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How much power is needed to accelerate an object with a mass of #12 kg# and a velocity of #5 m/s# at a rate of #2 m/s^2#?

Answer 1

Benjamin Asiedu

#"Power="120 " (N.m)/s"#

#"Power="m*a*v# #m:"mass"# #a:"acceleration"# #v:"velocity"# #"Power="12*2*5# #"Power="120 " (N.m)/s"#

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Answer 2

Amelia Adams

To calculate the power needed to accelerate the object, use the formula:

[ P = F \cdot v ]

Where ( P ) is power, ( F ) is force, and ( v ) is velocity.

To find the force, use Newton's second law:

[ F = m \cdot a ]

Where ( m ) is mass and ( a ) is acceleration.

Given:

Mass (( m )): 12 kg
Initial velocity (( v )): 5 m/s
Acceleration (( a )): 2 m/s²

Calculate force:

[ F = 12 , \text{kg} \times 2 , \text{m/s}^2 = 24 , \text{N} ]

Then, calculate power:

[ P = 24 , \text{N} \times 5 , \text{m/s} = 120 , \text{W} ]

So, the power needed to accelerate the object is 120 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.