Newton's second law allows us to find the force applied to the student so that it has an upward acceleration of 27.4 m / s² is:
F = 1.94 10³ N
Newton's second law says that the force is proportional to the product of the mass and the acceleration of the body.
∑ F = m a
Where F is the force, m the mass and the acceleration of the body.
A free body diagram is a diagram of the forces without the details of the bodies, in the attachment we have a free body diagram of the system.
They indicate that the student's mass is 52.1 kg and his acceleration is 27.4 m / s², let's write Newton's second law.
F - W = ma
F = m a + W
Body weight is.
W = mg
F = m (a + g)
We calculate.
F = 52.1 (27.4+ 9.8)
F = 1.94 10³ N
In conclusion using Newton's second law we can find the force applied to the student is:
F = 1.94 10³ N
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