correct option that gives the relationships between the forces is the the option;

\underline{F_{ball}}<u> on bat</u> = \underline{F_{bat}}<u> on ball</u>

<em>(Either option A or B without the minus symbol before </em>F_{bat}<em>, likely typographical error)</em>

<em />

Reason:

Force exerted on the bat by the ball = F_{ball}

Force exerted on the ball by the bat = F_{bat}

Given that the batter hits the ball with the bat, the force exerted by the bat on the ball, F_{bat}, is reacted to by the force of the ball acting on the bat, F_{ball}

According to Newton's third law of motion, action and reaction are equal and opposite. Therefore, at the moment when the ball hits the bat, we have;

\underline{F_{ball}}<u> on bat</u> = \underline{F_{bat}}<u> on ball</u>

<em>Where the force of the bat is high, the ball is accelerated to travel at high speed</em>

Learn more Newton's Laws of motion here:

brainly.com/question/24522313

8 0
2 years ago
What are organelles?<br>Which part of a cell holds organelles?​
DanielleElmas [232]

Answer:

An organelle is a structure in a cell that has specific jobs to do. Organelles are held in the cytoplasm

3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!!! A huge thanks to anyone who can help me with 14 problems. I'll do anything to return the favor. All true an
snow_lady [41]
Hello, I see you are in a jam. Lemme help.

1.) True
2.) True
3.) True
4.) True
5.) True

LOL these are all true ;)
4 0
3 years ago
Other questions:
  • Almost all weather occurs in the a. troposphere. c. mesosphere. b. stratosphere. d. thermosphere.
    15·1 answer
  • Como es el movimiento uniforme de los pedales de una bicicleta? a) con respeto a la Tierra b) con respecto al ciclista.
    10·1 answer
  • If the current in a wire of a cd player is 12.0 ma, how long would it take for 6.50 c of charge to pass a point in this wire? an
    8·1 answer
  • What properties does a loud, shrill whistle have? a.) high amplitude, high frequency
    7·1 answer
  • In general, as the energy of a sound wave increases, A. the sound gets softer and then louder. B. the sound gets louder. C. the
    10·2 answers
  • Using the law of conservation of energy, what will be the KE of an arrow having a PE of 65J after it is shot from a bow?
    6·1 answer
  • If you have a liquid with a mass of 6g and a density of 25g/ml, what volume of liquid do you have?
    6·1 answer
  • 1 ) when a ball is projected upwords its time of rising is ...............the time of falling .
    8·1 answer
  • 1)What is the use of the information obtained from remote sensing camera
    12·1 answer
  • Assume your mass is 84 kg. The acceleration due to gravity is 9.8 m/s 2 . How much work against gravity do you do when you climb
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!