Let m₁ = 2.1 kg block and m₂ = 4.3 kg block. The ramp angle 8 = 40°. Assume all quantities are correct to 2 significant figures. (i) Find the acceleration for the two blocks. Enter to 2 significant figures a= m

icon
Related questions
Question

Please answer all parts and i will rate highly! *28

Subpart 3: CALCULATE NUMERICAL VALUES
m₁
= 2.1 kg block and m₂ = 4.3 kg block. The ramp angle 0 = 40°. Assume all quantities are
correct to 2 significant figures.
Let
(i) Find the acceleration for the two blocks.
Enter to 2 significant figures
a =
m
s²
(ii) Find the tension in the string.
Enter to 2 significant figures
T=
✔N
Transcribed Image Text:Subpart 3: CALCULATE NUMERICAL VALUES m₁ = 2.1 kg block and m₂ = 4.3 kg block. The ramp angle 0 = 40°. Assume all quantities are correct to 2 significant figures. Let (i) Find the acceleration for the two blocks. Enter to 2 significant figures a = m s² (ii) Find the tension in the string. Enter to 2 significant figures T= ✔N
1. A block of mass m, and a block of mass m₂ are connected by a light string as shown; the inclination
of the ramp is 0. Friction is negligible.
Assume that m₂ > m₁.
Ꮎ
1
2
Subpart 1: Draw FBDs
In your notebook, draw a free body diagrams of m₁ and m₂ using the template as shown below. The
forces acting on the system are weights of the blocks, m₁g, and måg, the tension in the string 7 and
the normal reaction N₁ of the table on m₁.
1
Note: The choice of the coordinate axes for the two blocks can be different as shown below:
(i) Newton's Second Law for m₁ in terms of weights of the blocks, m₁g, and m₂g, or their components
in terms of the ramp angle 8, the tension in the string 7 and the normal reaction N₁ of the table on
m₁ can be written as (use the coordinate axes for signs of different forces):
ΣF₂=
✔=m₁a₁₁x
X
ΣFy=
=m₁a₁,y
(ii) Newton's Second Law for m₂ in terms of weights of the blocks, måg, and måg, or their
components in terms of the ramp angle the tension in the string 7 and the normal reaction N₁ of
the table on m, can be written as:
Note: The motion of m₂ is along the y-direction only.
ΣF=
= 0
= m₂a2,y
(iii) How are the magnitudes of a, and a related? What are the directions of a, and a₂?
Magnitude:
A. |a₁| is greater than |a₂|
B. |a₁| is less than |a₂|
C. |a₁| is equal to |a₂|
Direction:
A.
a₁ is in the positive x direction, and a2 is in the positive y-direction.
B. a, is in the positive x direction, and a is in the negative y-direction.
C. a, is in the negative x direction, and an is in the positive y-direction.
D. a, is in the negative x direction, and a₂ is in the negative y-direction.
Subpart 3: CALCULATE NUMERICAL VALUES
Let m₁ = 2.1 kg block and m₂ = 4.3 kg block. The ramp angle 0= 40°. Assume all quantities are
correct to 2 significant figures.
Transcribed Image Text:1. A block of mass m, and a block of mass m₂ are connected by a light string as shown; the inclination of the ramp is 0. Friction is negligible. Assume that m₂ > m₁. Ꮎ 1 2 Subpart 1: Draw FBDs In your notebook, draw a free body diagrams of m₁ and m₂ using the template as shown below. The forces acting on the system are weights of the blocks, m₁g, and måg, the tension in the string 7 and the normal reaction N₁ of the table on m₁. 1 Note: The choice of the coordinate axes for the two blocks can be different as shown below: (i) Newton's Second Law for m₁ in terms of weights of the blocks, m₁g, and m₂g, or their components in terms of the ramp angle 8, the tension in the string 7 and the normal reaction N₁ of the table on m₁ can be written as (use the coordinate axes for signs of different forces): ΣF₂= ✔=m₁a₁₁x X ΣFy= =m₁a₁,y (ii) Newton's Second Law for m₂ in terms of weights of the blocks, måg, and måg, or their components in terms of the ramp angle the tension in the string 7 and the normal reaction N₁ of the table on m, can be written as: Note: The motion of m₂ is along the y-direction only. ΣF= = 0 = m₂a2,y (iii) How are the magnitudes of a, and a related? What are the directions of a, and a₂? Magnitude: A. |a₁| is greater than |a₂| B. |a₁| is less than |a₂| C. |a₁| is equal to |a₂| Direction: A. a₁ is in the positive x direction, and a2 is in the positive y-direction. B. a, is in the positive x direction, and a is in the negative y-direction. C. a, is in the negative x direction, and an is in the positive y-direction. D. a, is in the negative x direction, and a₂ is in the negative y-direction. Subpart 3: CALCULATE NUMERICAL VALUES Let m₁ = 2.1 kg block and m₂ = 4.3 kg block. The ramp angle 0= 40°. Assume all quantities are correct to 2 significant figures.
Expert Solution
steps

Step by step

Solved in 4 steps with 15 images

Blurred answer