How much power is needed to accelerate an object with a mass of #4 kg# and a velocity of #8 m/s# at a rate of #2 m/s^2#?

Answer 1

Emily Abbate

#64W#

#P=FV# #F=ma#

Hence, #P=maV#

#P=(4kg)(8ms^-1)(2ms^-2)=64W#

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Answer 2

Amelia Adams

The power needed to accelerate an object can be calculated using the formula:

Power = Force × Velocity,

where Force is the product of mass and acceleration (F = m * a).

Substituting the given values:

Mass (m) = 4 kg,
Velocity (v) = 8 m/s,
Acceleration (a) = 2 m/s^2,

we can find the force, and then multiply it by the velocity to find the power:

Force = Mass × Acceleration = 4 kg × 2 m/s^2 = 8 N,

Power = Force × Velocity = 8 N × 8 m/s = 64 watts.

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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.