Physics, 11.07.2019 08:00 StephenSudu

Planet dweeb has three times the gravitational acceleration of earth. a ball is thrown vertically upward with the same initial velocity on earth and on dweeb. a. how does the maximum height reached by the ball on dweeb compare to the maximum height on earth? b. if the ball on dweeb were thrown with three times greater initial velocity, how would that affect your answer to a?

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Answer from: ejsteel2

(a) The maximum height on Dweeb is one third that on Earth.

(b) The maximum height is three times that on Earth.

(a) When the dissipative forces are absent, the total mechanical energy of a system remains constant.

If the ball of mass m is given a velocity v, then its kinetic energy is given by,

$E_K=\frac{1}{2} mv^2$

As the ball moves upward, its velocity decreases due to the action of the gravitational force acting on the ball. When its velocity becomes zero, the ball would have reached its maximum height. Therefore, at maximum height, its entire kinetic energy transforms into potential energy.

On Earth, if the ball reaches a maximum height h and the acceleration due to gravity on Earth is g, then,

$\frac{1}{2} mv^2=mgh$ ......(1)

If the ball is given the same velocity on Dweeb, it has the same kinetic energy as the ball on Earth. The gravitational force g ₁on Dweeb is 3 times that on Earth. Therefore,the potential energy of the ball at its maximum height h₁ on Dweeb is given by,

mg_1h_1=m(3g)h_1=3mgh_1 .......(2)

Since the ball has the same kinetic energy at the beginning of the throw,

$\frac{1}{2} mv^2=3mgh_1$ ......(3)

Equate equations (1) and (3)

$mgh=3mgh_1\\ h_1=\frac{h}{3}$

The ball rises to one- third of its height on Earth if it is thrown with the same velocity on Earth and on Dweeb.

(b) If the ball is thrown on Dweeb with 3 times its velocity on Earth, then its kinetic energy at the start of the throw is given by,

$E_K=\frac{1}{2} m(3v)^2=9(\frac{1}{2}mv^2)......(4)$

If it rises to a maximum height h₂on Dweeb, then,

$mg_1h_2=9(\frac{1}{2}mv^2)......(5)$

From equation (1) $\frac{1}{2} mv^2=mgh$ , and using g₁=3g

$mg_1h_2=9(\frac{1}{2}mv^2)\\ m(3g)h_2=9mgh\\ h_2=3h$

If the ball is projected on Dweeb with 3 times the velocity on Earth, it would rise to 3 times the maximum height it reaches on Earth.

Answer from: Quest

i dont think you are wrong for wanting to get even with someone who did you wrong.

(i'm an eye for an eye kind of person) but if this person hurt you in a sexual way, i dont suggest doing anything to him. he should be taken to the proper authorities, you could go to jail depending on what you do. if it was something small like your sibling took your spot on the couch, than yea, i would get even with him by taking one of his favorite snacks lol. but i dont suggest you doing anything illegal.

Answer from: Quest

answer: option c.

explanation:

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