A car weighing 24,500 Newtons is traveling east and travels a distance of 100 meters in 20 seconds. What is the car's mass? What is the car's kinetic energy?
m*g = 24,500 N.
m = 24500/g = 24500/9.8 = 2500 kg
Ek=0.5m*V^2 = 1250*(100/20)^2=31,250 J.
To find the car's mass, we can use Newton's second law of motion, which states that force equals mass times acceleration (F = m * a).
In this case, the force acting on the car is its weight, which is given as 24,500 Newtons. The acceleration can be found using the formula distance divided by time, as acceleration is the rate at which velocity changes.
So, acceleration (a) = distance (d) / time (t) = 100 meters / 20 seconds = 5 meters per second squared.
Now, we can rearrange the equation F = m * a to solve for mass (m):
m = F / a = 24,500 N / 5 m/s² = 4,900 kg.
Therefore, the car's mass is 4,900 kg.
Next, to determine the car's kinetic energy, we can use the formula for kinetic energy, which is given by KE = 0.5 * m * v^2.
Here, m is the mass (which we just calculated as 4,900 kg), and v is the velocity of the car. Velocity can be found by dividing the distance traveled by the time taken:
v = d / t = 100 meters / 20 seconds = 5 meters per second.
Plugging in these values:
KE = 0.5 * 4,900 kg * (5 m/s)^2 = 0.5 * 4,900 kg * 25 m² / s² = 306,250 Joules.
Therefore, the car's kinetic energy is 306,250 Joules.