Answer :
Final answer:
The force of friction on the 20 kg box is 49 N, and the acceleration of the box is 2.5 m/s². These were calculated using the formulas for the force of friction (F=μN) and acceleration (F=ma), along with given information on tension, friction coefficient, and mass.
Explanation:
The force exerted by friction, also known as the force of friction, can be found using the formula F = μN, where μ is the coefficient of friction and N is the normal or perpendicular force (which is 20 kg * 9.8 m/s² = 196 N as gravity is 9.8 m/s²). Therefore, the force of friction is 0.25 * 196 N = 49 N.
Now, we will figure out the acceleration of the box. According to Newton's second law of motion, which is F = ma, the net force is equal to the mass times the acceleration. The net force here is the difference between the tension force and the friction force (99 N - 49 N = 50 N). So, to find acceleration, we will divide the net force by the mass. Thus, acceleration = 50 N / 20 kg = 2.5 m/s².
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