Suppose a rocket-propelled motorcycle is fired from rest horizontally across a canyon 1.00 km wide.(a) What minimum constant acceleration in the x-direction must be provided by the engines so the cycle crosses safely ifthe opposite side is 0.750 km lower than the starting point? (b) At what speed does the motorcycle land if it maintains thisconstant horizontal component of acceleration? Neglect air drag, but remember that gravity is .still acting in the negativey-direction

Suppose a rocket-propelled motorcycle is fired from rest horizontally across a canyon 1.00 km wide.(a) What minimum constant acceleration in the x-direction must be provided by the engines so the cycle crosses safely ifthe opposite side is 0.750 km lower than the starting point? (b) At what speed does the motorcycle land if it maintains thisconstant horizontal component of acceleration? Neglect air drag, but remember that gravity is .still acting in the negativey-direction

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

A steel wire connects two trains at rest on the same track. The wire will snapif it is stretched by as much as 1 percent. The trains begin to accelerate in such away that their velocities, as measured in the ground frame, are always equal.Eventually, the wire snaps. Explain carefully why this happens. How fast are thetrains moving when the wire snaps?
A team of jubliant engineering students, celebrating winning a designcompetition, fires their potato gun straight up into the air. (a) Assuming a quadratic airdrag on the potato with magnitude F (v) = mkv^2, and taking +y to be the upward direction,show that the potato speed varies with height above the ground according to the equations:
While driving along a highway at 80 km/h, a 15-m long truck driving at 60 km/h is exactly 10 m ahead ofyou. If your car is 5.0 m long, what acceleration is necessary if you wish to pass the truck in 3.0 s? With thisacceleration, what will your speed be just as the back end of your car passes the front end of the truck?
7. Assuming the there are no heat effect and no frictional effects, find the speed of a 3220 lb body in fpm after it falls 778 ft from rest. Start with the steady flow equation, deleting terms which are irrelevant.
An airplane heads due north with a velocity of 250 mi/hr. A west windis blowing with a velocity of 40 mi/hr. What is the velocity of the airplanerelative to the ground?
When rowing downstream consider the following scenario. The current of the water is moving at 2 m/s in the direction you are rowing. The coefficient of drag between your boat and the water is 1.2, the area in contact with the water is 0.1 m2 and the density of the water is 1000 kg/m3. You are moving at a velocity of 4 m/s into a head wind of 4 m/s. Your coefficient of drag between you and the air is 1.4, the area in contact with the air is 0.4 m2 and the density of the air is 1.2 kg/m3. Your goal is to create a net force moving downstream that is equal to 100 N. How much force must you exert with the oar and in what direction to achieve this net force downstream?
Assume that the Flettner rotor ship of Fig. has a waterresistance coefficient of 0.005. How fast will the shipsail in seawater at 20°C in a 20-ft/s wind if the keel alignsitself with the resultant force on the rotors? [Hint: This is aproblem in relative velocities.]
An airplane whose normal speed in still air is 260 mi/hr must traveldue east. (a) What course must the aviator set for the plane when there is asteady southwest wind of 40 mijhr? (b) How long will it take to travel 850 mi?
A nozzle is formed so that its cross sectional area converges linearly along its length. the inside diameters are 200mm and 100 mm at inlet and exit and the length of the nozzle is 1m.What is the convective acceleration at a section halfway along the length of the nozzle if the discharge is constant at 0.12 ?3/s.
Asubject of mass 65 kg has her gait analyzed. Suppose that the x componentof the force measured by a force plate takes the shape shown in Fig. (a) If the forward velocity of the walker is 2 m/s at heel strike, what is it0.4 s after heel strike?(b) Estimate the corresponding change in height for the subject’s center ofgravity (i.e., from heel strike to 0.4 s later).
A particle is projected from a horizontal plane and has an initial speed of 50m/s at an angle of 30 degrees above the horizontal. For how long is the particle at least 20 m above the level of the plane? Hint: You may use the formulas for the horizontal x(t) and vertical y(t) displacement of the particle: x(t) = ucos(α)t, y(t) - usin(α)t - ½gt2 , g = 10m/sec2.
Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. The wooden block (mass m = 0.5358 kg) is released from rest at A by a compressed spring (compressed length 0.6 m, undeformed length 1 m, spring constant k = 150 N/m). The block is allowed to slide through the rough horizontal surface (A to B), then along the smooth circular ramp (B to C, central angle θ = 47.2°, until the block is released after point C. Calculate the speed of the block at points B and C. Also, what is the magnitude of the normal force exerted to the block just before the block leaves the ramp? Neglect the geometry of the block. NOTE: Use Work-Energy Method to solve for the speeds; use Force-Mass-Acceleration (FMA) Method to compute for the normal force.