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Consider the crates in the figure where m1 = 45 kg and m2 = 12 kg. Assume that there is no friction between m1 and the table.
(a) Make a sketch showing all the forces on the crates. Include a coordinate system.
(b) Determine the components of the forces along the coordinate axes.
(c) Write Newton's second law for motion along both coordinate directions.
(d) Solve the equations from part (c) to find the acceleration of the crates and the tension in the string.
A hotel elevator ascends 110 {rm m} with a maximum speed of 4 {rm m/s}. Its acceleration and deceleration both have a magnitude of 1.20 {rm m/s^2}.
A speedboat starts from rest and accelerates at +2.32 m/s2 for 6.78 s. At the end of this time, the boat continues for the additional 5.34 s with an acceleration of +0.677 m/s2. Following this, the boat accelerates at -0.686 m/s2 for 8.68 s.
Two charges q1 = 7 µC, q2 = -33 µC, are L = 14 cm apart. A third charge is to be placed on the line between the two charges. How far from q1 should the third charge be placed so that the net electric force on the third charge is minimized?
What are the rocket's horizontal range, greatest height, and total time of flight. The magnitude of the torque of this force on the door with respect to the hinge is most nearly .
A tank is in the shape of an inverted cone, having height h = 2.50 m and base radius r = 0.750 m. If water is poured into the tank at a rate of 15 L/s, how long would it take to fill the tank.
An electron with the initial speed of 4.00×10^5 is brought to rest by an electric field. What was the initial kinetic energy of electron, in electron volts.
evaluate what value of the distance d should a driver locate his car if he wishes to stay on a circular path without depending on friction?
A 38.8-cm diameter disk rotates with a constant angular acceleration of 2.60 rad/s2. It starts from rest at t = 0, and the line drawn from the center of the disk to the point P on the rim of the disk makes an angle of 57.3° with the positive x-axis a..
A magnifying glass has a converging lens of focal length of 18.80cm. At what distance from a nickel must you hold this lens to get an image with a magnification of +2.47.
Suppose the mica is 1.5 thick (and therefore fills the space between the plates).The charges on the plates are equal and opposite and of magnitude 380.
Two balls, of masses = 49 and = 67 , are suspended as shown in the figure. The lighter ball is pulled away to a 66 angle with the vertical and released. suppose that positive axis is directed to the right. What is the velocity of the lighter ball ..
A jetliner is moving at a speed of 258 m/s. The vertical component of the plane's velocity is 85.8 m/s. find the magnitude of the horizontal component of the plane's velocity.
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