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A 200 g ball is launched from a height of 200m heightabove a lake. Its launch an

ID: 1764800 • Letter: A

Question

A 200 g ball is launched from a height of 200m heightabove a lake. Its launch angle is 40 degrees and it has an initialkinetic energy is 90.0 Joules. Use the energy methods to determine its maximum height abovethe lake surface. Then use the projectile motion kinematics todetermine its maximum height above the lake surface. Use the energy methods to determine its speed just beforeimpact with the water. Then use the projectile motion kinematics todetermine its speed just before impact with the water. I first tried to obtain the velocity and I believe it is19.7m/s and the I got the time as 6 seconds. After this I got lost. I got 19.5 m for the height which wasso close to the velocity. I think the velocity is wrong or eitherthe height is wrong. Thank you for your help again. A 200 g ball is launched from a height of 200m heightabove a lake. Its launch angle is 40 degrees and it has an initialkinetic energy is 90.0 Joules. Use the energy methods to determine its maximum height abovethe lake surface. Then use the projectile motion kinematics todetermine its maximum height above the lake surface. Use the energy methods to determine its speed just beforeimpact with the water. Then use the projectile motion kinematics todetermine its speed just before impact with the water. I first tried to obtain the velocity and I believe it is19.7m/s and the I got the time as 6 seconds. After this I got lost. I got 19.5 m for the height which wasso close to the velocity. I think the velocity is wrong or eitherthe height is wrong. Thank you for your help again.

Explanation / Answer

m = 200 g, h = 200 m, = 40o, K = 90.0 J K = mv2/2, so v = 30 m/s determine its maximum height H mgh + K = m(vcos)2/2 + mgH H = 219 m mgh + K = mV2/2 V = 69.4 m/s

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