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A block of mass 2 kgs is laying on a rough line playing the force needed to move the block up the in plane with the uniform velocity by applying a force parallel to the plane is 100 newtons the force needed to move the block up with the acceleration of 2 m per second square is?
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A block of mass 2 kgs is laying on a rough line playing the force need...
To determine the force needed to move a block of mass 2 kg up a rough inclined plane with an acceleration of 2 m/s², we will analyze the forces acting on the block.
Given Data:
- Mass of the block (m) = 2 kg
- Force to move the block with uniform velocity (F₁) = 100 N
- Acceleration (a) = 2 m/s²
Step 1: Calculate the Weight of the Block
- The weight (W) of the block is given by:
W = m × g
Where g = 9.81 m/s² (acceleration due to gravity)
W = 2 kg × 9.81 m/s² = 19.62 N
Step 2: Identify Forces Acting on the Block
- There are two main forces acting on the block:
1. The applied force (F)
2. The frictional force (f)
3. The component of weight acting down the incline (W*sin(θ))
Step 3: Calculate the Frictional Force
- When the block moves with uniform velocity, the applied force equals the frictional force plus the component of weight:
F₁ = f + W*sin(θ)
Given that F₁ = 100 N, we can express f (frictional force).
Step 4: Calculate the Force for Acceleration
- When moving with acceleration, the net force is given by:
F = f + W*sin(θ) + m*a
Substituting the known values:
F = f + W*sin(θ) + (2 kg × 2 m/s²)
F = f + W*sin(θ) + 4 N
- From the uniform velocity condition, we know that:
f = F₁ - W*sin(θ) = 100 N - W*sin(θ)
- Substitute f back into the equation to find the new force F needed to move with acceleration.
Final Calculation:
- The total force needed to accelerate the block is:
F = 100 N + 4 N = 104 N
Thus, the force required to move the block up the incline with an acceleration of 2 m/s² is **104 N**.
Given Data:
- Mass of the block (m) = 2 kg
- Force to move the block with uniform velocity (F₁) = 100 N
- Acceleration (a) = 2 m/s²
Step 1: Calculate the Weight of the Block
- The weight (W) of the block is given by:
W = m × g
Where g = 9.81 m/s² (acceleration due to gravity)
W = 2 kg × 9.81 m/s² = 19.62 N
Step 2: Identify Forces Acting on the Block
- There are two main forces acting on the block:
1. The applied force (F)
2. The frictional force (f)
3. The component of weight acting down the incline (W*sin(θ))
Step 3: Calculate the Frictional Force
- When the block moves with uniform velocity, the applied force equals the frictional force plus the component of weight:
F₁ = f + W*sin(θ)
Given that F₁ = 100 N, we can express f (frictional force).
Step 4: Calculate the Force for Acceleration
- When moving with acceleration, the net force is given by:
F = f + W*sin(θ) + m*a
Substituting the known values:
F = f + W*sin(θ) + (2 kg × 2 m/s²)
F = f + W*sin(θ) + 4 N
- From the uniform velocity condition, we know that:
f = F₁ - W*sin(θ) = 100 N - W*sin(θ)
- Substitute f back into the equation to find the new force F needed to move with acceleration.
Final Calculation:
- The total force needed to accelerate the block is:
F = 100 N + 4 N = 104 N
Thus, the force required to move the block up the incline with an acceleration of 2 m/s² is **104 N**.
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A block of mass 2 kgs is laying on a rough line playing the force needed to move the block up the in plane with the uniform velocity by applying a force parallel to the plane is 100 newtons the force needed to move the block up with the acceleration of 2 m per second square is?
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A block of mass 2 kgs is laying on a rough line playing the force needed to move the block up the in plane with the uniform velocity by applying a force parallel to the plane is 100 newtons the force needed to move the block up with the acceleration of 2 m per second square is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A block of mass 2 kgs is laying on a rough line playing the force needed to move the block up the in plane with the uniform velocity by applying a force parallel to the plane is 100 newtons the force needed to move the block up with the acceleration of 2 m per second square is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A block of mass 2 kgs is laying on a rough line playing the force needed to move the block up the in plane with the uniform velocity by applying a force parallel to the plane is 100 newtons the force needed to move the block up with the acceleration of 2 m per second square is?.
A block of mass 2 kgs is laying on a rough line playing the force needed to move the block up the in plane with the uniform velocity by applying a force parallel to the plane is 100 newtons the force needed to move the block up with the acceleration of 2 m per second square is? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A block of mass 2 kgs is laying on a rough line playing the force needed to move the block up the in plane with the uniform velocity by applying a force parallel to the plane is 100 newtons the force needed to move the block up with the acceleration of 2 m per second square is? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A block of mass 2 kgs is laying on a rough line playing the force needed to move the block up the in plane with the uniform velocity by applying a force parallel to the plane is 100 newtons the force needed to move the block up with the acceleration of 2 m per second square is?.
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