Question

about.) b. Aft er defeating your enemy and retrieving your prize, you decide to ride off o n your caf and as you in a victory celebration. Still dazed from the collision, you don't ride out into the aisle, another crazed-shopper slams into you with their cart. You were mass of 73kgs (because you added your package to the of riding at 2m/s and now have a cart) while the other rider struck you at a right angle moving at 4m/s (with a mass if the carts stick together how fast are you both moving after collision?In what direction are you both now moving? u return home victorious with your gift and immediately wrap it so 3. Yo no one can see what it is. curious family member investigates the package a. First he tries to determine its mass. We know it to be 3kgs does not. He sets up a meter stick to pivot at its center o but your curious relative f mass (the 50cm mark) and hangs your gift at the 70cm mar k of the stick. He then balances the stick with another gs. Where does this 2kg mass end up so that the stick is balanced?

i need help with solving #3 a, a center of mass problem.

Answer 1

Given

mass of gift m1 = 3 kg , positioned at 0.7 m

meter stick to pivot at its center of mass is at 0.5 m mark

another mass is m2 = 2 kg , its position is x2 = ?

we know that the position of center of mass is X_CM = m1*x1+m2*x2 /(m1+m2)

given X_cm = 0.5 m

so

0.5 = (3*0.7+2*x2)/(3+2)

so x2 = 0.2 m

that is the mass of 2kg should be placed at 20 cm mark to balance the system