a car weighing 14700N is moving at 20m/s. If the frictional force on it is 2160N , How fast would it be moving when it has travelled 50m
To determine how fast the car would be moving after traveling 50m, we can start by calculating the acceleration of the car using Newton's second law of motion:
Force = mass x acceleration
Given that the weight of the car is 14700N, we can convert it to mass using the formula:
Weight = mass x gravity
Rearranging the formula, we can solve for mass:
mass = Weight / gravity
Where gravity is approximately 9.8 m/s^2.
mass = 14700 N / 9.8 m/s^2
Now that we have the mass of the car, we can calculate the acceleration by rearranging Newton's second law:
acceleration = Force / mass
In this case, the force is the frictional force, given as 2160N.
acceleration = 2160 N / mass
Next, we can calculate the time it takes for the car to travel 50m using the kinematic equation:
distance = initial velocity x time + (1/2) x acceleration x time^2
Given that the initial velocity is 20 m/s, the distance is 50m, and the acceleration is obtained above, we can rearrange the equation to solve for time:
0 = (1/2) x acceleration x time^2 + initial velocity x time - distance
This equation is a quadratic equation, which can be solved using the quadratic formula:
time = (-b ± sqrt(b^2 - 4ac)) / 2a
Where a = (1/2) x acceleration, b = initial velocity, and c = -distance.
Solving for time will give us the time it takes for the car to travel 50m.
Finally, we can calculate the final velocity of the car using the formula:
final velocity = initial velocity + acceleration x time
Using the calculated acceleration and the time obtained above, we can find the final velocity of the car.