3.) A 5kg cannonball was dropped (from rest) from a height of 10m above the ground. What is the velocity ofthe dumbbell as it hits the ground? Here, we assume that there is no air resistance.*Hint: You can set the ground level to be y = 0.Law of Conservation of Mechanical Energy: "The initial mechanical energy is equivalent to the finalmechanical energy i.e., the mechanical energy is constant in the absence of any dissipative force such asfriction or air resistance."1mgy; + mv? = mgy, + mvž1mechanical energy = potential energy + kinetic energy = mgy + mv2mg = magnitude of acceleration due to gravity = 9.81-s2Yi = initial heightYf = final height

Name: 3.) A 5kg cannonball was dropped (from rest) from a height of 10m abo
Uploaded: 2024-03-20T06:56:55.000Z
Channel: Bartleby
Description: 3.) A 5kg cannonball was dropped (from rest) from a height of 10m above the ground. What is the velocity ofthe dumbbell as it hits the ground? Here, we assume that there is no air resistance.*Hint: You can set the ground level to be y = 0.Law of Con

Engineering

Mechanical Engineering

A Skg cannonball was dropped (from rest) fr ne dumbbell as it hits the ground? Here, we Hint: You can set the ground level to be y = aw of Conservation of Mechanical Energy: nechanical energy i.e., the mechanical ene riction or air resistance." mgy + mechanical enermr

A Skg cannonball was dropped (from rest) fr ne dumbbell as it hits the ground? Here, we Hint: You can set the ground level to be y = aw of Conservation of Mechanical Energy: nechanical energy i.e., the mechanical ene riction or air resistance." mgy + mechanical enermr

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

engineering dynamics 1. A car moving at 70 km/hr has a mass of 1700 kg. What force is necessary to decelerate it at a rate of 50 cm/s^2? 2. An elevator weighing 3,000 lb attains an upward velocity of 20 fps in 4 seconds with uniform acceleration. What is the tension in the supporting cables?
A closed thermodynamic system consists of a fixed amount of substance (i.e. mass) in which no substance can flow across the boundary, but energy can. For a closed themodynamic system we cannot add energy to the system, via substance (E ) (1.e. matter which contains energy is not allowed across the boundary) Across the Boundaries E° = No Q = = Yes W mass NO CLOSED = Yes SY STEM m = constant | energy YES Figure 1.1. If the substance inside the thermodynamic system shown in figure 1.1. (i.e. piston cylinder device) is air, is the system a Fixed closed system Moveable closed system A. В.
5. An elevator is accelerating downward at (where g = 9.81 in m/s³ ) when suddenly an object drops from its ceiling. If the distance between the floor and the ceiling of the elevator is d (in meters), how long will it take the object to hit the floor of the elevator? 7d A) t= | 2g 7d B) t= 3g 10d 3g C) t= 5d D) t= 2g boln
Three identical balls are tied by light strings to the same vertical light rod and rotate around it with the same angular velocity, as shown below. a) What is the ratio of the rotational kinetic energy of the first ball to the rotational kinetic energy of the second ball, to the rotational kinetic energy of the third ball? Demonstrate the answer in a form of KE1 : KE2 :KE3 b) Imagine, during the rotation, the second string broke and second ball got removed from the system. If the masses of the balls are 100g each and initial angular velocity (before string broke) was 10 rpm, what is the new angular velocity, when only first and third balls remain rotating? c) Where is the center of mass of this system is located? 1 m ball 1 2 m ball 2 3 m ball 3
Using Newton's second law, the movement of a body in a viscous fluid can be modeled. For this case it will be a one-dimensional movement. ec.1) F -FR = ma F: Force applied to the body. FR: Resistance that opposes the fluid to the movement. m: body mass a: body acceleration For a sphere with initial radius R0 = 1 meter and density 8960 kg/m^3 to which a constant force of 3 Kilo Newtons is applied, it is requested: Using Euler's method, find the velocity as a function of time for the first 5 seconds of movement, considering that v(0) = 10 m/s. Use a 1 second step. For this case use: ec.2) FR = 210Rv R: Radius of the sphere. v: velocity Where, in addition, the sphere disintegrates as time passes in this fluid, so its radius is given by the following function: ec.3) R = R0*e^(-t/250)
A cart weighing 0.5 kg is drawn up a smooth 45° incline by a motor, M, winding up a cable. The force in the cable can be expressed as 5t² N, where t is in seconds. When t = 0, the displacement s = 0 and the initial velocity is 3 m/s. Find the cart's velocity when t = 2 seconds. > Draw a very clear FBD of the cart that you can use to write the equations of motion > Write the equations governing the cart's motion along the incline. Use axes parallel and perpendicular to the incline. Find the velocity requested
Five objects in a region where the acceleration due to gravity is 30.2 ft/s2 are as follows: x1 = 450 g of mass x2 = weighs 960gf x3 = weighs 15 poundals x4 = weighs 21bf x5 = 0.20 slug of mass. What is (a) the total mass expressed in gm? (b) the total weight expressed in kgf.
2. Some equations for power that occur frequently in mechanical engineering are Pow = Fv and Pow = Tw Also, recall that 1 Hp = 550ft. Here are some elementary problems to help you improve your facility with units. (a) A model airplane flies at 45 mi/hr in level flight against a drag force of 2.5 lbf. How much power is required to maintain the plane in flight? Express your answer in Hp. (b) A power screw requires a torque of 5 N m to turn at 300 rpm. How much power is required? Express your answer in the appropriate SI derived unit. (c) A generator spins at 3600 rpm. Convert that rotational speed to units of rad/s. (d) A generator spins at 3600 rpm. Convert that rotational speed to units of rev/s. (e) A generator spins at 3600 rpm with a torque of 200 N m. In SI units what is the power? (f) An automobile engine produces 94 kW at 6300 rpm. In SI units, what is the torque? (g) An automobile engine produces 221 lb ft of torque at 1800 rpm. In Hp, how much power does this engine produce?
Newton's second law of motion leads to: the rate of change of linear momentum is equal to the applied moment the rate of change of linear momentum is equal to the applied force the rate of change of angular momentum is equal to the applied force the mass times acceleration of a particle is equal to the applied force
1) A small steel block and a magnet rest on a horizontal frictionless table. The steel block weighs 0.07N and the magnet is fixed to the table. The force acting on the steel block by the magnet is inversely proportional to the square of the distance between the steel block and the magnet. When the block is 26cm away from the magnet, the force becomes 0.145N. If the block starts its motion from rest at this position, what is the magnitude of the velocity of the block when it is 9.5cm away from the magnet?
2.3.16. [Level 21 A Republic laser weapon targets a Trade Federation battleship fleeing to space at a constant velocity of v = 25j m/s. If the length of the laser beam and its orientation with respect to the ground are described by r and 0, respectively, find what r, ř, ï, è, and 0 are when 0 = 50°. The horizontal distance between the laser weapon and battleship is 300 m. 6. 233j L. d --p- E2.3.16
A pendulum in your house swings from one side to the other in a span of 0.8 seconds. How long is the string that is attached to the mass?