6. Three blocks of masses m₁, m2, and m3 are placed in contact with each other on a frictionless, horizontal surface, as shown in the figure below. A horizontal foce F is applied to m₁. Take 2.00 kg, m2 = 3.00 kg, m3 4.00 kg, and F m1 = = 18.0 N. (a) Draw a separate free-body diagram for each block. (b) Determine the acceleration of the blocks. (c) Find the resultant force (that is, the net force) on each block. (d) Find the magnitude of the contact forces between the blocks. m1 mq mz

Two teams of nine members each engage in tug-of-war. Each of the first team’s members has an average mass of 68 kg and exerts an average force of 1350 N horizontally. Each of the second team’s members has an average mass of 73 kg and exerts an average force of 1365 N horizontally. (a) What is magnitude of the acceleration of the two teams, and which team sins? (b) What is the tension in the section of rope between the teams?

(a) Find an equation to determine the magnitude of the net force required to stop a car of mass m, given that the initial speed of the car is v0 and the stopping distance is x . (b) Find the magnitude of the net force if the mass of the car is 1050 kg, the initial speed is 40.0 km/h, and the stopping distance is 25.0 m.

(a) A cat with a mass of 850 kg in moving to the right with a constant speed of 1.44 m/s. What is the total force on the cat ? (b) What is the total force on the cat if it is moving to the left?

(a) What is the maximum frictional force in the knee joint of a person who supports 66.0 kg of her mass on that knee? (b) During strenuous exercise, it is possible to exert forces to the joints that are easily 10 times greater than the weight being supported. What is the maximum force of friction under such conditions? The frictional forces in joints are relatively small in all circumstances except when the joints deteriorate, such as from injury or arthritis. Increased frictional forces can cause further damage and pam.

Two forces F1=(62.98i15.80j) N and F2=(23.66i78.05j) are exerted on a particle. The particles mass is 14.23 kg. a. Find the particles acceleration in component form. b. What are the magnitude and direction of the acceleration?

A car of mass 875 kg is traveling 30.0 m/s when the driver applies the brakes, which lock the wheels. The car skids for 5.60 s in the positive x-direction before coming to rest. (a) What is the cars acceleration? (b) What magnitude force acted on the car during this time? (c) How far did the car travel?

QUESTION 15 Two blocks are attached by massless strings and accelerated to the right on a frictionless horizontal surface by TB. The masses are m₁ = 2.0 kg and m2 = 3.0 kg. The acceleration of the block 1 is 5.0 m/s². Match the answers with questions. TA TB m₁ m₂ A. 25 N, to the left ✓ Tension force TA on block 1 B. none of the given ✓ Tension force TA on block 2 C. 15 N, to the left D. O E. 25 N, to the right F. 15 N, to the right G. 10 N, to the right H. 10 N, to the left

2. A man pushes a crate of mass 70kg along a horizontal floor with a constant horizontal force in an easterly direction. Starting from rest, the trunk. reaches a velocity of 1.5 m/s (E) after 3.0s. The coefficiant of Kinetic friction between the crate and the floor is 0.34. Determine the man's horizontal applied force. Be sure to draw a free body diagram fram and indicate positive direction.

A 9.50 kg object has the given x and y acceleration components. a, = (0.9) + m 0.39- s2 (0.73). a, = (11.7) - (091). t What is the magnitude Fnet of the net force acting on the object at time t = 6.87 s? N Fnet What is the angle 0 of the net force at this same time? Give your answer as a number of degrees counter-clockwise from the +x-аxis.