what is the mass of a playset that is moved with 580n of force for 11 seconds at 1.5 m/s?
force=mass*acceleration
Now acceleration. You indicated a time,and a velocity. If that is final velocity, and it started at zero, then
acceleration= finalvelocity/time=1.5/11 m/s^2
solve for mass.
To find the mass of the playset, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a):
F = m * a
In this case, the force (F) is given as 580 N, and the acceleration (a) can be calculated using the formula:
a = (final velocity - initial velocity) / time
Given that the playset is moved with a constant velocity of 1.5 m/s for 11 seconds, the acceleration would be zero since there is no change in velocity (final velocity - initial velocity = 0). Therefore, we can rewrite the formula as:
a = (0 - 1.5) m/s / 11 s = -1.5 / 11 m/s²
Now, substituting the values into Newton's second law equation:
580 N = m * (-1.5 / 11 m/s²)
To find the mass (m), we need to rearrange the equation:
m = F / a
m = 580 N / (-1.5 / 11 m/s²)
m = 580 N * (11 m/s² / -1.5)
m ≈ -5085.33 kg (rounded to two decimal places)
Therefore, the mass of the playset, based on the given values, is approximately -5085.33 kg.