what is change of [potential energy as result of this move of how much work is done in raising a 35kg crate a distance of 1.5m above a storeroom floor
ΔPE =mgh =35•9.87•1.5 = ...
To calculate the change in potential energy and the amount of work done in raising a crate, we can use the formula:
Potential energy (PE) = mass (m) * gravity (g) * height (h)
Work done (W) = force (F) * distance (d)
Given:
Mass (m) = 35 kg
Height (h) = 1.5 m
First, we need to calculate the potential energy change:
PE = 35 kg * 9.8 m/s^2 * 1.5 m
= 514.5 J
The change in potential energy is 514.5 Joules.
Next, we can calculate the work done:
Work done = Force * Distance
To find the force, we need to use the formula:
Force = mass * acceleration
Acceleration is equal to gravity in this case. So:
Force = mass * gravity
Force = 35 kg * 9.8 m/s^2
= 343 N
Now, we can find the work done:
Work done = Force * Distance
= 343 N * 1.5 m
= 514.5 J
Therefore, the work done in raising the crate a distance of 1.5 m is 514.5 Joules.
To find out the change in potential energy and the amount of work done in raising the crate, we can use the formula:
Potential Energy = mgh
Where:
m = mass of the crate (35 kg)
g = acceleration due to gravity (approximately 9.8 m/s²)
h = height or distance above the storeroom floor (1.5 m)
Now, let's calculate the change in potential energy:
Potential Energy = 35 kg * 9.8 m/s² * 1.5 m
Potential Energy = 514.5 Joules
Therefore, the change in potential energy of the crate is 514.5 Joules.
To calculate the work done, we can use the formula:
Work = force * distance
In this case, the force required to raise the crate would be equal to the weight of the crate, which is given by the formula:
Weight = mass * acceleration due to gravity
Weight = 35 kg * 9.8 m/s²
Weight = 343 Newtons
Now, we can calculate the work done:
Work = 343 N * 1.5 m
Work = 514.5 Joules
Therefore, the amount of work done in raising the 35 kg crate a distance of 1.5 m above the storeroom floor is also 514.5 Joules.
So, the change in potential energy and the work done are both equal to 514.5 Joules.