A 2.40 kg object is subjected to three forces that give it an acceleration a = (3.50 m/s?) i + (5.60 m/s2) 7. If two of the three forces are F1 = (36.0 N ) 7 + (12.0 N) 7 and F2 = (11.0 N) i + (7.30 N) 7, find (a) the x component and (b) the y component of the the third force. (a) Number i Units (b) Number Units Two horizontal forces F , and F 2 act on a 4.00 kg disk that slides over frictionless ice, on which an xy coordinate system is laid out. Force F, is in the positive x direction and has a magnitude of 7.70 N. Force F 2 has a magnitude of 9.10 N. The figure here gives the x component v, of the velocity of the disk as a function of time t during the sliding. What is the angle between the constant directions of forces F , and F 2? Vx (m/s) 4 2 t (s) 0 2 -2 Number i Unit A car traveling at 41 km/h hits a bridge abutment. A passenger in the car moves forward a distance of 54 cm (with respect to the road) while being brought to rest by an inflated air bag. What magnitude of force (assumed constant) acts on the passenger's upper torso, which has a mass of 48 kg? Number Units A car that weighs 1.30 * 10" N is initially moving at a speed of 43.0 km/h when the brakes are applied and the car is brought to a stop in 17.0 m. Assuming that the force that stops the car is constant, find (a) the magnitude of that force and (b) the time required for the change in speed. If the initial speed is doubled, and the car experiences the same force during the braking, by what factors are (c) the stopping distance and (d) the stopping time multiplied? (There could be a lesson here about the danger of driving at high speeds.) (a) Number Units (b) Number Units (c) Number Units (d) Number Units An electron with a speed of 1.10 x 10' m/s moves horizontally into a region where a constant vertical force of 3.20 x 10-16 N acts on it. The mass of the electron is 9.11 x 10-31 kg. Determine the vertical distance the electron is deflected during the time it has moved 31.0 mm horizontally. Number i Units