Calculating acceleration of plane when given mass, friction force and Vi

AI Thread Summary
To calculate the acceleration of a 2000 kg plane landing at 50 m/s with a friction force of 500 N, it's essential to recognize that the friction force is 1/4 of the plane's weight. The weight of the plane is calculated as 2000 kg multiplied by the acceleration due to gravity (approximately 9.81 m/s²), resulting in a weight of about 19620 N. Therefore, the friction force should actually be 4905 N, not 500 N. The net force acting on the plane can be expressed as Fnet = ma, where the net force equals the weight minus the friction force. Correctly applying these values will yield the plane's acceleration.
Blobikins
Messages
25
Reaction score
0

Homework Statement


A 2000 kg plane is landing at an airfield with an initial speed of 50 m/s. The force of friction is 1/4 the weight of the plane. What is the acceleration of the plane?

Homework Equations



Fnet = ma

Fnet = something - ff

The Attempt at a Solution



2000a = thing I don't know - ff, which is 500 n

So

2000a = ? - 500N

What force am I missing?
 
Physics news on Phys.org
Blobikins said:
What force am I missing?
Why are you convinced you are missing a force?
 
Blobikins said:

Homework Statement


A 2000 kg plane is landing at an airfield with an initial speed of 50 m/s. The force of friction is 1/4 the weight of the plane. What is the acceleration of the plane?

Homework Equations



Fnet = ma

Fnet = something - ff

The Attempt at a Solution



2000a = thing I don't know - ff, which is 500 n

So

2000a = ? - 500N

What force am I missing?
You're missing the fact that 500 N is ≠ 1/4 of the weight of the plane. Remember, 2000 kg is the mass of the plane, not its weight.
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Calculation of Box's Acceleration on a Trailer with Friction
Replies
9
Views
1K
How Do I Determine Force of Static Friction on a Rolling Car
Replies
15
Views
2K
About steel balls of different masses and net force
Replies
7
Views
3K
Acceleration of object with friction: Homework help
Replies
1
Views
2K
Compute acceleration on an inclined plane with friction
Replies
5
Views
2K
Calculating Net Force and Friction: Understanding Newton's Laws of Motion
Replies
9
Views
3K
Dynamics ramp and friction. Finding angle?
Replies
4
Views
2K
Determine the frictional force
Replies
13
Views
2K
How do you find tension and friction on an inclined plane
Replies
31
Views
18K
How Does Friction Affect Pulley Systems on Inclined Planes?
Replies
6
Views
3K

Hot Threads

Recent Insights

Back
Top