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What is the kinetic energy of an object with a mass of # 16 kg# that has been in freefall for # 6 s#?

Answer 1

Charlotte Aaron

#E_k=27715.9968" Joules"#

#v=g*t#

#v:"velocity of object for t=6 "#

#g:"acceleration of gravity g=9.81 "m/s^2#

#v=9.81*6=58.86" "m/s#

#"The kinetic energy of an object is calculated by :"E_k=1/2*m*v^2#

#m:"mass of object"#

#v:"velocity of object"#

#E_k:"The kinetic energy of object"#

#E_k= 1/cancel(2) * cancel(16)*(58.86)^2#

#E_k=8*3464.4996#

#E_k=27715.9968" Joules"#

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Answer 2

Julia Aguilar

The kinetic energy of an object in freefall for 6 seconds depends on the acceleration due to gravity and the object's velocity at that time, which can be calculated using the formula KE = 0.5 * m * v^2, where KE is the kinetic energy, m is the mass of the object, and v is its velocity. Since the object is in freefall, its velocity can be calculated using the formula v = g * t, where g is the acceleration due to gravity (approximately 9.8 m/s^2) and t is the time in seconds. Plugging in the given values, we find:

v = 9.8 m/s^2 * 6 s = 58.8 m/s

Now, we can calculate the kinetic energy:

KE = 0.5 * 16 kg * (58.8 m/s)^2 = 5494.4 J

Therefore, the kinetic energy of the object is 5494.4 joules.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.