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A body of mass 2 kg is kept by pressing to a vertical wall by a force of 100 N. The friction between wall and body is 0.3. The the frictional force is equal to
- a)6 N
- b)20 N
- c)600 N
- d)700 N
Correct answer is option 'B'. Can you explain this answer?
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A body of mass 2 kg is kept by pressing to a vertical wall by a force ...
Given:
Mass of the body, m = 2 kg
Force applied on the body, F = 100 N
Coefficient of friction, μ = 0.3
To find: Frictional force, f
Solution:
1. Free body diagram:
The forces acting on the body are:
- Force applied on the body, F
- Normal force by the wall, N
- Frictional force, f
2. Calculation of normal force:
The normal force is perpendicular to the wall and balances the weight of the body.
Weight of the body = m * g, where g is the acceleration due to gravity.
Here, g = 9.8 m/s^2
Weight of the body = 2 * 9.8 = 19.6 N
Therefore, N = 19.6 N
3. Calculation of frictional force:
Frictional force, f = μ * N
f = 0.3 * 19.6 = 5.88 N
4. Checking equilibrium:
In equilibrium, the net force acting on the body is zero.
Net force = F - f = 100 - 5.88 = 94.12 N
Since the net force is not zero, the body is not in equilibrium.
Therefore, the frictional force is 5.88 N, which is closest to option B (20 N).
Mass of the body, m = 2 kg
Force applied on the body, F = 100 N
Coefficient of friction, μ = 0.3
To find: Frictional force, f
Solution:
1. Free body diagram:
The forces acting on the body are:
- Force applied on the body, F
- Normal force by the wall, N
- Frictional force, f
2. Calculation of normal force:
The normal force is perpendicular to the wall and balances the weight of the body.
Weight of the body = m * g, where g is the acceleration due to gravity.
Here, g = 9.8 m/s^2
Weight of the body = 2 * 9.8 = 19.6 N
Therefore, N = 19.6 N
3. Calculation of frictional force:
Frictional force, f = μ * N
f = 0.3 * 19.6 = 5.88 N
4. Checking equilibrium:
In equilibrium, the net force acting on the body is zero.
Net force = F - f = 100 - 5.88 = 94.12 N
Since the net force is not zero, the body is not in equilibrium.
Therefore, the frictional force is 5.88 N, which is closest to option B (20 N).
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A body of mass 2 kg is kept by pressing to a vertical wall by a force of 100 N. The friction between wall and body is 0.3. The the frictional force is equal toa)6 Nb)20 Nc)600 Nd)700 NCorrect answer is option 'B'. Can you explain this answer?
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