if a 700-kg piano us lifted 4.0 meters in 14 seconds, how much power is developed

To calculate the power developed, we can use the formula:

Power (P) = Work (W) / Time (t)

First, we need to calculate the work done. The work done is given by the formula:

Work (W) = Force (F) x Distance (d)

The force required to lift the piano is equal to its weight. The weight is given by the formula:

Weight (W) = mass (m) x acceleration due to gravity (g)

The acceleration due to gravity is approximately 9.8 m/s^2.

Using the given information:
Mass (m) = 700 kg
Distance (d) = 4.0 m
Time (t) = 14 s
Acceleration due to gravity (g) = 9.8 m/s^2

Step 1: Calculate the weight of the piano:
Weight (W) = m x g
Weight (W) = 700 kg x 9.8 m/s^2

Step 2: Calculate the work done:
Work (W) = F x d
Work (W) = W x d

Step 3: Calculate the power:
Power (P) = W / t

Let's plug in the values and calculate:

Weight (W) = 700 kg x 9.8 m/s^2
Work (W) = W x d
Power (P) = W / t

Weight (W) = 6860 N
Work (W) = 6860 N x 4.0 m
Power (P) = (6860 N x 4.0 m) / 14 s

Power (P) = 1960 Watts

Therefore, the power developed is 1960 Watts.

To determine the power developed in lifting the piano, we need to use the formula for power:

Power = Work / Time

To find the work done, we can use the formula:

Work = Force × Distance

In this case, the force exerted on the piano is equal to its weight, which can be calculated using the formula:

Weight = mass × gravity

The mass of the piano is given as 700 kg, and the acceleration due to gravity on Earth is approximately 9.8 m/s^2.

Let's calculate step by step:

1. Calculate the weight of the piano:
Weight = mass × gravity
Weight = 700 kg × 9.8 m/s^2

2. Calculate the work done:
Work = Force × Distance
Work = Weight × Distance
Work = <result from step 1> × 4.0 meters

3. Calculate the power:
Power = Work / Time
Power = <result from step 2> / 14 seconds

Now, let's do the calculations:

1. Weight = 700 kg × 9.8 m/s^2 = 6860 N

2. Work = 6860 N × 4.0 meters = 27440 N·m

3. Power = 27440 N·m / 14 seconds

Calculating the final result:

Power = 1960 watts

Therefore, the power developed in lifting the 700-kg piano is 1960 watts.