A person with mass m is skateboarding across level ground on earth with a speed vo when they come to a small slope that raises them a distance h higher than ground level over a distance d, as shown in the figure below. A frictional force with magnitude F, is also acting on the skateboard opposing the direction of motion as it travels up the slope. ↑ ● d i ● ● a) Derive an expression using the defined variables (and g) for the speed of the person after they reach the top of the slope. b) If the person's mass m = 50 kg, their initial speed is vo = 3 m/s, the slope raises them h = 0.4 m over a distance of d = 2 m and the magnitude of the force of friction is F, = 2 N, what is their speed at the top of the slope?

A particle starts from zo = 22 m at to=0 and moves with the velocity graph shown in (Eigure 1). You may want to review (Pages 41-43). Figure v, (m/s) 12 Z 1 2 3 8 4 0 1 of 1 r(s) Submit Value Part C Units Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remaining Value What is the object's position at t=48? Express your answer to two significant figures and include the appropriate units. ? Units Submit Previous Answers Request Answer ? X Incorrect; Try Again; 3 attempts remaining

You have put a sonar device at the top of a frictionless inclined plane, as shown in the diagram below. That device allows you to measure the distance an object is from the device, as well as the speed and the acceleration of that object. If we decide that the origin (h = 0) is at the sonar device, we want to know what the height change is as we slide down the incline. 0 For an angle below the horizontal of 6.46, we see that our object has slid a distance 1.13 m, as measured along the incline itself. Calculate the height change in meters - and report your answer as a negative number. (This value would be useful for calculating the change in gravitational potential energy, as we will do in the lab.) h=o 10% O i 26 QUATU 99+ hp X 55 83°F 3:11 PM 10/16/2022 Ctrl 0

Solve D,E, F

Determine the relationship which governs the velocities of the three cylinders, and state the number of degrees of freedom. Express all velocities as positive down. If VA = 1.21 m/s and vc = 2.30 m/s, what is the velocity of B? Answers: B Number of degrees of freedom: n = VB = i i m/s

A steel cable lying flat on the floor drags a 20 kg block across a horizontal, frictionless floor. A 110 N force applied to the cable causes the block to reach a speed of 3.9 m/s in a distance of 2.0 m. What is the mass of the cable? Express your answer with the appropriate units. m= Submit μA Value Units ? Units input for part A Previous Answers Request Answer

Problem 4.17 7 of 11 Can cars "stop on a dime"? Constants Part A Calculate the acceleration ofa 1200 kg car if it can stop from 43 km/h on a dime (diameter = 1.7 cm.) Express your answer to two significant figures and include the appropriate units. HA als Value Units a = Proctor DeguestAncuer - 8:36 hp L7 8.