A force of 20 N accelerates an object with a mass of 1201 g. What is the acceleration of the objects in m/s2, correct to one decimal place?
Question
A force of 20 N accelerates an object with a mass of 1201 g. What is the acceleration of the objects in m/s2, correct to one decimal place?
Solution 1
First, we need to convert the mass from grams to kilograms because the standard unit of mass in physics is kilograms.
1 kg = 1000 g
So, 1201 g = 1201/1000 = 1.201 kg
Next, we use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This can be written as:
F = ma
where: F is the force in Newtons, m is the mass in kilograms, and a is the acceleration in m/s².
We can rearrange the formula to solve for acceleration (a):
a = F/m
Substituting the given values:
a = 20 N / 1.201 kg = 16.65279 m/s²
Rounding to one decimal place, the acceleration of the object is 16.7 m/s².
Solution 2
First, we need to convert the mass from grams to kilograms because the standard unit of mass in physics is kilograms.
1 kg = 1000 g
So, 1201 g = 1201/1000 = 1.201 kg
Next, we use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This can be written as:
F = ma
where: F is the force in Newtons, m is the mass in kilograms, and a is the acceleration in m/s².
We can rearrange the formula to solve for acceleration (a):
a = F/m
Substituting the given values:
a = 20 N / 1.201 kg = 16.652 m/s²
Rounding to one decimal place, the acceleration of the object is 16.7 m/s².
Similar Questions
An object experiences a net force of 8.8 N. This applied force results in the object accelerating at 240 cm/s2 in the direction of the net force. What is the mass of the object in kg, correct to one decimal place?
A net force of 5. 84 N accelerates a cart of mass 3.32 kg. What is the acceleration of the trolley in m/s2, correct to 1 decimal place?
A 0.52 kilogram rocket is launched by an engine that exerts an average force of 8.00 N. What is the rocket's acceleration in m/s2 correct to one decimal place
An object of mass 8.8 kg has an acceleration of 11.8 m/s2 . What is the net force causing this acceleration in newtons(N), correct to one decimal place?
A mass of 120.2 g is accelerated by a force. The acceleration of the mass is 5 m/s2 in the direction of the applied force. What is the force causing this acceleration?Group of answer choices60.1 N601 N0.601 N24.04 N
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.