There is an important principle on classical mechanics that is the work-energy principle it states that the total work on an object is equal the change on its kinetic energy, mathematically expressed as:
With W net the total work, Kf the final kinetic energy and Ki the initial kinetic energy. We're going to use this principle to calculate the total work on the baseball by the force exerted by the bat.
Kinetic energy is the energy related with the movement of an object and every classical object with velocity has some kinetic energy, it is defined as:
With m the mass of the object and v its velocity, knowing this we can use on:
In our case vf is the velocity just after the hit and vi the velocity just before the hit. For an average baseball its mass is 145g that is 0.145 kg, then
Reasons for a high/low rate of Mortality: Science can be very invaluable determining the high/low rate of mortality in an area by conducting extensive research on various factors the people (of a society) are exposed to that causes the rate of mortality. In the case of high-rate of mortality, science can assist in providing guidelines in reducing the rate.
Epidemiology and Treatment of diseases: If there is a rise in the number of people affected by a particular disease in a society, science can help provide answers by determining if indeed the diseases are the same or just appear the same. Science can also assist in preventing and providing cure (treatment) to this disease.
Optimization and improved nutritive diet: Science assists in optimizing food products in order to get maximum benefits from the food eaten. A society might have some food substances that are not well stored or processed before eating; which could lead to loss of important nutrients, science can help correct this societal norm through research.
So, we are looking for an expression of the amount of water that has been drained from the tub. The expression is in terms of v that represent the number of gallons of water drained since the plug was pulled. Since we are interested in the pounds of water that has been drained from the tub we need to take into account that for every gallon of water drained, 8.345 pounds have left the tub. Therefore, the expression for the weight of water Q that has been drained from the tub in terms of v is simply :
Where v is the amount of gallons that has been drained from the tub.
Have a nice day. let me know if I can help with anything else