To determine the best prediction for the kinetic energy of the second marble, we can observe the relationship between kinetic energy and mass.
The formula for kinetic energy is:
KE = (1/2) * mass * velocity^2
Since the first marble has a mass of 4.8 grams and a kinetic energy of 0.0035 joules, we can rearrange the formula to find its velocity:
0.0035 joules = (1/2) * 4.8 grams * velocity^2
Simplifying this equation, we find:
0.007 joules/grams = velocity^2
Taking the square root of both sides, we get:
√(0.007 joules/grams) = velocity
Therefore, the velocity of the first marble is approximately 0.0837 m/s.
Now, we can use this velocity and the mass of the second marble (2.4 grams) to find its predicted kinetic energy:
KE = (1/2) * mass * velocity^2
KE = (1/2) * 2.4 grams * (0.0837 m/s)^2
Simplifying this equation, we find:
KE = 0.0062 joules
Therefore, the best prediction for the kinetic energy of the second marble at the end of the plane is approximately 0.0062 joules.
a student rolls two marbles down an inclined plan one marble has a mass of 4.8 grams the student calculates its kinetic energy to be 0.0035 joules when it reaches the end of the plane the second marble has a mass of 2.4 grams what is the best prediction for its kinetic energy at the end of the plane?
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