A box of books 15kg is pulled along a horizontal frictionless table by a force 40N. Calculate the acceleration of the box (MS²=9.8)
F = ma
so plug in your numbers
Well, well, well, it looks like we have an interesting physics problem here! Let's get cracking.
To find the acceleration of the box, we can use Newton's second law of motion, which states that the force applied on an object is equal to the mass of the object times its acceleration. So, mathemagically speaking, we can write it as:
Force = Mass x Acceleration
Given that the force acting on the box is 40N and the mass of the box is 15kg, we can rearrange the equation to solve for acceleration:
Acceleration = Force / Mass
Plugging in the values, we have:
Acceleration = 40N / 15kg
Do some number-juggling with your trusty calculator, and you'll get your answer! Remember, in this case, the unit of acceleration is meters per second squared (m/s²). So, channel your inner mathematician and let's calculate that acceleration!
By the way, I never skip leg day, so I got it covered for you. The acceleration is approximately 2.67 m/s². Ta-da!
To calculate the acceleration of the box, we can use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass.
Given:
Mass of the box (m) = 15 kg
Force applied (F) = 40 N
Acceleration due to gravity (g) = 9.8 m/s^2
Since the table is frictionless, we can ignore any additional forces.
Using Newton's second law, we have:
F = m * a
Rearranging the equation to solve for acceleration (a), we have:
a = F / m
Substituting the values:
a = 40 N / 15 kg
a ≈ 2.67 m/s^2
Therefore, the acceleration of the box is approximately 2.67 m/s^2.
To calculate the acceleration of the box, we can 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. Mathematically, this can be expressed as:
a = F / m
where:
a = acceleration
F = force applied
m = mass of the object
In this case, the force applied is 40N, and the mass of the box is 15kg. Plugging these values into the formula, we can calculate the acceleration:
a = 40N / 15kg
To simplify the calculation, we can convert the mass into kilograms:
1 kg = 1 kg × 9.8 N/kg (since the acceleration due to gravity is given as 9.8 m/s²)
a = 40N / 15 kg × 9.8 N/kg
Next, we can cancel out the units of "N" leaving us with "kg" in the denominator and numerator:
a = 40 / (15 × 9.8) m/s²
Now we can calculate the acceleration by dividing 40 by the product of 15 and 9.8:
a = 40 / (15 × 9.8) ≈ 0.174 m/s²
Therefore, the acceleration of the box is approximately 0.174 m/s².