The mass of A in the figure is 2 kg and the mass of B is 8 kg. The frictionalcoefficient between A and B is 0.2 and the coefficient of friction betweenB and the surface(ground) is 0.5. When a horizontal force of 25 N isapplied on B what is the frictional force between A and B?

To find the frictional force between A and B, we first need to calculate the force of gravity on both A and B.

Step 1: Calculate the force of gravity on A and B The force of gravity (Fg) is calculated by the formula Fg = m*g, where m is the mass and g is the acceleration due to gravity (approximately 9.8 m/s^2 on Earth).

For A: FgA = mg = 2 kg * 9.8 m/s^2 = 19.6 N For B: FgB = mg = 8 kg * 9.8 m/s^2 = 78.4 N

Step 2: Calculate the normal force on A and B The normal force (Fn) is the force exerted by a surface that supports the weight of an object resting on it. It acts perpendicular to the surface. In this case, the normal force on A is equal to the force of gravity on A, and the normal force on B is equal to the force of gravity on B plus the force of gravity on A (since B is supporting A).

For A: FnA = FgA = 19.6 N For B: FnB = FgB + FgA = 78.4 N + 19.6 N = 98 N

Step 3: Calculate the frictional force between A and B The frictional force (Ff) is calculated by the formula Ff = μ*Fn, where μ is the coefficient of friction and Fn is the normal force. In this case, we want to find the frictional force between A and B, so we use the normal force on A and the coefficient of friction between A and B.

FfAB = μ*FnA = 0.2 * 19.6 N = 3.92 N

So, the frictional force between A and B is 3.92 N.

To find the frictional force between A and B, we first need to calculate the force of gravity acting on A. This is given by the equation F = m * g, where m is the mass of A and g is the acceleration due to gravity.

Step 1: Calculate the force of gravity on A F = m * g F = 2 kg * 9.8 m/s^2 F = 19.6 N

The frictional force between A and B is then given by the equation F_friction = μ * F_normal, where μ is the coefficient of friction between A and B and F_normal is the normal force. In this case, the normal force is equal to the force of gravity on A.

Step 2: Calculate the frictional force between A and B F_friction = μ * F_normal F_friction = 0.2 * 19.6 N F_friction = 3.92 N

So, the frictional force between A and B is 3.92 N.