a man having a mass of 60 kg exerts a horizontal force of 200 newton in pushing
Step 1: Convert the force from Newton to kgf (kilogram force):
1 kgf = 9.8 N
200 N = (200 N) / (9.8 N/kgf)
= 20.41 kgf
Step 2: Calculate the acceleration using Newton's second law of motion:
Force = mass * acceleration
200 N = 60 kg * acceleration
Divide both sides of the equation by 60 kg:
200 N / 60 kg = acceleration
= 3.33 m/s^2
Therefore, the man's acceleration is 3.33 m/s^2.
To calculate the acceleration produced by the force, you 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 this law is:
F = m * a
where F is the force applied, m is the mass of the object, and a is the resulting acceleration.
In this case, the force (F) applied by the man is 200 newtons, and the mass (m) of the man is 60 kg. To find the acceleration (a), rearrange the formula:
a = F / m
Now, plug in the values:
a = 200 N / 60 kg
Performing the calculation:
a = 3.33 m/s²
So when a man with a mass of 60 kg exerts a horizontal force of 200 newtons, he will produce an acceleration of approximately 3.33 m/s².