A truck with a mass of 14,0 00 kg is pushed with a force of 9200 N. If the frictional force is 2150 N what is the truck’s acceleration?
net force=ma
9200-2150=mass*a
solve for a
would I need to convert the mass to another unit? and do I divide 7050 by the mass 14,000?
To find the truck's acceleration, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.
First, let's identify the relevant forces acting on the truck:
1. Applied force: The force with which the truck is pushed, which is 9200 N (given).
2. Frictional force: The force opposing the motion of the truck, which is 2150 N (given).
Now, let's calculate the net force:
Net force = Applied force - Frictional force
= 9200 N - 2150 N
= 7050 N
Since we know the mass of the truck is 14,000 kg (given), we can use the formula:
Net force = Mass × Acceleration
Plugging in the values, we have:
7050 N = 14,000 kg × Acceleration
Now, let's solve for acceleration:
Acceleration = Net force / Mass
= 7050 N / 14,000 kg
≈ 0.5036 m/s²
Therefore, the truck's acceleration is approximately 0.5036 m/s².