1) Lets say you built a mini rocket and are launching it vertically. The mini ro

Question

1) Lets say you built a mini rocket and are launching it vertically. The mini rocket you have designed has a mass of 100kg, and you have engineered it to have an initial velocity, as it comes off the ground, of 150 m/s. Build a model for calculating the maximum height it will reach (hint: the mini rocket temporally stops when it reaches the maximum height). Neglect air resistance.

2) Lets include air resistance in our model this time. Air resistance is a bit complicated but to simplify it we can think of it as the energy the air absorbs from the initial kinetic energy of our mini rocket. It depends on the height as well, so it works very similarly to gravitational energy. Assuming that the [energy air absorbed]=100*[height] build a model for the new maximum height of the mini rocket. Use the same values for massand initial velocity as problem above.

Explanation / Answer

1)Ke = Potential energy

0.5mv^2 = mgh

h = v^2 / 2g

= 150^2 / 2*9.8 = 1148 m

2) KE - Energy lost = Pe

0.5mv^2 - 100mgh = mgh

0.5mv^2 = 101mgh

h = v^2 / 202g = 150^2 / 202*9.8 = 11.36 m

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.