Block X of mass M is attached to block Y of mass 2M by a light string that passes over a pulley of negligible friction and mass, as shown below.   In which direction will the center of mass (COM) of the two-block system move after it is released from rest, and what is the magnitude of the acceleration a of block X?  a COM moves down & right; a = 2g/3  b COM remains at rest; a = 3g/2  c COM remains at rest; a = 2g/3  d COM moves down & right; a = 3g/2

A small block of mass m, = 0.420 kg is released from rest at the top of a frictionless, curve-shaped wedge of mass m, = 3.00 kg, which sits on a frictionless, horizontal surface as shown in Figure a. When the block leaves the wedge, its velocity is measured to be vę = 4.20 m/s to the right as shown in Figure b. h m2 (a) What is the velocity of the wedge after the block reaches the horizontal surface? m/s to the left (b) What is the height h of the wedge?

Find the center of mass of the point masses along the x-axis. Draw your illustration. m1= 15 kg, m2= 20 kg, m3= 50 kg x1 = 6m,  x2 = 8m, x3 = 10m

Highway safety engineers want to design roadside barriers that will crumple in the event that a car drives off the road and collides with them, slowing down the car more gradually. The average person has a mass of 68 kg and travels on a highway at a velocity of 27 m/s. If the engineers know that the maximum force that a person can safely withstand is 2180 N, approximately how much time is required to crumple the barrier to safely slow the person with this force?

P6

A block of mass m1 = 13.5 kg slides along a horizontal surface (with friction, μk = 0.31) a distance d = 2.3 m before striking a second block of mass m2 = 8.5 kg. The first block has an initial velocity of v = 9.5 m/s. a)Assuming that block one stops after it collides with block two, what is block two's velocity after impact in m/s?  b) How far does block two travel, d2 in meters, before coming to rest after the collision?

The three masses shown in (Figure 1) are connected by massless, rigid rods. Assume that m₁ = 180 g and m2 = 300 g. Figure A y 200 g 12 cm B m₂ 10 cm C m₁ -X 1 of 1 Part A What is the x-coordinate of the center of mass? Express your answer with the appropriate units. ► View Available Hint(s) x = Submit Part B Value y = μA What is the y-coordinate of the center of mass? Express your answer with the appropriate units. ► View Available Hint(s) Submit Value Provide Feedback μA Units ? Units ?

Highway safety engineers want to design roadside barriers that will crumple in the event that a car drives off the road and collides with them, slowing down the car more gradually. The average person has a mass of 68 kg and travels on a highway at a velocity of 27 m/s. If the engineers know that the maximum force that a person can safely withstand is 1180 N, approximately how much time is required to crumple the barrier to safely slow the person with this force?

Chapter 06, Problem 066 GO In the figure here, block 1 of mass 2.4 kg and block 2 of mass 3.4 kg are connected by a string of negligible mass and are initially held in place. Block 2 is on a frictionless surface tilted at 0 = 28 °. The coefficient of kinetic friction between block 1 and the horizontal surface is 0.28. The pulley has negligible mass and friction. Once they are released, the blocks move. What then is the tension in the string? Number Unit the tolerance is +/-5% Click if you would like to Show Work for this question: Open Show Work

A thin stick is placed along the x-axis so that one of its ends is at x₁ = 0.00 m and the other one at x₂= 3.55 m. The stick has a non-uniform mass density A(x) = ax + b, where a = -0.301 kg/m² and b= 0.782 kg/m. What is the x-coordinate of the center of mass of the stick? Xan E