how much work must be done to raise a 5kg block of steel from the ground to a height of 2m (in Joules) in the absence of friction?
Work = 98Joule
To find the amount of work done to raise a block of steel, we can use the formula:
Work = force × distance × cos(angle)
In this case, the block is being raised vertically, so the angle between the force and the distance is 0 degrees. Therefore, the formula simplifies to:
Work = force × distance
The force required to raise the block is equal to its weight. The weight can be calculated using the formula:
Weight = mass × gravitational acceleration
In this case, the mass of the block is 5 kg, and the standard acceleration due to gravity is approximately 9.8 m/s^2. So:
Weight = 5 kg × 9.8 m/s^2 = 49 N
The distance the block is being raised is 2 m. Now we can calculate the work:
Work = force × distance = 49 N × 2 m = 98 J
Therefore, the amount of work required to raise the 5 kg block of steel to a height of 2 m is 98 Joules.