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Ofa 50.0 kg palette that is sitting on a shelf,at a height of 3,00m? Find What is the potential energy = Sacond Tuttu veloaues 0f these billlard balls if &) the...

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Ofa 50.0 kg palette that is sitting on a shelf,at a height of 3,00m? Find What is the potential energy = Sacond Tuttu veloaues 0f these billlard balls if &) the lard ball I> moving toward the first billlard ball at 4 Q0 mfsmotorcyclist leaps across canyon, driving horizontally at 38.0 m/s off a 70.0 m cliff; and landing on the other side, which is at a height of 35.0 m. Ignoring air resistance, determine the speed at which the motorcycle lands on the other side:

ofa 50.0 kg palette that is sitting on a shelf,at a height of 3,00m? Find What is the potential energy = Sacond Tuttu veloaues 0f these billlard balls if &) the lard ball I> moving toward the first billlard ball at 4 Q0 mfs motorcyclist leaps across canyon, driving horizontally at 38.0 m/s off a 70.0 m cliff; and landing on the other side, which is at a height of 35.0 m. Ignoring air resistance, determine the speed at which the motorcycle lands on the other side:



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A window washer with mass $90.0 \mathrm{~kg}$ first climbs $45.0 \mathrm{~m}$ upward to the top of a building, then from the top goes down $85.0 \mathrm{~m}$ to the ground. (a) What is the potential energy of the window washer at the top of the building, using his initial position as the reference level? (b) Find the potential energy of the window washer at ground level with respect to his initial position.

In this problem on the topic of energy conservation, we're told that a 0.5 do kilogram ball Is thrown at an angle of 30° above the horizontal and a speed of 10 m/s from a building that is 12 m high. We want to find its kinetic energy when he hits the ground as well as its speed at this point. Now, assuming only conservative forces act on the ball. The change in the balls kinetic energy down to K is equal to minus the change in gravitational potential energy dealt to you. And so this implies that the final kinetic energy minus the initial kinetic energy is equal to the initial gravitational potential energy, minus the final gravitational potential energy and The final gravitational potential Energy zero. So this is equal to you. I So this implies that the final kinetic energy K. F is equal to the initial gravitational potential energy MG, not plus the initial kinetic energy a half M V not squared. And so this is if we substitute our values in the mass of the ball, zero 052 Kg Times the acceleration due to gravity nine 81 m/km2, suppress the units here, times the height of the building. H not Which is 12 m Plus a half times the mass of the ball, 0.052 Kg times its initial speed 10 m/s squared. And so the final kinetic energy of the ball When it reaches the ground will be eight 72 jewels. Now from this kinetic energy, we can find the speed of the ball since we know that K. F. Is equal to a half M. V squared where we want to solve V. Which means that the speed of the ball V is equal to the square root of two times this kinetic energy K. F over em, and this is the square root of two into 8 point 7-1 Jules, Divided by the message ball 0.0 52 kg. And so calculating, we get the speed of the ball when it reaches the ground to be 18.3 meters per second.

In this problem on the topic of electric fields, we have a small metal ball which has a mass of four g and a charge of five million columns at a distance of 0.7 m above the ground. In an electric field of 12 newton speculum, which is directed to the east, The ball starts from rest and is then released, and we want to find its velocity after it has moved downward, a vertical distance of 0.3 m. Now, as the four g ball fold, the force of gravity acting on it will cause it to accelerate downwards. At the same time they forced you to electric field excellent ball, causing it to accelerate towards the east, the forces that perpendicular to each other, and we can find each component of the velocity. Now the velocity in the downward direction we can use, we can find using equations of motion. The Y squared is equal to the why not squared plus two G. Time's D. Y. Now the time it takes to reach this velocity T. Is V. Y over G. And the acceleration eastward is calculated using it in 2nd law, F is equal to M. A. Which is the electric force, F E Q E. And so the horizontal component of the speed of the ball is A. X times T. Now the vertical component V. Y is equal to from the equation, the square root of two G. Time's D. Y. Now remember the ball starts from rest of the night, why we're not? Y is equal to zero. The time it takes for the ball to fall 30 cm T is equal to The Square Root of two G do I over G. And the acceleration eastward A. Is QE over em. And so therefore the eastward velocity VX is equal to A. X times T. Which is the acceleration Q times E over em time the time Square root of two times g times dy divided by G. And so this can be simplified as Q Q E over em times the square root of two D. Y over G. And so if we put our values into these calculations, we get the Y component of the velocity of the ball to be The square root of two In 29.81 m/km2 Times 0.3 meters which is Dy And so calculating, we get V. Y to be two point 4-6, m/s and thats vertically downward. And then the X, the X component of the velocity is equal to five times 10 to the minus three columns, which is the charge on the ball, Times 12 Newtons per column Divided by the mass of the ball, 0.00 for kg times the square root of two into zero point three m, Divided by G, which is 9.81 m/km2. So we get the X component the velocity to be three 0.70 96 meters per second eastward, and so the velocity, the total velocity of the ball, in unit vector notation Is 3.71 meters per second along the X had direction plus 2.43 m/s along the Y. Hat direction.

Everybody. So for this one, we need to find what was the change? Potential energy of the road. Joining uber. So why cm People's one for the lake And guys? Anyone? Four times 24 meters. Would you go six? Then we have the pencil as 1/2 m g. Why centimeters? And this is 1/2 3 kilograms times 9.8 meters for seconds. And you can put one there that this is Bill better People's *** toe eight Yates 0.3 jewels. It is Lego because is going down. Okay. Thank you.


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