A net force of 5000.0 N accelerates a car from rest to 93.3 km/h (meter per second) in 4.1s (a)what is the mass of the car? (b) What is the weight of the car?
F=MA----(1)
where F=force=5000N
M=mass of car
A=acceleration
1st)calculate acceleration.
A=speed/time-------(2)
(dont forget to convert speed into m/s)
2nd) replace A in (1), and solve for M :)
a. V = 93.3km/h = 93,300m/3600s = 25.92 m/s
a=(V-Vo)/t = (25.92-0)/4.1 = 6.32 m/s^2.
m = F/a = 5000/6.32 = 791.1 kg.
b. m*g = 791.1kg * 9.8N/kg = 7753 N. =
Wt. of car.
To calculate the mass of the car and its weight, we need to use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
(a) Let's calculate the mass of the car:
First, let's convert the given speed from km/h to m/s:
93.3 km/h = 93.3 * (1000 m / 3600 s) = 25.92 m/s (rounded to two decimal places)
Now, we can use the formula F = m * a to find the mass:
Force (F) = 5000.0 N
Acceleration (a) = change in velocity / time = (25.92 m/s - 0 m/s) / 4.1 s = 6.32 m/s^2 (rounded to two decimal places)
Rearranging the formula, we get:
mass (m) = F / a
Substituting the values:
mass (m) = 5000.0 N / 6.32 m/s^2 ≈ 791.14 kg (rounded to two decimal places)
Therefore, the mass of the car is approximately 791.14 kg.
(b) Now, let's calculate the weight of the car:
Weight is the force exerted on an object due to gravity. The weight can be found using the formula:
Weight = mass * acceleration due to gravity
The acceleration due to gravity on Earth is approximately 9.8 m/s^2.
Using the previously calculated mass of the car:
Weight = 791.14 kg * 9.8 m/s^2 = 7751.87 N (rounded to two decimal places)
Therefore, the weight of the car is approximately 7751.87 N.