5. The net force on a 3.7 kg RC airplane is 7.0 N. What is the acceleration of the airplane? m: a :

A ball with a mass of 1.50 kg rolls down a hemisphere from A to B. Se figure. At A, it has a centripetal acceleration with a magnitude of 1.80 m/s² and a speed of 1.20 m/s. At B, it has a centripetal acceleration with a magnitude of 5.50 m/s? and a normal force with a magnitude of 4.30 N. Find the magnitude of the normal force on the ball at A, and the angle 0. Ignore friction everywhere. VA = 1.20 m/s В VB = ? 0= ? R = ?

A woman pushes a 10.0 kg box across a horizontal floor with a constant force of magnitude 40.0 N directed at an angle of -25° with respect to the positive x-axis. The box moves horizontally to the right. At the origin (x=0) the box has an initial speed of 4.00 m/s and the woman pushes it to a location ofx=3.00 m. what is the force of the woman? what is the force of gravity? what is the normal force of the floor?

The system shown consists of 3 cables. For instance; cable C12 joins points 1 and 2. The coordinates of point 1 are (7.79, 0, 0) m, those of point 2 are (0, 7.58, 9.77) m, and those of point 3 are (0, 7.58, -9.77) m. The force P = 99 kN. Determine the force in cable C14.

V F Resolve the force F into components along the u and v axes, and determine the magnitudes of these components. Given that F = 35 N, a = 16° , and ß = 32°, the magnitude along u is (round to one decimal place) : N the magnitude along v is (round to one decimal place) : N

Students are performing an experiment with the setup shown above, where a block of mass M sits on a horizontal table. The coefficient of kinetic friction between the block and the table is μk. The block is connected to a hanging object over a pulley. The pulley has negligible mass and friction. The string connecting the two is very light and does not stretch. The students add mass to the hanging object so that its mass is m, where m < M, and the block-hanging object system is released from rest. The hanging object falls for a distance h, at which point it collides with the ground and comes to rest. The block on the table keeps sliding and travels a total distance d before coming to rest. It does not reach the pulley, and d > h. A student creates a data table (see image) for the net force exerted on the block during the speeding up and slowing down portions of the experiment. (d) Does the block of mass M spend more time speeding up or slowing down? Justify your answer.

In the figure, a cord runs around two massless, frictionless pulleys. A canister with mass m = 41 kg hangs from one pulley, and you exert a force F on the free end of the cord. (a) What must be the magnitude of F if you are to lift the canister at a constant speed? (b) To lift the canister by 3.5 cm, how far must you pull the free end of the cord? During that lift, what is the work done on the canister by (c) your force (via the cord) and (d) the gravitational force? (Hint: When a cord loops around a pulley as shown, it pulls on the pulley with a net force that is twice the tension in the cord.) (a) Number i Units (b) Number i Units (c) Number Units (d) Number i Units

There are two forces on the 2.26 kg box in the overhead view of the figure but only one is shown. For F₁ = 12.6 N, a = 11.5 m/s², and 0 = 24.4°, find the second force (a) in unit-vector notation and as (b) a magnitude and (c) a direction. (State the direction as a negative angle measured from the +x direction.) (a) Number i (b) Number i (c) Number i + i Units Units F x Ĵ Units î î

In (Figure 1), F = {500i - 300j +400k} N. Figure 6 2m 2 -1m D 6 m 3m 1 of 1 Part A Determine the magnitude of the projection of the force F acting along the cable C'A. Express your answer to three significant figures and include the appropriate units. FoncA= Submit Provide Feedback Di HÅ Value Request Answer F Units ?

You have landed a job in Disney’s Imagineering Department. (Congratulations!) There, you are part of a team that is building a new roller coaster. Several of your coworkers have submitted proposals. Now you have to sit down to select one design that will be prototyped and studied further. Today you are studying the first section of one of those designs. The car is to begin virtually at rest atop a hill. (The cars are just barely pulled over this initial hill.) From there, the car descends until it enters a vertical loop. Rather than a circular loop, this design has a teardrop, or clothoid, design. This shape can be thought of as a large radius circular arc at the bottom and a small radius arc at the top. (That is, the top and bottom can be thought of as portions with two different circular paths.) In this design, the bottom radius of curvature is 40m and the top is 20m. The top of the loop is 60m above the ground. There are a few safety considerations for the roller coaster: The…