Question

In: Physics

On a distant planet, golf is just as popular as it is on earth. A golfer...

On a distant planet, golf is just as popular as it is on earth. A golfer tees off and drives the ball 2.7 times as far as he would have on earth, given the same initial velocities on both planets. The ball is launched at a speed of 41 m/s at an angle of 36° above the horizontal. When the ball lands, it is at the same level as the tee.

(a) On the distant planet, what is the maximum height of the ball?

(b) On the distant planet, what is the range of the ball?

Expert Solution

The range of a projectile motion on Earth is given by

where is the speed of launching, is the angle that the initial velocity makes with the horizontal, and g is the gravitational acceleration of the Earth.

Let is the gravitational acceleration on the distant planet. The range of a projectile motion on the distant planet is

Given

Using we get

(a) The maximum height of a projectile motion is given by

Substituting we get

(b)

The range of a projectile motion on the distant planet is

Substituting we get

genius_generous answered 2 hours ago

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