There are five children, each of mass 20 kg, witha cart of mass 140 kg. Case 1: If three children sit in the cart and two push, the acceleration of the cart (and of the three children sitting in the cart) is 0.6 m/s? Case 2: If two children sit in the cart and three push, the acceleration of the cart (and of the two children sitting in the cart) is 1.6 m/s². The resistance to the motion is proportional to the number of children sitting in the cart, FR = R x (No. of Children), for some R. Each child pushes with the same force, P. a) Write down the two equations of motion. Case 1: Case 2: b) Find how hard each child pushes, P = N. Find the resistance force per child, R = N.

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There are five children, each of mass 20 kg, with a cart of mass 140 kg.
Case 1: If three children sit in the cart and two push, the acceleration of the cart (and of the three children sitting in the cart) is 0.6 m/s².
Case 2: If two children sit in the cart and three push, the acceleration of the cart (and of the two children sitting in the cart) is 1.6 m/s².
The resistance to the motion is proportional to the number of children sitting in the cart, FR = R × (No. of Children), for some R.
Each child pushes with the same force, P.
a)
Write down the two equations of motion.
Case 1:
Case 2:
b)
Find how hard each child pushes,
Р-
N.
Find the resistance force per child,
R =
N.
Transcribed Image Text:There are five children, each of mass 20 kg, with a cart of mass 140 kg. Case 1: If three children sit in the cart and two push, the acceleration of the cart (and of the three children sitting in the cart) is 0.6 m/s². Case 2: If two children sit in the cart and three push, the acceleration of the cart (and of the two children sitting in the cart) is 1.6 m/s². The resistance to the motion is proportional to the number of children sitting in the cart, FR = R × (No. of Children), for some R. Each child pushes with the same force, P. a) Write down the two equations of motion. Case 1: Case 2: b) Find how hard each child pushes, Р- N. Find the resistance force per child, R = N.
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