How much work is done on a sled if it is pulled 20 meters by a force of 105N applied to a rope that makes an angle of 50 degrees with the horizontal?
what is newtons 3 rd law
give example
hi --- If you pull on the sled with x Newtons, the sled pulls back on you with x Newtons
That is Newton 3
Force component in direction of motion = 105 cos 50
Your questions are all the same really.
To calculate the work done on the sled, you need to use the formula:
Work = Force x Distance x cos(angle)
Given:
Force = 105N
Distance = 20 meters
Angle = 50 degrees
Now, let's plug in the values and calculate the work done:
Work = 105N x 20m x cos(50 degrees)
First, we need to convert the angle from degrees to radians:
50 degrees * (π/180 degrees) = 0.87 radians (approximately)
Now, we can substitute the values into the formula:
Work = 105N x 20m x cos(0.87 radians)
Finally, using a scientific calculator, we can find the cosine of 0.87 radians, which is approximately 0.641.
Work ≈ 105N x 20m x 0.641
Therefore, the work done on the sled is approximately:
Work ≈ 1348.05 joules