Question

For a 60 kg mass, if the frictional force is 40 N, the magnitude of the applied force required to accelerate the object at 4.0 m/s2 is ___x102 N.

Answer 1

Answer on Question #41293, Physics, Mechanics

Question:

For a 60 kg mass, if the frictional force is 40 N, the magnitude of the applied force required to accelerate the object at 4.0 m/s² is ___x10² N.

Answer:

Newton’s second law of motion:

The acceleration of a body is directly proportional to, and in the same direction as, the net force acting on the body, and inversely proportional to its mass. Thus,

$$F_{net} = ma$$

where $F$ is the net force acting on the object, $m$ is the mass of the object and $a$ is the acceleration of the object.

$$F_{net} = F - F_{fr}$$

where $F$ is the applied force, $F_{fr}$ is the frictional force.

Therefore:

$$F = ma - F_{fr} = 60 \cdot 4 - 40 = 200\, N = 2 \cdot 10^{2}\, N$$

Answer: $2 \cdot 10^{2}\, N$

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