11.112 A model rocket is launched from point A with an initial velocity vo of 75 m/s. If the rocket's descent parachute does not deploy and the rocket lands a distance d = 100 m from A, determine (a) the angle a that vo forms with the vertical, (b) the maximum height above point A reached by the rocket, (c) the duration of the flight. Fig. P11.112 400 ft
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- 1. A projectile is fired from the edge of a building 11.0 m tall. The projectile just clears a 20.0 m high wall some distance away with a velocity given by 0 = (13.07 – 7.507) m/s. (a) Find the angle above the horizontal at which the projective is fired. (b) Determine the horizontal distance between the building and the wall. (c) How much time elapses between the instant the projectile is fired and the time it hits the ground beyond the wall.A landscape architect is planning an artificial waterfall in a city park. Water flowing at 0.536 m/s will leave the end of a horizontal channel at the top of a vertical wall h = 2.40 m high and falls into a pool (see figure). (a) How far from the wall will the water land? m Will the space behind the waterfall be wide enough for a pedestrian walkway? (Assume the water must land 2 m from the wall to provide adequate space for a person to walk beneath the waterfall.) Yes No (b) To sell her plan to the city council, the architect wants to build a model to standard scale, one-fifteenth actual size. How fast should the water flow in the channel in the model? m/sA space shuttle lands on a distant planet where the gravitational acceleration is 2.0 ( We do not know thelocal units of length and time , but they are consistent throughout the problem). The shuttle coasts along aleve, frictionless plane with a speed of 6.0. It then coasts up a frictionless ramp of height 5.0 and angle 0f 30°.After a brief ballistic flight, it lands a distance S from the ramp. Solve for S in local units of length. Assume theshuttle is small compared to the local length unit and that all atmospheric effects are negligible. Use x and y components.
- A particle starts from the origin at t = 0 with a velocity of (16 - 12) m/s and moves in the xy plane with a constant acceleration of = (3.0 - 6.0) m/s2. What is the speed of the particle at t = 2s?Problem 4: Vector Addition. Vector A = 200 NZ45° counterclockwise from the z axis, and vector B = 300 N 270° counterclockwise from the y axis. Find the resultant R= A + B by addition of scalar components. Problem 5: Consider the picture below. Find the tension T, tension Ta tension T₂An object has an initial velocity of 29.0 m/s at 95.0° and an acceleration of 1.90 m/s2 at 200.0°. Assume that all angles are measured with respect to the positive x-axis. (a) Write the initial velocity vector and the acceleration vector in unit vector notation. (b) If the object maintains this acceleration for 12.0 seconds, determine the average velocity vector over the time interval. Express your answer in your unit vector notation.
- A rotating fan completes 1180 revolutions every minute. Consider the tip of a blade, at a radius of 20.0 cm. (a) Through what distance does the tip move in one revolution? What are (b) the tip's speed and (c) the magnitude of its acceleration? (d) What is the period of the motion? (a) Number i Units (b) Number i UnitsA skater with mass 66 kg is skating on a horizontal surface at a constant speed 4.2 m/s. There is a ramp ahead, and the skater has just enough speed to make it to the top of the ramp (meaning the speed at the top of the ramp is 0 m/s). What is the height of the ramp in the unit of meters? Use g = 10 m/s2 for the acceleration due to gravity.An object is hovering about the surface of the earth. It begins to experience a gravitational acceleration of 2.0 m/s2. How high is it above the surface of the earth?
- A record is played by spinning the record so that a circular groove in the vinyl slides under the stylus. Suppose that a record turns at a rate of 33 1/3 rev. min, the groove being played is at a radius of 10.0 cm and the bumps in the grove are uniformly separated by 1.75 mm. At what rate (hits per second) do the bumps hit the stylus? Enter units as hertz (Hz). You will need v=rω ω is in rad/s and 1rev = 2 pi rad..With w = 500 rad/s, for V = 10 - j 20, find v(4 ms) إختر أحد الخيارات V 2.4- .a V 6.13 .b V 19.8 - .C angle (-63°) V 22 .d × V 10.4 .eA snow-covered ski slope makes an angle of 0slone = 30.0° with the horizontal. When a ski jumper plummets onto the hill, a parcel of splashed snow is thrown up to a maximum displacement of 1.60 m at 0, = 18.0° from the vertical in the uphill snow direction as shown in the figure below. snow Oglope (a) Find the component of its maximum displacement parallel to the surface. m (b) Find the component of its maximum displacement perpendicular to the surface.