A mechanic jacks up a car to an angle of 10◦ with the horizontal in order to change the front tires. The car is 2.78 m long and has a mass of 1110 kg. Its center of mass is located 1.15 m from the front end. The rear wheels are 0.25 m from the back end.
around the back wheels. The acceleration of gravity is 9.81 m/s2 .
Answer in units of N · m

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To find the torque around the back wheels, we need to calculate the weight of the car and the lever arm distance.
1. Calculate the weight of the car:
The weight of an object is given by the formula: weight = mass * acceleration due to gravity.
Weight = mass * gravity = 1110 kg * 9.81 m/s^2.
2. Calculate the lever arm distance:
In this case, the lever arm distance is the horizontal distance between the center of mass and the back wheels. Given that the car is 2.78 m long and the center of mass is located 1.15 m from the front end, we can calculate the distance between the center of mass and the back end as follows:
Distance = total length of the car - distance of the center of mass from the front end
Distance = 2.78 m - 1.15 m.
3. Calculate the torque:
Torque is given by the formula: torque = force * lever arm distance.
In this case, the force is the weight of the car and the lever arm distance is the calculated distance in step 2.
Torque = weight of the car * distance.
Now we can plug in the values and calculate the torque:
Weight = 1110 kg * 9.81 m/s^2
Distance = (2.78 m - 1.15 m)
Torque = Weight * Distance
Finally, calculate the torque in units of N · m.