How do you find the range of a data set?
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The resulting change in momentum of the system will be +18.6 Ns. The momentum is conserved.
According to the law of conservation of momentum, the momentum of the body before the collision is always equal to the momentum of the body after the collision.
The given data in the problem is;
m is the mass =6.0 kg
t is the time interval=2 second
From Newton's second law;
From the graph;
The change in the momentum is;
Hence, the resulting change in momentum of the system will be +18.6 Ns.
To learn more about the law of conservation of momentum, refer;
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Answer:
We can conclude 2.3x10^7 J was converted to thermal energy
Explanation:
<u>Energy Conservation </u>
According to the law of conservation of energy, the total energy of an isolated system must be constant. If some kind of energy is 'lost', we know it was transformed into another type.
Let's check the conditions of the problem. The ride vertically drops a distance of 71.6 m starting from rest, and at the bottom of the drop, its speed is 10 m/s. Knowing the mass of the cart plus passengers is 3.5X10^4 kg, we compute the total energy at the top of the drop.
Where E is the total energy (which must be conserved) at the top of the drop, U is the gravitational potential energy and K is the kinetic energy. We use the equations for each:
At the top, the speed is 0, thus
Now we compute the 'total' energy at the bottom (quoted because we know there is some mechanical energy loss in the drop)
This time h'=0 and v=10 m/s, thus
The mechanical energy at the top and the bottom are not the same, thus we can know part of it was converted to heat or thermal energy. We compute the difference
We can conclude 2.3x10^7 J was converted to thermal energy