A 65-kg stuntman is trying to cross a busy street, using a rope over the street. At some point on the way he stops, as shown. Find the tensions (a) on the left side of the rope, and (b) on the right side of the rope, when the angles are ?= 800and ?= 700.

Bethany, who weighs 440 NN, lies in a hammock suspended by ropes tied to two trees. The left rope makes an angle of 45∘ with the ground; the right one makes an angle of 30∘. Find the tension in the left and right rope.

In a television commercial, a small, spherical bead of mass 4.00 g is released from rest at t = 0 in a bottle of liquid shampoo. The terminal speed is observed to be 2.00 cm/s. Find (a) the value of the constant b in the equation v = mg/b (1 − e−bt/m), and (b) the value of the resistive force when the bead reaches terminal speed.

An airplane flies at 120.0 m/s and banks at a 30° angle. If its mass is 2.50 × 103 kg, (a) what is the magnitude of the lift force? (b) what is the radius of the turn?

A painter stands on a scaffold hung by its ends from two vertical ropes A and P, 6 m apart. The scaffold weighs 200 N. The tension in A is 750 N and that in Pis 200 N. a) What is the weight of the painter? b) How far from A is he standing?

(a) Calculate the tension (in N) in a vertical strand of spiderweb if a spider of mass 8.00 x 10¯° kg hangs motionless on it. (Enter a number.) 0.000784 N (b) Calculate the tension (in N) in a horizontal strand of spiderweb if the same spider sits motionless in the middle of it much like the tightrope walker in the figure. 5.0° 5.0° T. TR w T. TR The strand sags at an angle of 15.0° below the horizontal. (Enter a number.) 0.046688914 X N Compare this with the tension in the vertical strand (find their ratio). (Enter a number.) (tension in horizontal strand) / (tension in vertical strand) =

Crates A and B have equal mass. Crate A is at rest on an incline that makes and angle of theta = 22.22 degrees horizontal, while crate B is at rest on a horizontal surface.   Write an expression for the ratio fo the normal forces, A to B in terms of theta?

A 3.00 kg block (mass 1) and a 5.00 kg block (mass 2) are connected by a light string as shown; the inclination of the ramp is 40.0°. Friction is negligible. What is: (a) the acceleration of the blocks   (b) the tension in the string?

Current Attempt in Progress There are two forces on the 1.59 kg box in the overhead view of the figure but only one is shown. For F₁ = 18.4 N, a = 10.6 m/s², and 0 = 38.7°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.) (a) Number i (b) Number i (c) Number i i+ i Units Units j Units

A horizontal force with magnitude of 52.0N on a box and produces acceleration with magnitude 3.60 m/s^2. What is the mass of the box?