Jumping from a Cart Competition sp 4, page 248 Created for CVCA Physics By Dick Heckathorn 12 Jan 2K + 5

The Challenge A competition is held between two teams of three 60-kg members each. The teams will take turns climbing onto the cart and jumping off. They want to see whose cart of mass 120-kg will be moved fastest when propelling it with a jump.

Team A will start at the left end of the cart that is free to roll without friction, run to the right and jump off with a velocity of 10 m/s with respect to the cart. One member of team B will start at the left end of the cart, run to the right and jump off with a velocity of 10 m/s followed by the second and then the third member.

What is the final velocity of the cart? A 120-kg cart is at rest. Three 60-kg people run to the right and together jump off the cart at 10 m/s. What is the final velocity of the cart?

Let ‘V’ be the final velocity of the cart with respect to the earth. Team A Three 60-kg people run to the right and together jump off the cart at 10 m/s. v = 10 m/s + V v = V Let ‘V’ be the final velocity of the cart with respect to the earth. Let ‘v’ be the final velocity of the three people with respect to the earth.

Team A v = v = 10 m/s + V V

Let ‘V1’ be the final velocity of the cart with respect to the earth. Team B v1 = v1 = 10 m/s + V1 V1 Let ‘v1’ be the final velocity of the first student with respect to the earth. Let ‘V1’ be the final velocity of the cart with respect to the earth.

Team B v1 = 10 m/s + V1 v1 = V1

Let ‘V2’ be the final velocity of the cart with respect to the earth. Team B v2 = 10 m/s + V2 v2 = V2 v1 = 8 m/s Let ‘V2’ be the final velocity of the cart with respect to the earth. Let ‘v2’ be the final velocity of the second student with respect to the earth.

Team B v2 = 10 m/s + V2 V2 v1 = 8 m/s

Let ‘V3’ be the final velocity of the cart with respect to the earth. Team B v3 = 10 m/s + V3 v3 = V3 Let ‘V3’ be the final velocity of the cart with respect to the earth. Let ‘v3’ be the final velocity of the third student with respect to the earth.

Team B v3 = 10 m/s + V3 v2=5.5 m/s v1=8 m/s V3

That’s all folks!