calculate work done using machine to raise a load of 10kg through height of 2m and effenciency is 70%
.70 * work = m * g * h = 10 kg * 9.8 m/s^2 * 2 m
To calculate the work done by a machine to raise a load, you can use the formula:
Work = Force × Distance
In this case, the force required to raise the load can be calculated using the formula:
Force = Mass × Acceleration due to gravity
Given:
Load mass = 10 kg
Height = 2 m
Efficiency = 70% (or 0.70)
First, let's calculate the force required to lift the load:
Force = 10 kg × 9.8 m/s² (acceleration due to gravity)
Force = 98 N
Next, let's calculate the work done by the machine:
Work = Force × Distance
Work = 98 N × 2 m
Work = 196 Joules
Since the efficiency of the machine is given as 70%, we can calculate the actual work done by the machine as follows:
Actual Work = Work × Efficiency
Actual Work = 196 J × 0.70
Actual Work = 137.2 Joules
Therefore, the work done by the machine to raise a load of 10 kg through a height of 2 m, with an efficiency of 70%, is 137.2 Joules.
To calculate the work done by a machine to raise a load, you need to consider the force exerted and the distance over which the force is applied. The formula for work is:
Work = Force x Distance
First, let's calculate the force required to raise the load. The force is equal to the weight of the load, which is the mass (m) multiplied by the acceleration due to gravity (g). In this case, the mass is 10 kg and the acceleration due to gravity is approximately 9.8 m/s^2.
Force = Mass x Acceleration due to gravity
= 10 kg x 9.8 m/s^2
= 98 N
Now, let's calculate the work done by the machine. We'll use the given efficiency of 70% to account for losses.
Work = Force x Distance x Efficiency
The distance is given as 2 m, and the efficiency is 70%, which can be expressed as 0.70.
Work = 98 N x 2 m x 0.70
= 137.2 Joules
Therefore, the work done by the machine to raise a load of 10 kg through a height of 2 m, with an efficiency of 70%, is 137.2 Joules.