IB A4.4 - Inclined Planes

Get the assessment: FA04.4.docx

The Assessment Solved:

Show your work, round to the correct significant figures, circle your answers, and label them with units. Label your accelerations or forces either "Up the plane" or "Down the plane" explicitly.

A 5.20 kg block of wood is on a 30.0^o inclined plane where the static coefficient of friction is 0.650, and the kinetic is 0.120.

6:14 I FA4 4 Part #0 Where I calculate these values below

Fparallel = 25.506 N

Fkinetic = 5.301 N

Fstatic = 28.715 N

1. Will the block stay on the plane if it is initially at rest? Back up your answer with numbers. What is the acceleration of the block if it is sliding freely down the plane?

(Yes, the maximum static friction, 28.7 N is larger than the parallel component of gravity which is 25.5 N, a = -3.89 m/s/s (Accelerating))

2. If the block is sliding up the plane, and there is a force of 14.0 N down the plane, what is the acceleration of the block?

(-8.62 m/s/s (Decelerating))

3. If the block is sliding down the plane, and there is a force of 7.50 N up the plane, what is the acceleration of the block?

(-2.44 m/s/s (Accelerating))

4. If the block is sliding up the plane, but decelerating at 5.34 m/s/s, what outside force must be acting on the block?

(+3.04 N (Up the plane))

5. If the block is sliding down the plane, and accelerating at 2.28 m/s/s down the plane, what force is acting on the block?

(+8.35 N (Up the plane))

More Practice Problems:

Get this Document: Worksheet-InclinedPlanes4.4.docx

Show your work, round to the correct significant figures, circle your answers, and label them with units. Label your accelerations or forces either "Up the plane" or "Down the plane" explicitly.

1. A 3.10 kg block of wood is on a 51.0^o inclined plane where the static coefficient of friction is 0.520, and the kinetic is 0.380

a. Will the block stay on the plane if it is initially at rest? Back up your answer with numbers.

b. What is the acceleration of the block if it is sliding down the plane and there is a force of 9.20 N up the plane?

c. What is the acceleration of the block if it is sliding up the plane and there is a force of 52.0 N up the plane?

4.What applied force would cause the block to slide down the plane with an acceleration of 4.50 m/s/s down the plane?

e. What applied force would cause the block to slide up the plane with an deceleration of 1.80 m/s/s?

22:31 FA4 4 Ex 1 (In Which I do the whole flippin' assessment with a doc cam that every now and then freezes up)

2. A 1.40 kg block of wood is on a 27.0^o inclined plane where the static coefficient of friction is 0.220, and the kinetic is 0.105 5:10 FA4 4 Ex 2 Part 0

a. What is the acceleration of the block if it is sliding freely down the plane? 1:52 FA4 4 Ex 2 Part a

b. What is the acceleration of the block if it is sliding down the plane and there is a force of 6.20 N down the plane? 2:33 FA4 4 Ex 2 Part b

c. What is the acceleration of the block if it is sliding up the plane and there is a force of 2.80 N down the plane? 3:06 I FA4 4 Ex 2 Part c

d. What applied force would cause the block to slide down the plane with an deceleration of 3.60 m/s/s? 2:35 I FA4 4 Ex 2 Part d

e. What applied force would cause the block to slide up the plane with an acceleration of 3.90 m/s/s up the plane? 2:37 I FA4 4 Ex 2 Part e

3. A 4.50 kg block of wood is on a 39.0^o inclined plane where the static coefficient of friction is 0.365, and the kinetic is 0.215 4:45 I FA4 4 Ex 3 Part 0

a. What is the acceleration of the block if it is sliding freely down the plane?2:11 FA4 4 Ex 3 Part a

b. What is the acceleration of the block is it is sliding up the plane and there is a force of 54.0 N up the plane? 2:40 I FA4 4 Ex 3 Part b

c. What is the acceleration of the block if it is sliding down the plane, and there is a force of 16.2 N acting up the plane? 3:13 I FA4 4 Ex 3 Part c

d. What applied force would make the block slide up the plane, but decelerate at 13.8 m/s/s? 4:03 I FA4 4 Ex 3 Part d

e. What applied force would make the block slide down the plane with an acceleration of 2.85 m/s/s down the plane? 4:03 FA4 4 Ex 3 Part e

4. A 24.0 kg block of wood is on a 22.0^o inclined plane where the static coefficient of friction is 0.385, and the kinetic is 0.225

F|| = 88.197 N
Fperp = 218.296 N
FFstat = 84.044 N
FFdyn = 49.117 N

a. What is the acceleration of the block if it is sliding freely down the plane?

b. What is the acceleration of the block if it is sliding down the plane and there is a force of 56.0 N down the plane?

c. What is the acceleration of the block if it is sliding up the plane and there is a force of 152 N up the plane?

d. What applied force would cause the block to slide up the plane with an acceleration of 6.37 m/s/s up the plane?

e. What applied force would cause the block to slide down the plane with an acceleration of 5.54 m/s/s down the plane?

5. A 16.2 kg block of wood is on a 36.0^o inclined plane where the static coefficient of friction is 0.730, and the kinetic is 0.415

F|| = 93.412 N
Fperp = 128.571 N
FFstat = 93.857 N
FFdyn = 53.357 N

a. Will the block stay on the plane if it is initially at rest? Back up your answer with numbers.

b. What is the acceleration if the block is sliding up the plane, and there is a force of 130. N down the plane?

c. What is the acceleration of the block if it is sliding down the plane, and there is a force of 180. N down the plane?

d. What applied force is needed to make the block slide up the plane and accelerate up the plane at 6.00 m/s/s?

e. What applied force is necessary to make the block slide down the plane, but decelerate at 3.00 m/s/s?

The Instruction for this unit:

I will try to explain this part in class...

2:31

Forces on an Inclined Plane

The Noteguide: NoteGuide-InclinedPlanesExample.docx

Yeah - watch all of these, (parts A-E)