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1. A rock is thrown horizontally with a speed of 16 m/s from a vertical cliff of height 32 m.
(a) How long does it take to reach the horizontal ground below?
(b) How far will it land from the base of the cliff?
(c) What is the velocity (magnitude and direction counterclockwise from the +x-axis, which is the initial horizontal direction in which the rock was thrown) of the rock just before it hits the ground?
2. A soccer ball is kicked with an initial speed of 25 m/s at an angle of 24° with respect to the horizontal
(a) Find the maximum height reached by the ball.
(b) Find the speed of the ball when it is at the highest point on its trajectory.
(c) Where does the ball land? That is, what is the range of the ball?
Illustrate what other types of sensors could you deploy throughout the cafe to help operations? Illustrate what concerns would you have regarding these sensors?
A loudspeaker of mass 25 {rm kg} is suspended a distance of h = 1.60 {rm m} below the ceiling by two cables that make equivalent angles with the ceiling. Each cable has a length of l = 3.50 {rm m}.
The leg and cast weigh 290 -N, with the center of mass as indicated by the blue arrow in the diagram. The counterbalance w2 weighs 120 N. Determine the weight w1 and angle α needed in order that there is no force exerted on the hip joint by the le..
W hat least energy an incident alpha particle must have to penetrate the gold nucleus. What is the direction of the carbon atom after the collision.
A gry is an old English measure for length, defined as 1/10 of a line, where line is another old English measure for length, defined as 1/12 inch. A common measure for length in publishing business is a point, defined as 1/72 inch. What is an area..
A block of mass 2.0 kg is pushed against a vertical wall by a horizontal push (P) of 50.0 N. The block does NOT move. Assuming that the coefficient of the static friction, k, is equal to 0.60. Find the force AND the direction of the friction.
how long does the block remain in contact.
A 155 g copper bowl contains 245 g of water, both at 20°C. A very hot 300 g copper cylinder is dropped into the water, causing the water to boil, with 5 g being converted to steam. The final temperature of the system is 100°C. Neglect energy trans..
In a vacuum a proton (charge =1.60 E-19 C, mass = 1.67×10-27 kg) is moving parallel to a uniform electric field that is directed along the +x axis, Determine the acceleration of the proton
At what distance along the central axis of a ring of radius R = 0.100 m and uniform charge is the magnitude of the electric field due to the ring's charge maximum
An airplanes airspeed (relative to still air) is 135 mph. The wind speed relative to the ground is 37 mph and is directed at theta = 51 deg
During a violent storm, a car is struck by a failing high-voltage wire that puts an excess charge of -850 mircoC on the metal car. a) how much of this charge is on the inner surface of the car? b) how much is on the outer surface of the car?
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