A stone of mass m kg is held h metres above the floor 50s.The workdone in joules over this period is
no motion in direction of force ----> no work done
To calculate the work done in joules over a period of time, we need to know the force exerted and the displacement of the object.
The work done is given by the formula:
Work = Force × Displacement × cosθ
Here, cosθ is the angle between the force and displacement vectors. In this case, since the stone is being held at a height and then dropped, the force and displacement are in the same direction, so cosθ = 1.
The force exerted on the stone is equal to its weight, which is given by:
Force = mass × acceleration due to gravity
The acceleration due to gravity on Earth is approximately 9.8 m/s².
Now, let's calculate the work done step by step:
1. Calculate the force exerted on the stone:
Force = mass × acceleration due to gravity
Force = m kg × 9.8 m/s²
2. Calculate the displacement of the stone:
Displacement = h meters
3. Calculate the work done:
Work = Force × Displacement × cosθ
Work = (m kg × 9.8 m/s²) × h meters × 1
So, the work done in joules over the given period of time is given by:
Work = m × 9.8 × h joules
Please provide the values of m (mass in kg) and h (height in meters) to calculate the precise work done over the period of 50s.
To calculate the work done on the stone as it is held above the floor, we can use the formula:
Work (W) = force (F) * distance (d) * cos(angle)
Since the stone is simply being held above the floor, the angle between the force and the direction of motion is 0 degrees (cos(0) = 1). Therefore, we can simplify the formula to:
Work (W) = force (F) * distance (d)
Now, the force exerted on the stone can be calculated using Newton's second law of motion:
Force (F) = mass (m) * acceleration due to gravity (g)
The acceleration due to gravity on Earth is approximately 9.8 m/s^2.
Therefore, the force exerted on the stone is:
F = m * g
Now, to calculate the distance the stone is held above the floor, we use the equation given in the question: h = 50 meters.
Substituting these values into the equation for work:
Work (W) = F * d
= m * g * h
So, to find the work done over this period, multiply the mass of the stone (in kilograms) by the acceleration due to gravity (9.8 m/s^2) and then multiply the result by the height (in meters) the stone was held above the floor for 50 seconds.