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
Tasya [4]
2 years ago
15

Three persons wants to push a wheel cart in the direction marked x in Fig. The two person push with horizontal forces F1 and F2

as F1 = 45 N 70degree And F2 = 75 N , 20 Degree (a) Find the magnitude and direction of the force that third person should exert to stop this cart. You can ignore the effects of friction. (b) If the third person exerts the force found in part (a), the cart accelerates at 200 m/S2 in the (+) x-direction. What is the weight of the cart​
Physics
1 answer:
Svetllana [295]2 years ago
3 0

Answer:

<u>I had to search the Figure on Google to solve this question.</u>

a) The magnitude of the force F₃ is:

F_{3} = 87.47 N

And the direction of F₃:

\alpha = 79.04 ^{\circ}  (with respect to the y-direction, in the third quadrant)

b) P = 4.22 N  

Explanation:

<u>I had to search the Figure on Google to solve this question.</u>

a) We can find the force of the third person as follows:

\Sigma F_{x} = F_{1x} + F_{2x} + F_{3x} = 0

\Sigma F_{y} = F_{1y} - F_{2y} + F_{3y} = 0

So, in x-direction we have:

\Sigma F_{x} = 45 N*cos(70) + 75 N*cos(20) + F_{3x} = 0

F_{3x} = -85.87 N

In y-direction we have:

\Sigma F_{y} = 45 N*sin(70) - 75 N*sin(20) + F_{3y} = 0

F_{3y} = -16.63 N

The magnitude of the force F₃ is:

F_{3} = \sqrt{F_{3x}^{2} + F_{3y}^{2}} = \sqrt{(-85.87 N)^{2} + (-16.63 N)^{2}} = 87.47 N

To find the direction of F₃ we need to calculate its angle with respect to the y-direction (in the third quadrant):

tan(\alpha) = \frac{|F_{3x}|}{|F_{3y}|} = \frac{85.87 N}{16.63 N}

\alpha = 79.04 ^{\circ}

<em>b) If the third person exerts the force found in part (a) the car will stop, so the only way for the cart to accelerate at 200 m/s² is that the third person does not exert the force found in a. </em>      

<u>To find the weight of the cart​ when it accelerates at 200 m/s², we need to consider: F₃ = 0</u>.  

First, we need to find the cart's mass. Since the car is moving in the x-direction we have:

\Sigma F_{x} = F_{1x} + F_{2x} = ma

45 N*cos(70) + 75 N*cos(20) = m*200 m/s^{2}

m = \frac{45 N*cos(70) + 75 N*cos(20)}{200 m/s^{2}} = 0.43 kg

Now, the weight of the cart​ is:

P = mg = 0.43 kg*9.81 m/s^{2} = 4.22 N

I hope it helps you!                                                                                    

You might be interested in
An object that looks white when exposed to sunlight reflects all colors of light. What
Ierofanga [76]
It looks blue as it is only reflecting blue light
6 0
3 years ago
Joe moved to a new town and was having a hard time making friends. Recently he met some people he really liked at a party. They
siniylev [52]
Joey should say no to drugs next time he is offered to smoke weed
3 0
3 years ago
Which property of a substance is not affected by physical changes?
Leokris [45]
The answer is A. Reactivity

hope this helps
8 0
3 years ago
Consider an electromagnetic wave of frequency f=3x10^6 Hz. does this radiation belong to the visible range to the ultraviolet or
In-s [12.5K]

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Explanation:

44e

3 0
3 years ago
What is great summary in physical science?
VARVARA [1.3K]
Physical Science is the study of non-living systems, as opposed to a study of biological sciences or living systems. It consists of physics, chemistry, astronomy and earth science. It also includes scientific method and experimentation
5 0
3 years ago
Other questions:
  • Question 1
    8·1 answer
  • (15pts) A hungry 12.0 kg fish is coasting from west to east at 75 cm/s when it suddenly swallows a 1 kg fish swimming towards it
    8·1 answer
  • A 0.50-T magnetic field is directed perpendicular to the plane of a circular loop of radius 0.25 m. What is the magnitude of the
    5·1 answer
  • 1. A car begins at a speed of 3 m/s and accelerates at 2 m/s2
    6·1 answer
  • What is the frequency of a wave that has a period of vibration of 2 seconds?
    5·1 answer
  • Plz help me!!!! A spring is connected to a wall as shown below. A mass on a horizontal surface is connected to the springs and p
    6·1 answer
  • Pretend for a day your non-dominant hand is broken and you can’t use of it. Pay attention to the activities you do every day. Yo
    8·1 answer
  • Which type of energy is water held back by a dam?
    6·2 answers
  • Wil-E-Coyote drops a bowling ball off a cliff to try to catch the Roadrunner. The cliff is 132m high. how far does it fall in th
    10·1 answer
  • When you push on a stationary object on a horizontal surface and it doesn't move, what kind of force is most likely opposing you
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!