A toy car launcher is equipped with a spring. When fully compressed, the spring is 1.2 cm long. When fully released, the spring is 2.7 cm long and launches a 0.16-kg toy car at the speed of 1.4 m/s. You have a hard-drawn wire (A = 1783, m = 0.19) whose diameter d = 1.2 mm with which you can wind into a spring. Determine the spring design (D, C, N₁, p) for the toy car launcher. Use N, = 1.25, ε = 0.15.

A toy car launcher is equipped with a spring. When fully compressed, the spring is 1.2 cm long. When fully released, the spring is 2.7 cm long and launches a 0.16-kg toy car at the speed of 1.4 m/s. You have a hard-drawn wire (A = 1783, m = 0.19) whose diameter d = 1.2 mm with which you can wind into a spring. Determine the spring design (D, C, N₁, p) for the toy car launcher. Use N, = 1.25, ε = 0.15.

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

An automobile having a mass of 1000 kg is driven into a brick wall in a safety test. The bumper behaves like a spring with constant 4.45 x 10^6 N/m and is compressed 2.84 cm as the car is brought to rest. What was the speed of the car before impact, assuming no energy is lost in the collision with the wall?
In an oil pool, a small steel ball is released from the surface (y=0) without initial velocity. The strength of the resistance force exerted by the oil against the movement of the ball is directly proportional to the speed of the ball (Fd = k*V , k: constant). Neglect the buoyant force exerted by the oil. (m = 0.2kg, k = 0.843550 kg/s, g = 9.81 m/s^2). a-) What is the limit speed of ball ( Vlim)? b-) What is the time it takes for the speed of the ball to reach 99% of the limit speed after it is released from the surface? c-) What is the depth at which the ball's velocity reaches 99% of the limit velocity after it is released from the surface?
An Olympic lifter (m = 103kg) is holding a lift with a mass of 350 kg. The bar exerts a purely vertical force that is equally distributed between both hands. Each arm has a mass of 9 kg, are 0.8m long and form a 40° angle with the horizontal. The CoM for each arm is 0.5 m from hand. Assuming the lifter is facing us in the diagram below, his right deltoid inserts 14cm from the shoulder at an angle of 13° counter-clockwise from the humerus. Find the force right deltoid
A lightweight drone (1.00 kg) is launched at 800 m high and moves upward at a constant velocity (while ignoring the effects of gravity only on the drone). The balloon, when measured at a horizontal distance from you, is about 1600 m away from you. At the moment when the drone moves, you shoot a bullet (weight =180 g) with an initial velocity of 1009 m/s at a fixed angle α, where sin α=3/5 and cos α= 4/5. (g = 9.8 m/s2) c. What is the upward velocity of the drone?
To get up on the roof, a person (mass 72.0 kg) places a 6.80 m aluminum ladder (mass 13.0 kg) against the house on a concrete pad with the base of the ladder 2.00 m from the house. The top of the ladder rests against a plastic rain gutter, which we can assume to be frictionless. The center of mass of the ladder is 2.00 m from the base, as measured along the ladder. The person is standing on the ladder 3.00 m from the base, as measured along the ladder. Find the normal reaction and friction forces (in N) on the ladder at its base. (Enter the magnitudes.)
A block P of weight 50 N is kept on a plane and now pulled so that the extension in the spring is 10 cm. The stiffness of the spring is 4 N/cm and the coefficient of friction between the block and the plane is μ = 0.3. Find (i) the velocity of the block as the spring returns to its undeformed state and (ii) the maximum compression in the spring. ( By principle of conservation) ( answer= maximum compression is 2.5cm) ( explain with proper steps)
An arborist is cutting down a tree a 28 m high tree bystarting his cut 1.8 m above the ground. The tree has a mass of 3750 kg. The tree trunk can be thought of as a uniformly dense, thin rod. 1. What's the speed of the tree’s center of mass when the trunk is parallel to the ground on its way down. The tree rotates about the point where it is cut., 1.8 m above the ground. 2. What is the total amount of kinetic energy that the tree has at thatpoint of parallelism to the ground? How fast would a 950.0 kg truck have to be traveling to have the same kinetic energy as the tree?
ENGINEERING MECHANICS What action does an impulsecause? What path does a projectiletake? Whathappens to the acceleration if the mass is tripled and the force remains the same?
You pull on a string with a horizontal force of magnitude Fyb = 51 N that is attached to a block of mass mb = 6.3 kg, then to the axle of a solid cylinder of mass mc = 4.3 kg and radius r = 0.5 m, then to a spring of spring constant k = 190 N/m. This is all done on an inclined plane where there is friction ( μs = 0.6 and μk = 0.33 ), and the incline angle is θ = 25 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. What is the speed of the block and cylinder after you pulled the block 66 cm down the plane.
1. A downward force of 100 N is applied to the small piston with a diameter of 50 cm in the hydraulic lift system shown below.a. What is the upward force exerted by the large piston with a diameter of 2m?b. What is the mechanical advantage of this hydraulic lift?c. If the input force of 100N pushes the small piston down by 2m, how high will the large piston rise? 2. Water flows through a circular pipe with a constant radius of 10cm. The speed and pressure at point A is 4m/s and 250,000Pa respectively.a. What is the speed of the fluid at Point B? b. What is the pressure at point B which is 10m higher than point A?
(1)Discuss about different point between Linear impulse and Linear momentum plz!!!! (2)Discuss about differnet point between Complete plastic collision and Inclined central collision plz!!!
(a) A iron block with a mass of 6.9 kg initially slides over a rough horizontal surface with a speed of 9.0 m/s. Friction slows the block to rest. While slowing to rest, 85.0% of the kinetic energy of the block is absorbed by the block itself as internal energy. What is the temperature increase of the block? (Enter your answer in degrees Celsius.) ?°C (b) What happens to the remaining energy? It is absorbed by the horizontal surface on which the block slides. It vanishes from the universe. It becomes chemical energy. It is so minute that it doesn't factor into the equation.