What magnitude of acceleration will result when 60N and 80N forces in opposite direction if applied to a 5kg body?
Fnet = m * a
(Newton's second law)
a = Fnet/m = (80 - 60)/5 = 4 m/s^2
To determine the magnitude of acceleration when two forces are applied to an object, you need to use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied and inversely proportional to the mass of the object.
Step 1: Determine the net force acting on the object.
In this case, the two forces are acting in opposite directions. The net force is the difference between the two forces:
Net force = 80N - 60N = 20N
Step 2: Use Newton's second law to calculate the acceleration.
The formula for Newton's second law is:
Force = mass × acceleration
Rearranging the formula, we get:
Acceleration = Net force / mass
Plugging in the values:
Acceleration = 20N / 5kg = 4 m/s²
Therefore, the magnitude of acceleration when 60N and 80N forces in opposite directions are applied to a 5kg body is 4 m/s².