work done by 975 kilograms from 25 m/s to 65 m/s

change in KE=work done

1/2 m (vf^2-vi^2)

To calculate the work done by an object, you need to know its mass and the change in its velocity. The formula for calculating work is:

Work = Force x Distance

However, in this case, we don't have the force applied directly. Instead, we will use the relationship between force, mass, and acceleration:

Force = mass x acceleration

Now, let's break down the steps to calculate the work done:

Step 1: Find the change in velocity
Change in velocity = Final velocity - Initial velocity = 65 m/s - 25 m/s = 40 m/s

Step 2: Find the acceleration
Acceleration = Change in velocity / Time taken

Since the time (t) is not given, we cannot directly calculate the acceleration. However, we can use another formula to find the time taken (t):

Change in velocity = acceleration x time
40 m/s = acceleration x t

Here we have two unknowns, acceleration and time. However, we can simplify things by assuming that the object underwent constant acceleration during this change in velocity. This assumption is known as the constant acceleration assumption.

Step 3: Calculate the time taken (t) using the constant acceleration assumption

Using the second equation of motion:
Change in velocity = acceleration x time

40 m/s = acceleration x t

Step 4: Calculate the acceleration (a)

To calculate the acceleration, rearrange the equation and solve for acceleration:
acceleration = change in velocity / time taken
acceleration = 40 m/s / t

Step 5: Calculate the force (F)

Using the relationship between force, mass, and acceleration: F = ma
F = 975 kg x acceleration

Step 6: Calculate the work done (W)

Finally, we can now calculate the work done using the formula: W = F x d
W = (975 kg x acceleration) x (change in velocity)

Note: Without knowing the time taken, we won't be able to give a specific numerical value for the work done in this case.