The work done on the sled, accelerated uniformly at 2.5 m/s^2 for 10 seconds, is 1250 Joules.
To determine the work done on the sled, we can use the formula for work done, which is given by:
Work = Force × Distance
In this case, the force can be calculated using Newton's second law:
Force = Mass × Acceleration
The sled's mass is given as 4 kg, and the acceleration is provided as 2.5 m/s^2. Using these values, we find the force acting on the sled.
Force = 4 kg × 2.5 m/s^2 = 10 N
Now, to find the distance traveled, we can use the kinematic equation:
Distance = Initial Velocity × Time + 1/2 × Acceleration × Time^2
The initial velocity is not given, so assuming it's 0 m/s (starting from rest), we can simplify the equation to:
Distance = 1/2 × Acceleration × Time^2
Plugging in the values (Acceleration = 2.5 m/s^2, Time = 10 s), we find the distance traveled.
Distance = 1/2 × 2.5 m/s^2 × (10 s)^2 = 125 m
Now, substitute these values into the work formula:
Work = Force × Distance = 10 N × 125 m = 1250 J
Therefore, the work done on the sled is 1250 Joules.