A truck of mass 13,100 kg is acted upon by a driving force of 8900 N. The motion is opposed by a frictional force of 2230 N. Find the acceleration.
Force = mass x acceleration.
Really, you need the net force. If friction works in the opposite direction, you have a net force of 8900-2230.
Use that value in the equation for force and 13,100 kg for mass. You can then solve for acceleration in m/sec/sec also written as m/sec^2
To find the acceleration of the truck, we need to use Newton's second law of motion, which states:
Force = mass x acceleration
Given:
Mass of the truck (m) = 13,100 kg
Driving force (F1) = 8900 N
Frictional force (F2) = 2230 N
The driving force and the frictional force act in opposite directions, so we need to determine the net force acting on the truck.
Net force (Fnet) = F1 - F2
Substituting the given values:
Fnet = 8900 N - 2230 N
Fnet = 6670 N
To find the acceleration, rearrange the equation:
Fnet = m x a
a = Fnet / m
Substituting the values:
a = 6670 N / 13,100 kg
Using a calculator, we can calculate the acceleration:
a ≈ 0.509 m/s²
Therefore, the acceleration of the truck is approximately 0.509 m/s².
To find the acceleration of the truck, we can use Newton's second law of motion, which states that the acceleration is equal to the net force divided by the mass of the object.
1. Identify the given values:
Mass of the truck (m) = 13,100 kg
Driving force (F) = 8,900 N
Frictional force (Ff) = 2,230 N
2. Calculate the net force acting on the truck:
Net force (F_net) = Driving force - Frictional force
= 8,900 N - 2,230 N
= 6,670 N
3. Plug the values into the formula for acceleration:
Acceleration (a) = Net force / Mass
= 6,670 N / 13,100 kg
≈ 0.508 m/s²
Therefore, the acceleration of the truck is approximately 0.508 m/s².