In,a,homecomming,competition,16,students,lift,a,sports,car.While,holding,the,car,off,the,ground,each,student,exerts,an,upward,force,of,400N.,(a)What,is,the,mass,of,the,car,in,kilograms?,(b)What,is,the,weight,in,pounds
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On earth g = 9.8 m/s^2
so on surface of earth mass in kg = weight in Newtons / 9.8
To find the mass of the car in kilograms, you can use the formula:
Mass (kg) = Force (N) / Acceleration due to gravity (m/s^2)
(a) In this case, the upward force exerted by each student is 400N. Since the car is being lifted off the ground, this upward force is equal to the weight of the car. Therefore, the total force exerted by all students combined is 16 students x 400N = 6400N.
The acceleration due to gravity on Earth is approximately 9.8 m/s^2. Therefore, the mass of the car can be calculated as follows:
Mass (kg) = 6400N / 9.8 m/s^2 = 653.06 kg (rounded to two decimal places)
(b) To find the weight of the car in pounds, you can use the formula:
Weight (lbs) = Mass (kg) x Acceleration due to gravity (m/s^2) / Acceleration due to gravity (ft/s^2)
The acceleration due to gravity in feet per second squared (ft/s^2) is approximately 32.2 ft/s^2. Therefore, the weight of the car in pounds can be calculated as follows:
Weight (lbs) = 653.06 kg x 9.8 m/s^2 / 32.2 ft/s^2 = 2005.45 lbs (rounded to two decimal places)