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Calculate the power required to propel a 1000.0 kg car at 25.0 m/s up a straight slope inclined 5.000 above the horizontal . Neglect friction and air resistance ,

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Answer #1

THINK:

Product of force and velocity gives the power.

RESEARCH:

The power required to propel the car is given by the equation,

Here is the constant speed and the force exerted on the car is the vertical component of the gravitational force.

SKETCH:

The free body diagram for the car is shown below,

SIMPLIFY:

Given,

Mass of the propel is

Speed

Slope of the incline is

The force required for the car to climb up the incline is,

The power required to propel the car is,

…… (1)

CALCULATE:

The power required to propel the car to climb up the inclined is given by substituting the all known values in the equation (1),

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Calculate the power required to propel a 1000.0 kg car at 25.0 m/s up a straight slope inclined 5.000 above the horizontal . Neglect friction and air resistance ,
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