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Answer :
Final answer:
The power required to lift a 2.00 kg mass at a speed of 2.00 m/s is calculated using the formula [tex]P = F * v.[/tex] The force is found by multiplying the mass by the acceleration due to gravity [tex](F = m * g)[/tex] and then the power is obtained by multiplying this force by the velocity. The result is 39.24 watts.
Explanation:
To calculate the power required to lift a 2.00 kg mass at a speed of 2.00 m/s, we can use the formula[tex]P = F * v[/tex], where P represents power, F is force, and v is velocity. First, we need to determine the force (F) necessary to lift the mass. This is equal to the weight of the mass, which can be calculated using [tex]F = m * g[/tex], where m is the mass and g is the acceleration due to gravity (9.81 m/s2). For a 2.00 kg mass, the force is[tex]F = 2.00 kg * 9.81 m/s2 = 19.62 N[/tex]. Subsequently, the power (P) can be calculated by multiplying the force (F) by the velocity (v), resulting in [tex]P = 19.62 N * 2.00 m/s = 39.24 W[/tex]. Hence, the power required to lift the 2.00 kg mass at 2.00 m/s is 39.24 watts.
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