Suppose that in the figure, the masses of the blocks are 2.0 kg and 4.0 kg.
(a) Which mass should the hanging block have if the magnitude of the acceleration is to be as large as possible?
(b) What then are the magnitude of the acceleration and
(c) the tension in the cord?
A block of mass m1 = 3.70 kg on a frictionless plane inclined at angle θ = 30.0° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.30 kg (Fig. 5-52). Find
(a) the magnitude of the acceleration of each block,
(b) the direction of the acceleration of the hanging block,
(c) the tension in the cord.
A sphere of mass 3.0×10-4 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the
cord makes a constant angle of 37° with the vertical. Find
(a) the push magnitude and
(b) the tension in the cord.
If a baseball pitcher throws a fastball at a horizontal speed of 160km/h, how long does the ball take to reach home plate 18.4m away?
A stone is thrown vertically upward. On its way up it passes point A with speed v, and point B, 3.00 m higher than A, with speed ½v. Calculate
(a) the speed v and
(b) the maximum height reached by the stone above point B.
A motorcyclist who is moving along an x axis directed toward the east has an acceleration given by a = (6.1 − 1.2t) m/s2 for 0 ≤ t ≤ 6.0 s. At t = 0, the velocity and position of the cyclist are 2.7 m/s and 7.3 m.
(a) What is the maximum speed achieved by the cyclist?
(b) What total distance does the cyclist travel between t = 0 and 6.0 s?
A stone is dropped into a river from a bridge 43.9m above the water. Another stone is thrown vertically down 1.00s after the first is dropped. The stones strike the water at the same time.
What is the initial speed of the second stone?
A key falls from a bridge that is 45m above the water. It falls directly into a model boat, moving with constant velocity, that is 12m from the point of impact when the key is released. What is the speed of the boat?