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A projectile is fired at an upward angle of $48.0^{\circ}$ from thetop of a $135-$ m-high cliff with a speed of 165 $\mathrm{m} / \mathrm{s}$ . What will be its speed when it strikes the ground below? (Use conservation of energy.)

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173 $\mathrm{m} / \mathrm{s}$

Physics 101 Mechanics

Chapter 8

Conservation of Energy

Work

Kinetic Energy

Potential Energy

Energy Conservation

Moment, Impulse, and Collisions

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Rutgers, The State University of New Jersey

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Lectures

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

04:30

In classical mechanics, impulse is the integral of a force, F, over the time interval, t, for which it acts. In the case of a constant force, the resulting change in momentum is equal to the force itself, and the impulse is the change in momentum divided by the time during which the force acts. Impulse applied to an object produces an equivalent force to that of the object's mass multiplied by its velocity. In an inertial reference frame, an object that has no net force on it will continue at a constant velocity forever. In classical mechanics, the change in an object's motion, due to a force applied, is called its acceleration. The SI unit of measure for impulse is the newton second.

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(II) A projectile is fired…

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A projectile is fired at a…

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A projectile is launched …

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A projectile is launched w…

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A projectile with a mass o…

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A projectile is launched f…

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A projectile is fired from…

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A projectile is fired stra…

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The highest barrier that a…

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A projectile is fired hori…

An arrow is shot from a he…

observation here. Um, energy before the projectile is launched will be cool to energy after it hits the ground. Okay, are as it hits the ground. Um so energy before there's of course, kinetic energy won't have have times view not squared you not being the ah, the speed with which it has launched, uh, plus potential energy because it is that a height above ground level mg times the height. Why one, um, is equal. Actually, it's called Zvi one. Just to be consistent with sub scripts eyes equal to 1/2 M V two square to be to being the speed with which it hits the ground. V two is what we want. So first no, that that was canceled. Then we most by both sides by two when we get his view to view too is equal to the square root of everyone squared plus two times two times Wyman. Okay. And so the one squared is just ah 1 65 meters per second quantity squared plus two times 9.8 meters per second. Squared g times 1 35 meters above ground level and you plug that in to a calculator and you got 1 73 meters per second is the speed with which it hits the ground

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