1) Weight of the person: 490 N
2) Maximum torque: 245 Nm
Explanation:
1)
The weight of a body is equal to the gravitational force exerted on the body; it is given by the equation
[tex]F=mg[/tex]
where
m is the mass of the body
g is the acceleration due to gravity
For the person in this problem,
m = 50 kg is the mass
[tex]g=9.8 m/s^2[/tex] is the acceleration due to gravity on Earth's surface
Therefore, the weight of the person is
[tex]F=(50)(9.8)=490 N[/tex]
2)
The turning force (also called torque) exerted by a force rotating an object is given by
[tex]\tau = Fd sin \theta[/tex]
where
F is the magnitude of the force
d is the length of the arm (the distance between the force and the pivotal point)
[tex]\theta[/tex] is the angle between the direction of the force and the arm
For the spanner in this problem,
F = 490 N is the force applied (the weight of the person)
d = 0.5 m is the arm (the length of the spanner)
The maximum torque is obtained when [tex]\theta=90^{\circ}[/tex], therefore it is:
[tex]\tau=(490)(0.5)(sin 90^{\circ})=245 N\cdot m[/tex]
Learn more about weight:
brainly.com/question/8459017
brainly.com/question/11292757
brainly.com/question/12978926
About torque:
brainly.com/question/5352966
#LearnwithBrainly
