Answer: The net work needed to accelerate the 5 kg block from 6 m/s to 10 m/s, in the same direction, horizontally, is 40 J.
Explanation: To find the net work needed to accelerate a 5 kg block from 6 m/s to 10 m/s, in the same direction, horizontally, you can use the formula:
Net work = force x displacement
In this case, the force is the acceleration of the block, which can be calculated using the formula:
Acceleration = (final velocity - initial velocity) / time
Since the mass of the block is 5 kg, the acceleration can also be calculated using the formula:
Acceleration = net force / mass
So to find the net work needed to accelerate the block, you first need to determine the acceleration. Let's assume that the acceleration takes place over a time period of 2 seconds. Using the formula for acceleration, we can calculate the acceleration as follows:
Acceleration = (10 m/s - 6 m/s) / 2 s = 2 m/s^2
Next, we can use the formula for net work to find the net work needed to accelerate the block. Since the displacement is the change in velocity, which is 4 m/s in this case, the net work can be calculated as follows:
Net work = force x displacement = (5 kg) x (2 m/s^2) x (4 m/s) = 40 J
Therefore, the net work needed to accelerate the 5 kg block from 6 m/s to 10 m/s, in the same direction, horizontally, is 40 J.