Question

The above free body diagram, the forces are acting on a 4.70 kg object. The x-axis...

The above free body diagram, the forces are acting on a 4.70 kg object. The x-axis is tilted up from the horizontal by 39.5 degrees. The magnitudes of the three forces are given by:
Force F1: 77.0 N
Force F2: 74.0 N
Force F3: 66.0 N.
What is the magnitude of the acceleration of the object?

https://gyazo.com/a6bdfe7746936d6ad1dec213f4c0fd51

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

The image that is referred in the problem is given as:

Now, let us consider, the original coordinate system as XY axes shown in the following figure.

As we can see, F2 is along -Y direction, where as the other two forces, F1, F3 are making angle with X, Y axes. So, let us find out the respective X, Y components of those forces to sum over to get the resultant force direction and magnitude.

So, the net force acting on the object of mass 4.7kg is,

Hence, the magnitude of acceleration is,

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Three forces acting on an object are given by F1 = (−1.55î + 7.15ĵ) N, F2...
Three forces acting on an object are given by F1 = (−1.55î + 7.15ĵ) N, F2 = (5.10î − 1.4ĵ) N, and F3 = (−43.5î) N. The object experiences an acceleration of magnitude 3.55 m/s2. a. What is the direction of the acceleration? (Counterclockwise from the x-axis) b. What is the mass of the object? (kg) c. If the object is initially at rest, what is its speed after 17.0 s? d. What are the velocity components of the object...
Three forces acting on an object are given by F1 = (−1.9î + 6.25ĵ) N, F2...
Three forces acting on an object are given by F1 = (−1.9î + 6.25ĵ) N, F2 = (4.60î − 2.4ĵ) N, and F3 = (−50î) N. The object experiences an acceleration of magnitude 3.90 m/s2. (a) What is the direction of the acceleration? (b) What is the mass of the object? (c) If the object is initially at rest, what is its speed after 17.0 s? (d) What are the velocity components of the object after 17.0 s? (Let the...
Three forces act on an object (at the origin of a rectangular coordinate system). Force one,...
Three forces act on an object (at the origin of a rectangular coordinate system). Force one, F1, has a magnitude of 5.81 N and a direction Theta1 = 77.0 degrees, force two, F2, has a magnitude of 4.88 N and a direction of Theta2, = 156 degrees, and a force three F3, has a magnitude of 4.52 N and a direction of Theta 3 = 289 degrees. add these three vectors using the component method of vector addition. Call the...
There are three forces acting on an object. Force 1 is 50 N in the -x...
There are three forces acting on an object. Force 1 is 50 N in the -x direction. Force 2 is 82 N in the +y direction. Force 3 is 48 N at an angle of 23 degrees below the +x axis. What is the magnitude of the net force on the object (in N)?
PLEASE ANSWER ALL 3 PROBLEMS! (1) Only two horizontal forces act on a 3.0 kg body...
PLEASE ANSWER ALL 3 PROBLEMS! (1) Only two horizontal forces act on a 3.0 kg body that can move over a frictionless floor. One force is 9.0 N, acting due east, and the other is 8.8 N, acting 52° north of west. What is the magnitude of the body's acceleration? (2) Two horizontal forces act on a 1.8 kg chopping block that can slide over a frictionless kitchen counter, which lies in an xy plane. One force is F1 =...
Only two horizontal forces act on a 1.2 kg body. One force is 6.4 N, acting...
Only two horizontal forces act on a 1.2 kg body. One force is 6.4 N, acting due east, and the other is 7.4 N, acting 64° north of west. What is the magnitude of the body's acceleration?
You are told that an object has zero acceleration. Two forces on the object are: F_1...
You are told that an object has zero acceleration. Two forces on the object are: F_1 has magnitude 2.4 N at 45 degrees above the +x-axis and F_2 has magnitude 4.8 N at 37 degrees below the -x-axis. What is the third force that must be acting on the object?
Two forces F1 and F2 act on an object. Each force is specified as an ordered...
Two forces F1 and F2 act on an object. Each force is specified as an ordered pair: its magnitude in Newtons and an angle measured in degrees counter-clockwise from the positive x-axis. Let F1 = (27.0 N, ∠115° )and F2 = (83.0 N, ∠240° ). Calculate the magnitude the vector F1 - F2. Include three significant figures in your answer. (If the last digit is a zero, Canvas will not display it but that's OK.) Please HELP!
Two forces are acting on a 2.0 kg object that moves with acceleration 7.0 m/s2 in...
Two forces are acting on a 2.0 kg object that moves with acceleration 7.0 m/s2 in the positive y-direction. If one of the forces acts in the positive x-direction and has magnitude of 18 N, what is the magnitude of the other force (in N)?
Two forces are acting on an object of 10 kg. Force 1 is 10 N pointing...
Two forces are acting on an object of 10 kg. Force 1 is 10 N pointing north. Force 2 is 20 N pointing west. What would be the magnitude and direction of the acceleration of the particle?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT