Problem 1: Consider two blocks of masses M₁ = 1 kg and M2= 1 kg joined by a rope located on a frictionless ramp as shown in the figure. Assume that the rope and pulleys have negligible masses. The inclination on one side of the ramp is an angle α, while the other side is a cliff. Gravity acceleration is g = 9.8 m/s². For such a configuration, answer the following questions: a) If the angle is a = 30°, what would be the acceleration of the blocks? Option A: 12.22 m/s² Option B: 9.8 m/s² Option C: 0 m/s² Option D: 2.45 m/s² b) If the angle is a = 30°, what is the tension in the rope? Option A: 7.35 N Option B: 9.8 N Option C: 4.9 N Option D: 10.33 N c) What is the work done by the normal force on block 1 when it moves 2 meters? Option A: 0 J Option B: 0.98 J Option C: 9.8 J Option D: 4.9 J d) What is the angle α if we know that the blocks move at a constant speed v = 0.5 m/s? Option A: 45° Option B: 90° Option C: 60° Option D: 33.33° e) How does the acceleration change if the value of both masses (M₁ and M2) were doubled? The acceleration would ... Option A: ... be multiplied by 2. Option C: ... be multiplied by 4. Option B: ... be multiplied by 1/4. Option D: ... remains the same. Figure: | 8 α M₁ M₂

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Problem 1: Consider two blocks of masses M₁ = 1 kg and M2= 1 kg joined by a rope located on a frictionless
ramp as shown in the figure. Assume that the rope and pulleys have negligible masses. The inclination on
one side of the ramp is an angle α, while the other side is a cliff. Gravity acceleration is g = 9.8 m/s². For
such a configuration, answer the following questions:
a) If the angle is a = 30°, what would be the acceleration of the blocks?
Option A: 12.22 m/s²
Option B: 9.8 m/s²
Option C: 0 m/s²
Option D: 2.45 m/s²
b) If the angle is a = 30°, what is the tension in the rope?
Option A: 7.35 N Option B: 9.8 N
Option C: 4.9 N
Option D: 10.33 N
c) What is the work done by the normal force on block 1 when it moves 2 meters?
Option A: 0 J
Option B: 0.98 J
Option C: 9.8 J
Option D: 4.9 J
d) What is the angle α if we know that the blocks move at a constant speed v = 0.5 m/s?
Option A: 45°
Option B: 90°
Option C: 60°
Option D: 33.33°
e) How does the acceleration change if the value of both masses (M₁ and M2) were doubled? The
acceleration would ...
Option A: ... be multiplied by 2.
Option C: ... be multiplied by 4.
Option B: ... be multiplied by 1/4.
Option D: ... remains the same.
Transcribed Image Text:Problem 1: Consider two blocks of masses M₁ = 1 kg and M2= 1 kg joined by a rope located on a frictionless ramp as shown in the figure. Assume that the rope and pulleys have negligible masses. The inclination on one side of the ramp is an angle α, while the other side is a cliff. Gravity acceleration is g = 9.8 m/s². For such a configuration, answer the following questions: a) If the angle is a = 30°, what would be the acceleration of the blocks? Option A: 12.22 m/s² Option B: 9.8 m/s² Option C: 0 m/s² Option D: 2.45 m/s² b) If the angle is a = 30°, what is the tension in the rope? Option A: 7.35 N Option B: 9.8 N Option C: 4.9 N Option D: 10.33 N c) What is the work done by the normal force on block 1 when it moves 2 meters? Option A: 0 J Option B: 0.98 J Option C: 9.8 J Option D: 4.9 J d) What is the angle α if we know that the blocks move at a constant speed v = 0.5 m/s? Option A: 45° Option B: 90° Option C: 60° Option D: 33.33° e) How does the acceleration change if the value of both masses (M₁ and M2) were doubled? The acceleration would ... Option A: ... be multiplied by 2. Option C: ... be multiplied by 4. Option B: ... be multiplied by 1/4. Option D: ... remains the same.
Figure:
| 8
α
M₁
M₂
Transcribed Image Text:Figure: | 8 α M₁ M₂
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