calculate the work done in lifting a 300N weight to a height of 10m with an acceleration 0.5 m/s square.
Answer is 3150J
To calculate the work done in lifting a weight, we need to use the formula:
Work = Force × Distance
The force (F) can be calculated using Newton's second law:
Force = Mass × Acceleration.
In this case, the mass can be calculated using the formula:
Mass = Force / Acceleration.
Let's start by finding the mass:
Mass = 300N / 0.5 m/s^2
= 600 kg.
Now that we have the mass, we can calculate the force of gravity acting on the weight:
Force = Mass × Acceleration
= 600 kg × 9.8 m/s^2
= 5880 N.
The distance (D) given is 10m.
Now, let's calculate the work done:
Work = Force × Distance
= 5880 N × 10 m
= 58800 Joules.
Therefore, the work done in lifting the 300N weight to a height of 10m with an acceleration of 0.5m/s^2 is 58800 Joules.
3150J
The answer is 3000 joule
.