± work and Energy Part A How much work is done when a 175 g tomato is lifted 19.
ID: 692177 • Letter: #
Question
± work and Energy Part A How much work is done when a 175 g tomato is lifted 19.3 m? An object can possess kinetic energy, the energy of motion, and or potential energy, the energy of position. Energy can be transferred in many ways, one of which is in the form of work. Work, , is the energy transferred when an object is caused to move a distance, d, against a force, F Mathematically, we would write this as Express your answer with the appropriate units. Hints au 33.1 J Submit My Answers Give Up Force is the product of mass, m, and acceleration, a: Correct When the acceleration is due to gravity, the symbol g is used instead of a, and its value is g 9.81 m·s The energy transferred to the tomato by doing work on it increases its potential energy because the tomato is now at a greater height or position relative to the ground Kinetic energy Kinetic energy, B, is given by the fomula E^mv2 where m is mass is the mass in kilograms and v is velocity in meters per second. Part B The tornato is dropped, what is the velocity, v. of the tomato when it hits the ground? Assume 82.2 % of the work done in Part A is transferred to kinetic energy, E, by the time the tomato hits the ground. Express your answer with the appropriate units. Hints 13.5 1 2 Submit My Answers Give Up Incorrect; Try Again; 4 attempts remainingExplanation / Answer
Kinetic energy,
KE = 82.2 % of 33.1 J
= 82.2*33.1/100
= 27.21 J
now use:
KE = 0.5*m*v^2
27.21 J = 0.5*(0.175 Kg)*v^2
v = 17.6 m/s
Answer: 17.6 m/s
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