1. (6.37) An elevator filled with passengers has a mass M = 1.70 × 10³ kg is supported by one cable (brave passengers!) and has the following adventures. In each case, find the tension T' in the cable. Make an FBD for each situation. Hint: use the FBD to find T in terms of M, g, ay, where the latter is the component of acceleration in the vertical direction. a. Elevator accelerates up with acceleration of magnitude a₁ = 1.20 m/s². b. Elevator moves up with constant velocity. c. Elevator has an acceleration down with magnitude a2 = 0.600 m/s².

Ti A mover is loading a truck. He is pushing a 180 kg appliance on a frictionless dolly up a ramp inclined 25° above the horizontal. What are the I and || components of the weight of the appliance? Fg,1 1598.73 N. %3D Fg, = N. %3D What is the normal force on the appliance? FN = 1598.73 N. %3D What force must the mover exert parallel to the ramp to keep the box from moving? Fp = N. What force must he exert parallel to the ramp to accelerate it up the ramp at 0.7 m/s? Fp = 871.5 N. %3D

Two objects are connected by a light string that passes over a frictionless pulley as shown in the figure below. Assume the incline is frictionless and take m, = 2.00 kg, m, = 7.30 kg, and e = 52.0°. Use g=9.8 m/s2. (b) Find the magnitude of the accelerations of the objects. m/s2 (c) Find the tension in the string. N (d) Find the speed of each object 1.75 s after being released from rest. m/s

9. A 95.0 N force bearing 72.0° and a 115 N force bearing 125° are both pulling on a 7.5 kg object. Determine the object's displacement after 5.00 s, assuming there is no friction and the object starts from rest. Include a free-body diagram and a vector diagram with your solution.

A person on a sled starts descending from the highest point of a snowy slope with a 30º inclination and 150 m in length. The combined mass of the person and the sled is 90 kg. At the end of the slope, they continue moving on a horizontal track until they stop. The coefficient of friction between the sled and the snow is \( \mu = 0.18 \) in both cases. 1. Draw the forces acting on the sled in each section.  2. Calculate the mechanical energy dissipated due to friction on the inclined section.  3. With what speed does it reach the end of the slope?  4. What distance does the sled travel on the horizontal plane before stopping?

A 400. N crate is suspended from two ropes that each makes an angle 8 of 38° with the horizontal. Express numerical answers to the nearest whole number) That would make the tension in each rope _ N. b C d 200 N 325 N 600 N 400 N 8

A 74.1-kg crate is suspended between the floor and the ceiling using two spring scales, one attached to the ceiling and one to the floor. If the lower scale reads 120 N, what is the reading of the upper scale? Ignore the weights of the scales.

Two masses m1=5 Kg and m2=12 Kg are connected with string and pulled with a force F=25 N that makes an angle of 53° with a smooth horizontal surface as shown in the figure. Find the tension in the string in a unit of Newton. F A. 6.258 B. 8.85 m2 m1 0 C. 2213 D. None E. 4.425

A.) If the coefficient of kinetic friction between a 28 kg crate and the floor is 0.38, what horizontal force is required to move the crate at a steady speed across the floor? Express your answer to two significant figures and include the appropriate units. F= __________ ___________