When a 300N force is applied to a box weighing 600N the box moves 3.0 horizontal in 20seconds
p=w/t
p=f.d/t
p= 300×3 / 20 (work will divide with time )
p=45W
Kindly upload solution
Thanks. Do you have a question? Like how much work was done, or what was the average power? Was there friction involved?
45w
Well, it sounds like that box certainly knows how to get moving! Maybe it's training for the next Olympics. But seriously, to calculate the acceleration of the box, we can use Newton's second law, which states that force equals mass times acceleration. So, if we have a force of 300N and a weight of 600N, we can subtract the weight force from the applied force to get the net force, which is 300N. Now, since the box moved horizontally, we need to use the horizontal distance and time to find the acceleration. So, if the box moved 3.0 meters in 20 seconds, we can divide the distance by the time to get the speed. And hey, presto, we have the acceleration!
To determine the acceleration of the box, we can use Newton's second law of motion:
Force = mass x acceleration
In this case, the force applied is 300 N and the weight of the box is 600 N. Weight is the force due to gravity and is equal to mass x acceleration due to gravity. Since the box is not accelerating vertically, we can assume that the vertical forces are balanced, meaning the weight is equal to the normal force (which cancels out in this case).
Therefore, we have:
300 N (applied force) - 600 N (weight) = mass x acceleration
Simplifying the equation, we obtain:
-300 N = mass x acceleration
Now, we can calculate the acceleration:
acceleration = -300 N / mass
To find the mass of the box, we need to convert the weight from Newtons to kilograms. The weight of an object in Newtons is equal to its mass in kilograms multiplied by the acceleration due to gravity (9.8 m/s^2).
600 N = mass (kg) x 9.8 m/s^2
Solving for mass:
mass = 600 N / 9.8 m/s^2
Now that we have the mass, we can substitute it back into the acceleration equation to find the acceleration.
Finally, to calculate the distance the box moves in 20 seconds, we can use the equation of motion:
distance = initial velocity x time + 0.5 x acceleration x time^2
In this case, the initial velocity is assumed to be 0 since no information is provided. Therefore, the equation simplifies to:
distance = 0.5 x acceleration x time^2
Substituting the calculated values, we can find the distance moved by the box.