a

Problem A) A 3.0 kg object has two forces acting on it. Force F = (18å + 103)N while F2 is unknown. The velocity at t = 6 seconds is v = (12å + 243)m/s. If the object was initially at rest, determine F, and its displacement at t = 6 s in unit vector notation. Assume that these are the only two forces acting on the object.

answer b please

For the conical pendulum shown below, the bob moves in a horizontalcircle of radius 0.1 m, at a constant speed v. The mass of the bob is 81 g. The cord sweeps a cone that makes an angle 31.5 o with respect to the vertical. The x and y axes are shown in the figure with positive x pointing towards the center of the circle and positive y pointing upwards. c) Calculate the tension T in the string. d) Calculate the speed v of the bob.

In a TV commercial pickup truck B of mass mB lifts large crate A of mass mA toawrd the top of a cliff by means of a cable and a frictionless pulley. The truck uses constant thrust force F to do the job and accerates forward starting from rest, There are no friction forces except the thrust force F.  a) Determine a symbolic formula for the magnitude of the acceration experienced by the crate. The final formula should not include the unknown tension force.  b) explain whether the cable tension must be greater than, equal to, or less than the crate weight.  c) for mass mA= 1500 kg, mb=2800 kg, and F=18,000N, how far will the crate rise in the first 3.5 s of motion?

Useful Equations and Constants: mv? 4nmr Fnet= ma FF µFN F= mg F. = r = 47mrf Acceleration due to gravity on Earth: 9.80 m/s? Two blocks (m1=4.00 kg and m2-9.00 kg) are connected over a frictionless pulley by a string as shown below. The blocks sliding such that m2 is accelerating DOWN the ramp. The ramp is inclined at an angle of 35.0 ° to the horizontal as shown. The coefficient of friction between block m1 and the horizontal surface is 0.300. The inclined ramp is frictionless. Find: a) The force of kinetic friction acting on block 1. b) The acceleration of the system of blocks. c) The tension in the string. + 1 mark sig digs Include appropriate FBD diagrams in your solution.

answer c please

On 24 November 2021 the DART (Double Asteroid Redirection Test) spacecraft was launched. Its mission is to assess the ability of an impact to deflect the path of an asteroid. DART was launched on a Falcon 9 rocket. At launch a Falcon rocket has a mass of 555 000 kg and generates a force of 7.6 x 106 N. A. Neglecting the effect of gravity, what is the initial acceleration of the rocket? Give your answer to an appropriate number of significant figures. B. Assuming that the initial acceleration remains constant, how fast will the rocket be moving after 2 seconds? C. In practice, as the rocket burns fuel, its mass decreases. Assuming the thrust remains the same, how would your answer to part (ii) change? Would the speed after 2 seconds be lower, the same or higher?

Box B is pushed with a force 462 N [>] parallel to the ramp. Box A has a mass of 32.0 kg and Box B has a mass of 26.0 kg. The coefficient of kenetic friction is 0.22 between the boxes and the ramp. The angle of incline is 25°. A rod connects the boxes together. a. Draw a FBD for each mass and the total system. b. Calculate the acceleration of the boxes and the force on the rod mB FA 25°

Two objects are connected to a pulley and a rope as shown below. Object A has a mass of 2 kg and Object B has a mass of 4 kg. The coefficient of dynamic friction between object A and the horizontal plane is 0.28. Find the downward displacement of object B until object A starts at rest and the velocity reaches 4 m/s. (Ignore the friction between the pulley and the rope.) A 13