A crate has a mass of 27 kg. What applied force is required to produce an acceleration of 3 m/s2 if the frictional force is known to be 98 N?
ma=F-F(fr),
F= ma+F(fr)
To calculate the applied force required to produce the desired acceleration, we can use Newton's second law of motion:
F = m * a
Where:
F is the net force applied to the crate
m is the mass of the crate
a is the desired acceleration
Given:
Mass of the crate (m) = 27 kg
Desired acceleration (a) = 3 m/s²
Frictional force (f) = 98 N
First, let's determine the net force required to overcome the friction:
Net force = Frictional force
= f
= 98 N
Next, let's calculate the applied force required to produce the desired acceleration:
F = m * a
F = 27 kg * 3 m/s²
F = 81 N
Therefore, the applied force required to produce an acceleration of 3 m/s² when the frictional force is known to be 98 N is 81 N.
To calculate the applied force required to produce the given acceleration, we need to 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.
The formula for Newton's second law is:
F = m * a
Where:
F is the force (unknown),
m is the mass of the crate (27 kg),
a is the acceleration (3 m/s^2).
Rearranging the formula to solve for the force (F), we have:
F = m * a
Plugging in the given values, we get:
F = 27 kg * 3 m/s^2
Now, we can calculate the force:
F = 81 kg * m/s^2
However, we also need to take into account the frictional force, which opposes the motion. The frictional force decreases the net force acting on the crate. Therefore, the applied force needed should overcome both the frictional force and provide the required acceleration.
The total force required can be calculated by adding the magnitude of the frictional force to the force calculated above.
Total force = Force + Frictional force
Total force = 81 kg * m/s^2 + 98 N
The total force required to produce the given acceleration is equal to 81 kg*m/s^2 + 98 N.