1. A skier of mass 42.1 kg starts at the top of a hill with a speed of 5.30 m/s. The hill is angled at 27.20 and is 11.2 m high. The skis have jets that do 575 J of work. The coefficient of kinetic friction between the skis and the snow is 0.100. When the skier gets to the bottom of the hill, the skier slides on horizontal ground that is frictionless. A spring with a spring constant of 145 N/m is 1.0 m from the bottom of the hill to stop the skier. A) How fast is skier moving at the bottom of the hill? B) How far is the spring compressed to stop the skier?

1. A skier of mass 42.1 kg starts at the top of a hill with a speed of 5.30 m/s. The hill is angled at 27.20 and is 11.2 m high. The skis have jets that do 575 J of work. The coefficient of kinetic friction between the skis and the snow is 0.100. When the skier gets to the bottom of the hill, the skier slides on horizontal ground that is frictionless. A spring with a spring constant of 145 N/m is 1.0 m from the bottom of the hill to stop the skier. A) How fast is skier moving at the bottom of the hill? B) How far is the spring compressed to stop the skier?

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 block of mass 10 kg rests on a horizontal floor. The acceleration due to gravity is 9.81 m/s2. The coefficient of static friction between the floor and the block is 0.2. A horizontal force of 10 N is applied on the block as shown in the figure. The magnitude of force of friction (in N) on the block is 10 N 10 kg
3. Two blocks, masses m₁ and m2, on a horizontal, frictionless surface are being pulled by a massless, unstretchable rope that goes over a frictionless pulley and is connected to a block of mass m3. Assumer two blocks move together. The coefficient of friction between block 1 and block 2 is . Find the force that block 2 exerts on block 1. 2 [ Free Body Diagrams and Law or Definitio. 3
A towing machine can deliver horizontal towing force T by a strong, inclastic cable. The towing force T can vary as shown in the graph. A 490 kg timber, initially at rest, is attached to the towing machine. The static friction coefficient between the timber and the surface is Hk = 0.49, and the towing machine must overcome the minimum force needed to move the timber against the static friction. If the kinetic friction coefficient between the timber and the surface is µg = 0.39, determine the velocity of the timber at t= 6.5 seconds. M T (N) 2000 T=125 (s)
33. A 200kg box is laid down to a rough flat surface whose coefficient of friction is 0.39. Determine the horizontal force needed to accelerate the box at the surface at the rate of 2.5m/s?. a. 1.2610KN b. 1.1463KN c. 1.2652KN d. 1.2052KN
Q1) A 5 kg block initially at rest is pulled to the right along a horizontal surface by a constant horizontal force of 12 N. (A) Find the speed of the block after it has moved 4 mif the surfaces in contact have a cocfficient of kinctic friction of 0.15 as shown in Figure (a). (B) Suppose the force F is applied at an angle 6 as shown in Figure (b). At what angle should the force be applied to achieve the largest possible kinetic energy? (a) (b)
4) This Atwood's machine includes two blocks connected by a cable, going over a pulley without slipping. Block 1 (30.0 kg) is connected to a spring (70.0 N/m), and slides on a horizontal surface with a coefficient of kinetic friction of 0.0100. Block 2 is 50.0 kg, and hangs vertically from the cable. The pulley is a disk with a radius of 0.500 m, and its moment of inertia about the center of mass is 10. 0 kg-m“. a) Draw the three free body diagrams, and write out Newton's 2nd Law for each. b) Derive the equation of motion (inhomogeneous 2nd order ODE) for this system. c) Use u-substitution to rewrite this as a homogeneous 2nd order ODE. d) Assume the position x as a function of time t is of the form x(t) = A cos (wt + p) I disk for undamped natural frequency w, phase angle P, and amplitude A. The initial conditions are: x(0) v(0) = -3. 00 m/s. Solve for the position of the mass as a function of time (you need to solve for w, 4, and A). = 2. 00 m and Mz
7. Two carts with masses of 4.0 kg and 3.3 kg move toward each other on a frictionless track with speeds of 5.9 m/s and 4.6 m/s, respectively. The carts stick together after colliding head-on. Find their final speed.
A 2-kg block travels from the top of a plane inclined 25° with the horizontal compressing a spring at the bottom of the incline with an initial speed of 0.65 m/s. Due to the motion of the block, the spring was compressed by 0.2 meters. The spring has ak of 100 N/m and the coefficient of friction between the block and the incline is 0.40. What is the change in Elastic Potential Energy of the block? O 9.5) O 2.0) O 8.8) O 1.1)
A car of mass 30 kg is moving on a road. The acceleration of car is 10 m/s^2 and the coefficient of friction between road and car is 0.34. Estimate the force required to stop the car.
Q5.) Wedge B is positioned above wedge A as shown. Each wedge has a mass of 12 kg. A linear elastic spring attached to wedge A has a spring constant of 3 kN/m and is currently compressed 0.06 meters from its unstretched length. The coefficient of static friction between the two wedges is 0.5 and the coefficient of static friction between wedge A and the ground is 0.35. A force of P is applied to the corner of wedge B at an angle 30°. Determine the minimum applied force that would cause motion to occur and specify how the system will move. k = 3 kN/m A B 20⁰ 30°
An inclined plane at an angle of 15o is used to lift a 250 kg sofa through a vertical height of 5 meters. If the coefficient of kinetic friction is 0.12, what is the Mechanical Advantage, Ideal Mechanical Advantage, and efficiency of the plane?
A horizontal force is exerted on a 150 lb chair at rest. The coefficient of static friction between the chair and the floor is 0.55. Determine the maximum horizontal force that can be applied to the chair before it moves.