Respuesta :
Answer:
The magnitude of the force you must exert on the rope in order to accelerate upward is 705.6 N
Explanation:
The magnitude of force, you must exert can be estimated as follows;
Since it is upward motion, we must consider acceleration due to gravity which opposes the upward motion.
F = m(a+g)
where;
F is the magnitude of the upward force
m is your mass, which is the measure of inertia = 63kg
a is the acceleration of the rope = 1.4 m/s²
F = 63(1.4 + 9.8)
F = 63(11.2)
F = 705.6 N
Therefore, the magnitude of the force you must exert on the rope in order to accelerate upward is 705.6 N
Answer:
705.6 N
Explanation:
Force: This can be defined as the product of mass a acceleration.
The S.I unit of force is Newton.
The expression for the force on the rope in order to accelerate upward is given as,
F-W = ma .......................... Equation 1
Where F = Force exerted on the rope, W = weight of the rope, m = mass of the rope, a = acceleration.
But,
W = mg........................ Equation 2
Where g = acceleration due to gravity
substitute equation 2 into equation 1
F-mg = ma
F = ma+mg
F = m(a+g).............. Equation 3
Given: m = 63 kg, a = 1.4 m/s²
Constant: g = 9.8 m/s²
Substitute into equation 3
F = 63(1.4+9.8)
F = 63(11.2)
F = 705.6 N
The magnitude of the force exerted on the rope = 705.6 N