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A block of mass 10kg is placed on rough horizontal surface whose coefficient of friction is 0.5. If a horizontal force of 100N is applied on it, then acceleration of the block will be(Take g = 10 m s-2)
  • a)
    10 m s-2
  • b)
    5 m s-2
  • c)
    15 m s-2
  • d)
    0.5 m s-2
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
A block of mass 10kg is placed on rough horizontal surface whose coeff...
Here, m = 10 kg, g= 10 m s-2, μ = 0.5, F = 100N
Force of friction
f = μN = μMg = (0.5)(10)(10) = 50N

Force  that produce acceleration
F' = F - f = 100 N - 50 N = 50 N
a = F'/ m = 50 N / 10 kg = 5 m s-2
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Most Upvoted Answer
A block of mass 10kg is placed on rough horizontal surface whose coeff...
Given Data
- Mass of the block (m) = 10 kg
- Coefficient of friction (μ) = 0.5
- Applied force (F) = 100 N
- Acceleration due to gravity (g) = 10 m/s²
Calculating Frictional Force
The maximum frictional force (f_max) can be calculated using the formula:
- f_max = μ * Normal force
- Normal force = m * g = 10 kg * 10 m/s² = 100 N
- f_max = 0.5 * 100 N = 50 N
Net Force Acting on the Block
The net force (F_net) acting on the block can be calculated as:
- F_net = Applied force - Frictional force
- Since the applied force (100 N) is greater than the frictional force (50 N), the frictional force opposing the motion will be 50 N.
- F_net = 100 N - 50 N = 50 N
Calculating Acceleration
Now, we can calculate the acceleration (a) of the block using Newton's second law:
- F_net = m * a
- 50 N = 10 kg * a
- a = 50 N / 10 kg = 5 m/s²
Conclusion
Thus, the acceleration of the block when a horizontal force of 100 N is applied is:
- 5 m/s²
Therefore, the correct answer is option B.
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