The graph below shows how the velocity of a car v, varies with time, t. v/ms 15 S 5 20 30 40 50 t/s Use the graph to calculate: a) the acceleration of the car between 40 and 50 seconds. b) the total distance travelled by the car during the 50 second journey.
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(where necessary assume g = 9.8m s-2.)
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- 4) under the the force is (b) 4 J (d) 8 J (a) 2J (c) 16 JCurrent Attempt in Progress A 49.4-g golf ball is driven from the tee with an initial speed of 56.1 m/s and rises to a height of 20.0 m. (a) Neglect air resistance and determine the kinetic energy of the ball at its highest point. (b) What is its speed when it is 8.14 m below its highest point? (a) Number i (b) Number i Units Units ◆(a) Calculate the force needed to bring a 850 kg car to rest from a speed of 90.0 km/h in a distance of 105 m (a fairly typical distance for a nonpanic stop).N(b) Suppose instead the car hits a concrete abutment at full speed and is brought to a stop in 2.00 m. Calculate the force exerted on the car and compare it with the force found in part (a), i.e. find the ratio of the force in part(b) to the force in part(a).(force in part (b) / force in part (a))
- 5. (A5-1) A water tank has the shape of an inverted square pyramid with a height of 15 m and a base side length of 21 m. It is currently filled with water to a height of 10 m, which as a density of 1000 kg/m³. Find the amount of work required to empty the tank by pumping all of the water to the top of the tank.With what initial speed must an object be projected vertically upward from the surface of Earth to rise to a maximum height equal to Earth’s radius? (Neglect air resistance.) Apply energy conservation.27.The potential energy function for either one of the two atoms in a diatomic molecule is often approximated by U (x)=-a/x¹² -b/x6 where x is the distance between the atoms. (a) At what distance of seperation does the potential energy have a local minimum (not at x = ¥)?(b) What is the force on an atom at this separation? (c) How does the force vary with the separation distance? Solution a. -2a b 1/6 ; b. 0; c. ~x6