A block of mass 1kglies on a horizontal surface in a truck. The coeffi...
Maximum friction
Pseudo force =
ma = 5
Nacceleration due to the applied Pseudo force
So
required friction force is only 5N although maximum friction force available is 6N.
The correct answer is: 5 N
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A block of mass 1kglies on a horizontal surface in a truck. The coeffi...
Friction is the force that opposes the relative motion between two surfaces in contact. In this case, the block and the horizontal surface are in contact, and the friction force prevents the block from sliding on the surface.
Given:
Mass of the block, m = 1 kg
Acceleration of the truck, a = 5 m/s^2
Coefficient of static friction, μ = 0.6
To find: Friction force acting on the block
1. Identifying the Forces:
There are two forces acting on the block:
- The force due to gravity, which can be calculated as the product of mass and acceleration due to gravity (9.8 m/s^2). This force is vertically downward and can be represented as Fg = m * g.
- The friction force, which opposes the motion of the block and acts horizontally. This force is given by Ff = μ * N, where N is the normal force.
2. Calculating the Normal Force:
The normal force is the force exerted by a surface to support the weight of an object resting on it. In this case, the normal force is equal to the force due to gravity acting on the block. Therefore, N = Fg = m * g = 1 kg * 9.8 m/s^2 = 9.8 N.
3. Calculating the Friction Force:
The friction force can be determined using the equation Ff = μ * N. Substituting the values, we get:
Ff = 0.6 * 9.8 N = 5.88 N.
However, it's important to note that this is the maximum static friction force. The actual friction force depends on the force applied to overcome it. In this case, the force applied is the horizontal component of the acceleration of the truck.
4. Comparing with the Applied Force:
The friction force acts in the opposite direction of the applied force. Since the acceleration is in the positive x-direction, the friction force acts in the negative x-direction. Therefore, the magnitude of the friction force is equal to the applied force.
Given that the acceleration of the truck is 5 m/s^2, the friction force acting on the block is 5 N. Hence, the correct answer is option C) 5 N.