Physics

Here is the questions :

Number the masses 1-18. If we start on the left side and number to the right.

There are masses which are hanging that pull down with a force due to gravity of F=mg. They either pull the system to the left or the right. Solve for the force of each hanging mass, and give each a direction of either left or right.

step A - Find Fg for masses 8, 9, 14, 17 and18 as they are pulling to the right

step B - Find Fg for masses 1 and 7 as they are pulling to the left.

There are masses which are on ramps. Solve for the Ramp Force using Fr=mgsin, where is the angle of the ramp compared to horizontal. Give these each of these a direction of left or right based on which way they want to slide.

step C - Find Fr for masses 5, 11 and 16 as they are on ramps leaning to the right.

step D - Find Fr for masses 3 and 13 as they are on ramps leaning left

Total all the right forces and all of the left forces. Whichever is bigger, determines the direction the system will slide.

Now calculate the force of friction on flat surfaces using Ff=mg, and the friction on ramps using Ff=mgcos (again ensuring that is the angle the ramp makes to horizontal. Since friction always opposes motion, subtract all of these frictions from the net force from the ramps and hanging masses.

step E - Find Ff on the flat surfaces for masses 2, 4, 6, 10, 12 and 15.

step F - Find Ff on the ramps for masses 3, 5, 11, 13 and16.

Fnet = Fright-Fleft-Ff

Fnet = Fhanging masses pulling right + Framp masses pulling right - Fhanging masses pulling left- Framp masses pulling left - Ffriction of all sliding masses.

or Fnet = Forces in A + Forces in C - Forces in B- Forces in D - All forces of friction

This net force is what causes the acceleration of the whole system, so we can calculate acceleration by using the equation a= Fnet/total mass

step G - Find the total mass of all 18 masses added together.

step H - Solve for The acceleration using acceleration=Fnet/Mass found in G.

Do not worry about the points on the ropes labelled with the letters until you are solving for the tension in the ropes at those points.

1.Aball with a mass of till) 9 hits a 5.0 kg block ofwood tied to a string, as shown. You may assume that there is no friction from the string. The ball hits the block in a completely inelastic collision, causing the block to rise to a maximum height ofi) cm. Find the initial horizontal speed of the ball. You may assume that the string is very long. firsas...|1are..I95.Jan.9..sts.sr.imier1 2. A 1.2 kg cart moving at 6.0 ITIIlS [E] collides with a stationary 1.8 kg cart. The headon collision is completely elastic and is cushioned by a spring. a. Find the velocity of each cart alter the collision. b. The maximum compression ofthe spring during the oollision is 2.0 cm. Find the spring constant. 3. A050 kg magnetic puck moving at 4.0 lTlJlS [E] is sliding on a frictionless horizontal air table. It undergoes an elastic head-on collision with another magnetic puck of mass 0.90 kg, moving at 3.0 mJ's ['IN]. Find the velocity ofeach puck after the collision. F' 4.Oms[Ej~ Faumlwl C THE BIG Tension Problem Determine the acceleration of the system and the tension at each point. Verify 2 of the tensions. HK = 0.2 ON ALL - MK = 0. 1 ON ALL - AA + 0.15 ON ALL SURFACES SURFACES SURFACES 8kg D 6kg 3 kg 3KS 4 KA 8 kq E 15kg 5kg 4 kq 140" 10kg 4kg 8kg 2K 3kg 8kq 60" 7kg