A force of 297.0 N is used to push a 165 kg mass 30.0 m horizontally in 3.00 s.
(a) Calculate the work done on the mass.
Enter a number.1 kJ
(b) Calculate the power developed.
Enter a number.2 kW
To calculate the work done on the mass, you can use the formula:
Work (W) = Force (F) × Distance (d) × cos(theta)
In this case, the force applied is 297.0 N, the distance is 30.0 m, and since the force is applied horizontally, the angle between the force and displacement is 0 degrees.
So, using the formula:
W = 297.0 N × 30.0 m × cos(0)
The cosine of 0 degrees is 1, so the equation simplifies to:
W = 297.0 N × 30.0 m × 1 = 8910 J
Therefore, the work done on the mass is 8910 J.
To calculate power, you can use the formula:
Power (P) = Work (W) ÷ Time (t)
In this case, the work done is 8910 J and the time taken is 3.00 s.
So, using the formula:
P = 8910 J ÷ 3.00 s
P = 2970 W
To convert watts to kilowatts, simply divide the value by 1000:
P = 2970 W ÷ 1000 = 2.97 kW
Therefore, the power developed is 2.97 kW.