How much work is done in lifting a 6kg object from the ground to a height of 4m?
A 12n object is lifted 5m how much work is done
How much work is done if a 5n object is lifted from the ground to a height of 8m?
How much gravitational potential energy does the object gain?
Work = F*h = mg * h = 6*9.8 * 4=235.2 J.
Work = F*h = 12 * 5 = 60 J.
Work = 5*8 = 40 J.
PE = mg*h = 5 * 8 = 40 J.
To calculate the work done in lifting an object, we need to use the formula:
Work = Force x Distance x cos(theta)
where:
- Force is the force applied to lift the object (in Newtons)
- Distance is the vertical distance the object is lifted (in meters)
- Theta is the angle between the force applied and the direction of the displacement (in degrees). Since the object is lifted vertically, theta is 0 degrees.
1. For the first question, lifting a 6kg object from the ground to a height of 4m, we need to know the force applied to lift the object. This force is equal to the weight of the object, which can be calculated using the formula:
Force = mass x acceleration due to gravity
Assuming acceleration due to gravity is approximately 9.8 m/s^2, the force can be calculated as follows:
Force = 6kg x 9.8 m/s^2 = 58.8 N
Now we can calculate the work done using the formula:
Work = Force x Distance x cos(theta) = 58.8 N x 4m x cos(0 degrees) = 235.2 Joules (J)
Therefore, the work done in lifting a 6kg object from the ground to a height of 4m is 235.2 Joules.
2. For the second question, lifting a 12N object for a distance of 5m, we can directly calculate the work using the formula:
Work = Force x Distance x cos(theta) = 12N x 5m x cos(0 degrees) = 60 Joules (J)
Therefore, the work done in lifting a 12N object for a distance of 5m is 60 Joules.
3. For the third question, lifting a 5N object from the ground to a height of 8m, we can again use the formula:
Work = Force x Distance x cos(theta) = 5N x 8m x cos(0 degrees) = 40 Joules (J)
Therefore, the work done in lifting a 5N object from the ground to a height of 8m is 40 Joules.
4. The gravitational potential energy gained by an object is equal to the work done on the object to lift it to a certain height. Therefore, in the first and third questions, the gravitational potential energy gained by the objects is also equal to the work done on them:
Gravitational Potential Energy = Work = 235.2 Joules (in the first question)
Gravitational Potential Energy = Work = 40 Joules (in the third question)
To calculate the work done in lifting an object, you need to use the formula: Work = Force × Distance × cos(theta). Here, "Force" refers to the force applied to lift the object, "Distance" is the vertical distance the object is lifted, and "cos(theta)" is the angle between the force applied and the direction of motion.
For the first question, the object weighs 6kg. To find the force required to lift it, you need to multiply its mass by the acceleration due to gravity (9.8 m/s^2). Therefore, the force required is 6kg × 9.8 m/s^2 = 58.8N. The distance the object is lifted is 4m.
Using the formula, Work = Force × Distance × cos(theta), we can assume that the angle between the force and the direction of motion is 0 degrees since the object is being lifted vertically. Hence, cos(theta) = 1.
Therefore, Work = 58.8N × 4m × 1 = 235.2 Joules.
For the second question, the force required to lift the 12N object is already given, and the distance is 5m. Thus, using the same formula, Work = 12N × 5m × cos(theta). Assuming the angle theta is 0 degrees, cos(theta) = 1.
Therefore, Work = 12N × 5m × 1 = 60 Joules.
For the third question, the force required is 5N, and the distance is 8m. Again, using the formula, Work = 5N × 8m × cos(theta). Assuming the angle theta is 0 degrees, cos(theta) = 1.
Therefore, Work = 5N × 8m × 1 = 40 Joules.
To calculate the gravitational potential energy gained by the object, you can use the formula: Gravitational Potential Energy = Mass × Gravity × Height. Here, "Mass" is the mass of the object, "Gravity" is the acceleration due to gravity (9.8 m/s^2), and "Height" is the vertical distance the object is lifted.
Using this formula, the gravitational potential energy gained by the 6kg object lifted to a height of 4m would be:
Gravitational Potential Energy = 6kg × 9.8 m/s^2 × 4m = 235.2 Joules.
Similarly, for the 5N object lifted to a height of 8m, the gravitational potential energy gained would be:
Gravitational Potential Energy = 5N × 9.8 m/s^2 × 8m = 392 Joules.