calculate the work done in lifting a 300N weight to a height of 10 m with an acceleration 0.5m/second square.
No bad
W=F.s
W=300X10
= 3000J
To calculate the work done in lifting a weight, we need to use the formula:
Work = Force × Distance × cos(θ)
In this case, the force is the weight being lifted, the distance is the height it is lifted, and θ is the angle between the force and the direction of motion (which is vertical in this case, so θ = 0).
Given:
Force (F) = 300 N
Distance (d) = 10 m
Acceleration (a) = 0.5 m/s^2
First, let's calculate the mass (m) of the weight using the formula:
Force (F) = mass (m) × acceleration (a)
Rearranging the formula, we have:
m = F / a
Substituting the given values:
m = 300 N / 0.5 m/s^2
m = 600 kg
Now we can calculate the work done:
Work = Force × Distance × cos(0)
Since cos(0) = 1, the formula simplifies to:
Work = Force × Distance
Substituting the given values:
Work = 300 N × 10 m
Work = 3000 J
Therefore, the work done in lifting the 300 N weight to a height of 10 m is 3000 Joules (J).