Assume that a skater of mass m, moving at a constant speed Vo, suddenly stands stiffly with skates pointed directly forward and allows herself to coast to a stop. Neglecting air resistance, how far will she travel (on two blades) before she stops? Give the answer X as a function of (Vo, m, L, h, H. M.

Assume that a skater of mass m, moving at a constant speed Vo, suddenly stands stiffly with skates pointed directly forward and allows herself to coast to a stop. Neglecting air resistance, how far will she travel (on two blades) before she stops? Give the answer X as a function of (Vo, m, L, h, H. M.

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 jogger with mass m = 55 kg uses energy at a rate of P = 802 W when she jogs on horizontal ground at a constant speed of s = 3.5 m/s. The efficiency of her “human engine” however, is e = 0.27. (In other words, the power used for locomotion is e = 0.27 times the total power.) Q) Write an expression for the rate of energy expenditure whenshe jogs at the same constant speed up a slope of 4.99 degrees. Assume whatever frictional or drag forces are the same in each case. Your answer should be in terms of the symbols given in the problem statement and g(9.80 m/s^2)
A gun is fired straight up. Assuming that the air drag on the bullet varies quadratically with speed, show that the speed varies with height according to the equations = Aea - (upward motton) o =- Be (downward motion) in which A and B are constants of integration, g is the acceleration of gravity, and k = cgm where c, is the drag constant and m is the mass of the bullet (Note: x is measured positive upward, and the gravitational force is assumed to be constant.)
Ricky, an aeronautical engineering student climbs at the rooftop of a building. He is carrying an airplane model for a drop test. Ricky is overconfident with his design, had thrown his airplane model upward with an initial velocity 20 m/s and the air resistance is equal to 30 directed opposite the velocity, where the velocity is measured in m/s. Given the height of the building to be 30 m and the mass of the airplane model to be 0.15 kg. A. Find the time that the airplane model reaches its maximum height. t = | Select ] B. Find the maximum height above the ground that the ball reaches. h = [ Select )
A helicopter with a mass of 10,000 kg takes off straight up at t=0. The thrust of the engine is defined given as a function of time: FT= 95 0.18t- (kN). Where t is in units of seconds. How fast is it rising and what is its elevation at t=4s?
A happy kangaroo leaps vertically upward at a time t = 0. At time t = 0.50 s the kangaroo is at a height of 2.0 meters above the ground. What is the speed and direction of motion of the kangaroo at this time (at t = 0.50 s)? Neglect air friction. 4.9 m/s downward 1.55 m/s upward O none of these 2.45 m/s downward 4.9 m/s upward 2.45 m/s upward
) A particle with 2 kg mass, slides down a frictionless sphere with a radius of 1m, starting from rest(with negligible initial speed) at the top. Through what vertical distance y does the particle move beforeit loses contact with the sphere?
1) We would like to design a wagon system as below when filling coal into the furnace at the Coke factory inside Kardemir. In this system, we want the wagon to reach a speed of v= 2 m/s in t=4 seconds. It will then shoot at constant speed. How much engine power is required to tow a wagon with W= 390 kgf under these conditions P=? (Losses will be ignored). (The slope angle of the ramp is α= 11 degrees.)
A lightweight drone (1.00 kg) is launched at 800 m high and moves upward at a constant velocity (whileignoring the effects of gravity only on the drone). The balloon, when measured at a horizontal distance fromyou, is about 1600 m away from you. At the moment when the drone moves, you shoot a bullet (weight =180g) 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) d. Provided that the collision is inelastic, calculate the speed after the collision.e. Calculate the height the two objects taken from the impact up to the maximum height before it startsfalling to the ground.
There are two bodies which moving towards each other. They collide and stay connected. The presses the spring afterwards. Calculate the spring compression x. Result write in meters. Bodies are assumed as mass points and there is no friction. Bodies remains connected (into one body) after the collision. • m,u4kg • V,=16m/s • m3=Bkg • vz-34m/s • k-3,2kN/m • x+?m; Result needs to be with 3 digits precision k m, m, x=? Answer: 5.657
A motorboat and its load weigh 980 kg. Assume that the propeller force is constant and equal to 24 kg, and the water resistance is equal numerically to 1.5v kg where v is the speed at any instant in m/sec. If the boat starts from rest, then what is the distance travelled by the motorboat at the end of 15 seconds? 20 meters 25 meters 15.72 meters 11.42 meters
A particle is thrown with speed vo from the bottom of an inclined plane that makes an angle with the horizontal. The particle experiences a frictional force and a linear air resistance such that its equation of motion is d²s ds dt dtugsin(0) Here s is distance from the bottom of the plane, p is the air resistance constant, g is the gravitational acceleration and is the coefficient of friction. Determine the maximum vertical height from the horizontal reached by the particle.
A 2500 Ib car traveling 60 mph (88 ft/s) impacts a highway crash barrier as shown below. If the barrier were designed to exert the following force over the 40 ft distance of the barrier, how far would you expect the car to travel after impacting the barrier? 20 ft 40 ft 20,000 lbs Force (Ibs) 10,000 lbs Distance (ft)