This is a conservation of momentum problem. Initial momentum must equal final momentum.
Momentum= mass* velecoity
I will denote Ball as b and pin as p
Initial momentum= V(initial b)* Mass(b)+ V(initial p) *mass (p)
since the pin is stationary to begin that means velocity is 0 and we can plug in for the rest
Initial momentum= 7m/s*8kg=56 mkg/s
Now for final momentum=V(final b)*mass(b)+V(final p)*mass(p) plugin
final momentum=V(final b)*8kg+12m/s*2kg
we can set final momentum= inital momentum and solve for V(final b)
56mkg/s= V(final b)*8kg+ 24mkg/s
32mkg/s=V(final b)*8kg
4m/s=V(final b)
so 4 meters/second is the answer
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Nice ! This could be a dynomite exercise if we only knew the voltage of the battery, the current, and the resistivity.
A. the gas particles move faster and collide more frequently, which causes an increase in pressure.
Increasing temperature increases the energy of the gas, which causes the kinetic energy of the molecules to increase.
Answer:
The kinetic energy of the system after the collision is 9 J.
Explanation:
It is given that,
Mass of object 1, m₁ = 3 kg
Speed of object 1, v₁ = 2 m/s
Mass of object 2, m₂ = 6 kg
Speed of object 2, v₂ = -1 m/s (it is moving in left)
Since, the collision is elastic. The kinetic energy of the system before the collision is equal to the kinetic energy of the system after the collision. Let it is E. So,
E = 9 J
So, the kinetic energy of the system after the collision is 9 J. Hence, this is the required solution.
