Some bags (the mass of each bag is 50 kg) are put in the truck of 200 kg mass. After applying 400 N force the car started moving with 1 m/s accelaration.Now my question is'', how many Bags are in the truck?
This we need to make two assumptions:
1. The car is on a perfectly horizontal plane/road
2. The car is in neutral AND friction is negligible.
Use Newton's second law: F=ma
F=400N
m=(200 + 50n ) kg
n=number of bags.
a=1 m/s^2 (acceleration is measured in m/s^2)
Set up equation and solve for n:
400=(200+50n)*1
Thanks "Math mate,"...
To find out how many bags are in the truck, we need to use Newton's second law of motion and the concept of net force.
Newton's second law states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. Mathematically, it can be represented as:
Force = mass x acceleration
In this case, the net force acting on the truck is given as 400 N, and the truck's mass is 200 kg. The acceleration is 1 m/s².
Using the formula, we can rearrange it to solve for the mass:
mass = Force / acceleration
Substituting the given values, we can calculate the mass of the truck:
mass = 400 N / 1 m/s²
mass = 400 kg
Now, to find the number of bags in the truck, we can subtract the mass of the truck from the total mass of the system (truck + bags). The mass of each bag is given as 50 kg.
Let's assume there are 'n' bags in the truck:
Total mass of truck + bags = mass of truck + (number of bags * mass per bag)
Total mass of system = 200 kg + (n * 50 kg)
We know that the total mass of the system is equal to the mass of the truck since the bags are placed in the truck:
Total mass of system = mass of truck
200 kg + (n * 50 kg) = 400 kg
Now, we can solve for 'n':
n * 50 kg = 400 kg - 200 kg
n * 50 kg = 200 kg
n = 200 kg / 50 kg
n = 4
Therefore, there are 4 bags in the truck.