A suitcase has a mass of 14.4kg. A man lifts the suitcase off the floor by exerting a vertical force of 170N on the suitcase. What is the acceleration of the suitcase while the man is lifting it?
force on bag = Force up - weight down
170 - 14.4*9.81 = 14.4 * a
To find the acceleration of the suitcase while the man is lifting it, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.
The net force is the force exerted by the man, which is 170N, and the mass of the suitcase is 14.4kg.
Using the formula:
Net Force = mass x acceleration
Plugging in the given values, we have:
170N = 14.4kg x acceleration
To find the acceleration, we can rearrange the formula:
acceleration = Net Force / mass
Substituting the known values, we get:
acceleration = 170N / 14.4kg
Calculating this, we find:
acceleration ≈ 11.81 m/s²
Therefore, the acceleration of the suitcase while the man is lifting it is approximately 11.81 m/s².
To find the acceleration of the suitcase, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass.
The formula for Newton's second law is: F = m * a
Where:
F = Net force applied to the object (in Newtons, N)
m = Mass of the object (in kilograms, kg)
a = Acceleration of the object (in meters per second squared, m/s²)
In this case, we know the mass of the suitcase (m = 14.4 kg) and the force exerted on it by the man (F = 170 N). We need to calculate the acceleration (a).
Rearranging the formula, we have:
a = F / m
Substituting the values:
a = 170 N / 14.4 kg
Calculating the division:
a ≈ 11.8 m/s²
Therefore, the acceleration of the suitcase while the man is lifting it is approximately 11.8 m/s².