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Answer :
Final answer:
To find the constant force applied to the block sliding on a rough surface, calculate the net force considering friction. The answer is option (a) 45.0 N.
Explanation:
To determine the magnitude of the constant force applied to a block of mass 6.00 kg with a coefficient of kinetic friction ( extmu) of 0.300, we use the equation for force due to friction: F_{fric} = extmu imes N, where N is the normal force. Considering the block is on a horizontal surface, the normal force is equal to the gravitational force on the block, so N = mg, where m is the mass and g is the acceleration due to gravity (9.8 m/s2).
The magnitude of the constant force applied to the block can be calculated using Newton's second law and taking into account the frictional force:
Sum of forces = mass x acceleration
20 N - (6.00 kg x 9.81 m/s^2 x 0.300) = 6.00 kg x acceleration
The constant force applied to the block is option (a) 45.0 N.
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