In a performance test, each of two cars takes 8.6 s to accelerate from rest to 26 m/s. Car A has a mass of 1357 kg, and car B has a mass of 1950 kg. Find the net average force that acts on (a) car A and (b) car B during the test. (a) (b)
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- Let us make the (unrealistic) assumption that a boat of mass m gliding with initial velocity v0 in water is slowed by a viscous retarding force of magnitude bv2, where b is a constant, (a) Find and sketch v(t). How long does it take the boat to reach a speed of v0/l000? (b) Find x(t). How far does the boat travel in this time? Let m = 200 kg, v0 = 2 m/s, and b = 0.2 Nm-2s2.A force F applied to an object of mass m1 produces an acceleration of 3.00 m/s2. The same force applied to a second object of mass m2 produces an acceleration of 1.00 m/s2. (a) What is the value of the ratio m1/m2? (b) If m1 and m2 are combined into one object, find its acceleration under the action of the force F.A 3.00-kg object is moving in a plane, with its x and y coordinates given by x = 5t2 1 and y = 3t3 + 2, where x and y are in meters and t is in seconds. Find the magnitude of the net force acting on this object at t = 2.00 s.
- In a performance test, each of two cars takes 8.7 s to accelerate from rest to 27 m/s. Car A has a mass of 1442 kg, and car B has a mass of 1946 kg. Find the net average force that acts on (a) car A and (b) car B during the test. (a) F= (b) F= V i V iIn a performance test, each of two cars takes 9.6 s to accelerate from rest to 25 m/s. Car A has a mass of 1406 kg, and car B has a mass of 1910 kg. Find the net average force that acts on (a) car A and (b) car B during the test. (a) F (b) F= = iIn a performance test, each of two cars takes 9.0 s to accelerate from rest to 27 m/s. Car A has a mass of 1431 kg, and car B has a mass of 1868 kg. Find the net average force that acts on (a) car A and (b) car B during the test.
- A truck collides with a car, and during the collision, the net force on each vehicle is essentially the force exerted by the other. Suppose the mass of the car is 850 kg, the mass of the truck is 2,750 kg, and the magnitude of the truck's acceleration is 14 m/s2. Find the magnitude of the car's acceleration (in m/s2).A car traveling at 27.2 m/s hits a bridge abutment. A passenger in the car, who has a mass of 65.0 kg, moves forward a distance of 57.0 cm while being brought to rest by an inflated air bag. Assuming that the force that stops the passenger is constant, what is the magnitude F of this force?An object of mass 0.69 kg is initially at rest. When a force acts on it for 2.9 ms it acquires a speed of 13.4 m/s. Find the magnitude (in N) of the average force acting on the object during the 2.9 ms time interval. (Enter a number.) Answer = ??? N
- In the amusement park ride known as Magic Mountain Superman, powerful magnets accelerate a car and its riders from rest to 38.6 m/s in a time of 6.34 s. The mass of the car and riders is 7.78 × 10³ kg. Find the average net force exerted on the car and riders by the magnets. Number UnitsAn object of mass 0.85 kg is initially at rest. When a force acts on it for 2.9 ms it acquires a speed of 10.6 m/s. Find the magnitude (in N) of the average force acting on the object during the 2.9 ms time interval. (Enter a number.)Two people are pushing a truck across a parking lot. The truck has a mass of about 2 × 103 kg. First, they take turns pushing. When Person A pushes the truck, the truck accelerates at a rate of 1 m/s2. When Person B pushes the truck, it accelerates at a rate of 2 m/s?. (a) Both people stand behind the truck and push in the same direction. What is the net force on the truck? At what rate will the truck accelerate? (b) Person A stands at the back of the truck and Person B stands at the front, and they push in opposite directions. What is the net force on the truck? At what rate will the truck accelerate? In what direction? For both (a) and (b), draw a picture indicating the forces applied by A and B as well as the motion of the truck.