Can someone actually ANSWER the question pleas and post numerical answers.
Under less than ideal conditions, a student pushes a 6 kg cart holding 2 boxes of books up a ramp to a platform that is 1.8 m high in 42 sec. Each box contains 12 kg of books. The ramp is inclined at an angle of 15 degrees. He pushes w/ a steady force of 70 N to move it up.
Find: -Work in
-Work out
-IMA
-AMA
-Efficiency
-Power
Nope, you are answer grazing.
To answer these questions, we need to use the formulas and concepts related to work, force, and energy. Let's break down each of the quantities you're asking for and explain how to calculate them.
1. Work in: This refers to the work done on the system. In this case, it represents the work done on the cart, including the books, to raise it up the ramp. The formula to calculate work is:
Work = Force * Distance * cos(theta)
In this case, the force applied is 70 N (as given in the question), the distance is the height of the platform (1.8 m), and theta is the angle of inclination (15 degrees). By substituting these values into the formula, you can calculate the work in.
2. Work out: This refers to the work done by the student who pushes the cart. Since the force applied by the student is in the same direction as the displacement of the cart, the work done by the student is positive. Therefore, the work out is the work done by the student, which can be calculated using the same formula as above.
3. IMA (Ideal Mechanical Advantage): IMA refers to the mechanical advantage a simple machine would provide in an ideal situation. In this case, the ramp acts as a simple machine, allowing the student to exert less force to lift the cart than if it were lifted vertically. The formula to calculate IMA is:
IMA = Distance / Effort Distance
In this situation, the distance is the length of the ramp (which is not given), and the effort distance is the vertical height (1.8 m). Since the length of the ramp is missing, we cannot directly calculate the IMA. You would need that missing information to determine IMA.
4. AMA (Actual Mechanical Advantage): AMA refers to the actual mechanical advantage, which takes into account any additional factors that affect the system's efficiency. In this case, AMA can be calculated by dividing the work in by the work out:
AMA = Work in / Work out
By substituting the values calculated in previous steps, you can find the AMA.
5. Efficiency: Efficiency is a measure of how effectively energy is transferred between different forms. In this case, it represents the ratio of useful work output (work out) to the total work input (work in). The formula for efficiency is:
Efficiency = (Work out / Work in) * 100
By substituting the values calculated earlier, you can find the efficiency.
6. Power: Power is the rate at which work is done or energy is transferred. It can be calculated using the formula:
Power = Work / Time
In this case, the work done is the work in or work out (since they should be equal), and the time is given in the question as 42 seconds. By substituting the values, you can calculate the power.
Please note that without the length of the ramp, it is not possible to calculate IMA accurately in this particular scenario.