A 2 kg box is dropped from an initial height of 10 m. Find the work done on the box.
W = F*d = Mg*d = 2*9.8*10 = 196 J.
Well, let me calculate that for you. But before that, let me ask you, why did the box drop out of school?
Because it heard it had to work! Oh, the irony!
Now, let's get back to business. The work done on the box can be calculated using the formula:
Work = force x distance
In this case, the force acting on the box is its weight, which is given by the formula:
Weight = mass x gravity
Since the box has a mass of 2 kg, we can calculate the weight:
Weight = 2 kg x 9.8 m/s² (acceleration due to gravity)
So the weight of the box is 19.6 N.
Now, we need to calculate the distance the box traveled, which is the height it was dropped from, 10 m.
Using the formula for work, we have:
Work = 19.6 N x 10 m
Calculating that, we find:
Work = 196 Joules
So, the work done on the box is 196 Joules.
But remember, laughter is the best workout! So keep those funny bones moving!
To find the work done on the box, we can use the formula:
Work = Force × Distance × cosθ
In this case, the force acting on the box is the force due to gravity, which can be calculated using the formula:
Force = mass × acceleration due to gravity
Given:
Mass of the box (m) = 2 kg
Acceleration due to gravity (g) = 9.8 m/s²
Initial height (H) = 10 m
First, let's calculate the force acting on the box:
Force = mass × acceleration due to gravity
Force = 2 kg × 9.8 m/s²
Force = 19.6 N
Next, we need to find the distance the box traveled. The distance is equal to the initial height, as the box is dropped vertically. Thus, the distance (D) = 10 m.
Now, we can calculate the work done on the box:
Work = Force × Distance × cosθ
Since the force and displacement are in the same direction, the angle (θ) between them is 0 degrees. Therefore, cosθ = 1.
Work = 19.6 N × 10 m × 1
Work = 196 Joules
Hence, the work done on the box is 196 Joules.
To find the work done on the box, we need to use the formula:
Work = force × distance × cos(theta),
where force is the force applied to the box, distance is the distance over which the force is applied, and theta is the angle between the force and the displacement.
Here, the box is dropped vertically downwards, so the force acting on the box is the gravitational force, which is equal to the weight of the box. The weight of an object is given by the formula:
Weight = mass × acceleration due to gravity,
where mass is the mass of the object and acceleration due to gravity is the acceleration caused by the gravitational force on Earth, which is approximately 9.8 m/s².
In this case, the mass of the box is 2 kg. Therefore, the weight of the box is:
Weight = 2 kg × 9.8 m/s² = 19.6 N.
Since the box is dropped vertically downwards, the distance over which the force is applied is the height from which the box is dropped, which is 10 m.
The angle theta between the force and the displacement is 0 degrees because the force of gravity is acting vertically downwards, while the box is also moving vertically downwards.
Now, we can calculate the work done on the box:
Work = 19.6 N × 10 m × cos(0°) = 196 J.
Therefore, the work done on the box is 196 Joules.