F,N An object of mass m-1kg moving along the x-axis passes through the point x- O with a speed of 2 m/s. The force, applied along the x-axis, varies with position as shown in the figure. a) Calculate the kinetic energy of the object when it passes through x - 0. b) Calculate the work done by the F, force while moving from x-0 to x- 4m. 4 x.m c) Calculate the velocity of the object at x= 4m.
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- S 17 g My sister Sara is pulling a box along a horizontal surface with the force F inclined at an angle 0 with the horizontal. The box moves a distance d. F 1 say that the work done by the force of gravity is equal to zero. O True O False OL MAA 1900-kg pile driver is used to drive a steel beam into the ground. The pile driver falls 6.00 m before coming into contact with the top of the beam, and it drives the beam 9.0 cm farther into the ground as it comes to rest. Using energy considerations, calculate the average force the beam exerts on the pile driver while the pile driver is brought to rest. NA firefighter slides down a pole with constant speed. What can you say about the energy?
- Hockey puck A has half the mass of hockey puck B. Starting from rest, both pucks are pulled the same distance across frictionless ice by strings with the same tension. Compare the work done on puck A and puck В. O The same amount of work was done on puck A and puck B. O The work done on puck A was twice as large as that done on puck B. O The work done on puck A was half as large as that done on puck B. O None of the above is true.The force required to compress a non-standard spring as a function of displacement from equilibrium x is given by the equation F(x) = ax2 - bx, where a = 55 N/m2, b = 4 N/m, and the positive x direction is in the compression direction of the spring. a. Write a general equation in terms of the given variables for the work required to compress this spring from equilibrium to any point xp. b. Calculate the work done, in joules, on the spring as it is compressed from x = 0 to x1 = 42 cm. c. Calculate the work done, in joules, on the spring as it is compressed from x1 = 42 cm to x2 = 94 cm.n 13 A 55 kg box is raised a distance of 2.0 m above a storeroom floor. ed What is the change of potential energy as a result of this move? lout of
- While leaning out a window that is 6.4 m above the ground, you drop a 0.60 kg basketball to a friend at ground level. Your friend catches the ball at a height of 1.9 m above the ground. Determine the following. a)the amount of work done (in J) by the force of gravity on the ball. b) the gravitational potential energy (in J) of the ball-earth system, relative to the ground when it is released. c) the gravitational potential energy (in J) of the ball-earth system, relative to the ground when it is caught. d) the ratio of the change (PEf − PE0) in the gravitational potential energy of the ball-earth system to the work done on the ball by the force of gravityThere is trampoline which is connected to spring on the bottom. The spring constant is 1000 N/m. You are holding a mass of 27 kg at 5.0 m above the top of the trampoline.a.Calculate the potential energy of the mass with respect to the trampoline top. b. Now you decide to drop the mass to the trampoline, calculate velocity when it hits the trampoline? C If trampoline spring compresses 9 cm down, calculate the spring potential energy?A 100 kg block is pulled at a constant speed of 4.0 m/s across a horizontal floor by an applied force of 141 N directed 37° above the horizontal. What is the rate at which the force does work on the block? W
- A 61.5-kg hiker starts at an elevation of 1200 m and climbs to the top of a peak 2750 m high. Part A What is the hiker's change in potential energy? Express your answer to three significant figures and include the appropriate units. ΔΡΕς = Submit Part B W min = Submit Part C What is the minimum work required of the hiker? Express your answer to three significant figures and include the appropriate units. O Yes O No Value Submit μA Request Answer ī μÅ Value Request Answer Units Can the actual work done be greater than this? Request Answer Units ? ?A2.0-kg mass is projected vertically upward from ground level with an initial speed of 30 m/s. e mass rises to a maximum height of 35 m above ground level. What is the change in mechanical energy of the mass caused by air resistance between the point of projection and the point of maximum height?A A parent pulls a child in a wagon at a constant speed, exerting a force of F = 55N at an angle of 30° with respect to the horizontal sidewalk. (a) How much work do they do, if they pull the wagon for a distance of 30m? (b) What is the force of friction on the wagon?