An adventurous archaeologist crosses between two rock cliffs by slowly going hand over hand along a rope stretched between the cliffs. He stops to rest at the middle of the rope. The rope will break if the tension in it exceeds 3.50×104 N. Our hero’s mass is 70.0 kg Part A If the angle θ is 13.0 degrees, find the tension in the rope. Express your answer in newtons Part B What is the smallest value the angle θ can have if the rope is not to break? Express your answer in degrees.

A cardboard box rests on the floor of an elevator. The box has a mass m = 2.75 kg and the elevator has an upward acceleration of a.   a.  Write an expression for the sum of the forces acting on the box in the y-direction, ΣFy, given that up is the positive y-direction. Your answer should be in terms of FN, m, and g.  b. Write an expression for the normal force, FN, that the block experiences in terms of the elevator's acceleration, the block's mass, and the acceleration of gravity.  c.  If the elevator's acceleration has a magnitude of g in the downward direction, what would the normal force, FN1 be in Newtons?  d.If the elevator's acceleration had a magnitude of g in the upward direction, what would the normal force FN2 be in Newtons?

And also please part c what is the magnitude of the resultant force in newtons

A teenager of mass m1 = 56 kg pushes backwards against the ground with his foot as he rides his skateboard. This exerts a horizontal force of magnitude F foot = = 18.5 N. The skateboard has m2 = 2.6 kg. a. Write an expression for the magnitude of the horizontal component of force that the ground exerts on the teenagers foot, F ground. b. Write an expression in terms to given quantities for the magnitude of the skateboard acceleration, a , while the teenager is pushing backwards on the ground? c. What is the numerical value of the magnitude of the acceleration, a, in m/s square?

Pls help

Part A A 23-kg chandelier hangs from a celling on a vertical 4.0-m-long wire. What horizontal force would be necessary to displace its position 0.15 m to one side? Express your answer to two significant figures and include the approprlate on b F = Value Units Submit Request Answer Part B What will be the tension in the wire? Express your answer to two significant figures and include the appropriate units. Fr Value Units Submit Request Answer