You pull upward on a stuffed suitcase with a force of 116 N, and it accelerates upward at 0.778 m/s2.
(a) What is the mass of the suitcase?
(b) What is the weight of the suitcase?
(a) Well, if you pull upward on the suitcase and it accelerates upward, it means the net force acting on the suitcase is equal to its mass multiplied by its acceleration (F = ma). Therefore, rearranging the equation, we can find the mass of the suitcase by dividing the force applied by the acceleration: m = F/a.
m = 116 N / 0.778 m/s^2
m ≈ 149.1 kg
So, the mass of the suitcase is approximately 149.1 kg.
(b) The weight of an object is the force of gravity acting on it. To find the weight of the suitcase, we can multiply its mass by the acceleration due to gravity (g). Typically, the magnitude of the acceleration due to gravity is approximately 9.8 m/s^2.
Weight = mass × acceleration due to gravity
Weight ≈ 149.1 kg × 9.8 m/s^2
Weight ≈ 1459.58 N
Therefore, the weight of the suitcase is approximately 1459.58 N.
To find the mass of the suitcase, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
(a) The formula to find the mass of an object is:
mass = force/acceleration
Given that the force is 116 N and the acceleration is 0.778 m/s^2, we can substitute these values into the formula:
mass = 116 N / 0.778 m/s^2
Calculating this, we find that the mass of the suitcase is approximately 149.1 kg.
To find the weight of an object, we can use the equation:
weight = mass × gravitational acceleration
(b) The standard value for the gravitational acceleration is approximately 9.8 m/s^2.
Using the mass of the suitcase calculated in part (a) (149.1 kg) and the gravitational acceleration, we can find the weight:
weight = 149.1 kg × 9.8 m/s^2
Calculating this, we find that the weight of the suitcase is approximately 1459 N.
To solve this problem, we will use Newton's second law of motion, which states that the force exerted on an object is equal to the mass of the object multiplied by its acceleration. We will also use the equation that relates weight, mass, and gravitational acceleration.
(a) To find the mass of the suitcase, we can rearrange the equation F = ma to solve for mass:
mass = force / acceleration
Given:
Force (F) = 116 N
Acceleration (a) = 0.778 m/s^2
Substituting the values into the equation, we have:
mass = 116 N / 0.778 m/s^2
mass ≈ 149.36 kg
Therefore, the mass of the suitcase is approximately 149.36 kg.
(b) The weight of an object is the force of gravity acting on it. It can be calculated using the equation:
weight = mass × acceleration due to gravity (g)
The acceleration due to gravity is approximately 9.8 m/s^2 on Earth.
Given:
Mass = 149.36 kg
Acceleration due to gravity (g) = 9.8 m/s^2
Substituting the values into the equation, we have:
weight = 149.36 kg × 9.8 m/s^2
weight ≈ 1462.65 N
Therefore, the weight of the suitcase is approximately 1462.65 N.
Assuming this is on earth where g = 9.8 m/s^2
Net Force = mass * acceleration
Net force = 116 - 9.8 m
so
116 - 9.8 m = m (.778)
solve for m
then weight = m g = 9.8 m