# Physics

posted by .

Two geekie physics students with a combined mass of 131 kg jump into their old car to run out for some late night pizza. The distance between the front and back axles of the car is 2.9 m. When they get in the car, the springs compress a total of 9.3 cm. On their way to the Pizza Hut, when they go over a bump, the car oscillates up and down with a period of 1.6 seconds.

(a) What is mass of the car?

Can you guys figure it out??
i got 2020.185 for K constant and then i used the formula m=kt^2/4pi^2 but that is wrong and it's giving me the same mass help or guide me please.

• Physics -

From the compression deltaX of the springs when they get in, you know that the spring constant of the suspension system is
k = F/deltaX = 131*g*/0.093 = 13800 N/m

The oscillation period is 2 pi sqrt [(M+m)/k] = 1.6
where M is the car weight and m is the additional weight of the passengers.

Solve for M+m and them subtract m

(M+m)/k = 6.48*10^-2 s^2

M+m = 895 kg
m = 764 kg

## Similar Questions

1. ### physics!

The mass of an automobile is 1160kg, and the distance between its front and rear axles is 2.54m. The center of gravity of the car is between the front and rear tires, and the horizontal distance between the center of gravity and the …
2. ### physics

several students are riding in bumper cars at an amusement park. the combined mass of a car A and its occupants is 250 kg. the combined mass of car B and its occupants is 200 kg. Car A is 15 m away from car B and moving to the right …

The CM of an empty 1170 kg car is 2.50 m behind the front of the car. How far from the front of the car will the CM be when two people sit in the front seat 2.8 m from the front of the car, and three people sit in the back seat 3.90 …
4. ### physics

The CM of an empty 1300 kg car is 2.40 m behind the front of the car. How far from the front of the car will the CM be when two people sit in the front seat 2.80 m from the front of the car, and three people sit in the back seat 3.80 …
5. ### physics

The CM of an empty 1300 kg car is 2.40 m behind the front of the car. How far from the front of the car will the CM be when two people sit in the front seat 2.80 m from the front of the car, and three people sit in the back seat 3.80 …
6. ### Physics

Two geekie physics students with a combined mass of 131 kg jump into their old car to run out for some late night pizza. The distance between the front and back axles of the car is 2.9 m. When they get in the car, the springs compress …
7. ### Physics

Two people with a combined mass of 135 kg hop into an old car with worn-out shock absorbers. This causes the springs to compress by 9.80 cm. When the car hits a bump in the road, it oscillates up and down with a period of 1.76 s. Find …
8. ### Physics

The car in front of you is driving 105 km/h on the highway. You pull out to pass the car travelling 114 km/h. Both cars are 2.7m long. You pull out when you are 10m behind the car in front of you and pull back in when you are 10m in …
9. ### Physics

The driver of a car on a horizontal road makes an emergency stop by applying the brakes so that all four wheels lock and skid along the road. The coefficient of kinetic friction between tires and road is 0.39. The separation between …
10. ### physics!

Late one night on a highway, a car speeds by you and fades into the distance. Under these conditions the pupils of your eyes have diameters of about 7.0 mm. The taillights of this car are separated by a distance of 1.2 m and emit red …

More Similar Questions