64 ing on a horizontal, frictionless table. The block is pushed 5- o the spring, compressing it by 5.00 m, and is then released m rest. The spring begins to push the block back toward the 4- 3- uilibrium position at x = 0 m. The graph shows the 2. mponent of the force (in newtons) exerted by the spring on e block versus the position of the block (in meters) relative x(m) equilibrium. Use the graph to answer the questions. -5 -3 -1.1 4. -2 -3- ow much work W is done by the spring in pushing the block 4. om its initial position at x = -5.00 m to x = 2.64 m? -5- -6 W = J What is the speed v of the block when it reaches x = 2.64 m? m/s U = What is the maximum speed vmax of the block?

Starting from rest, a 93-kg firefighter slides down a fire pole. The average frictional force exerted on him by the pole has a magnitude of 840 N, and his speed at the bottom of the pole is 3.6 m/s. How far did he slide down the pole? ho

A vertical spring of stiffness k is attached to the top of a block of mass m. At t = 0 the top end of the initially unstretched spring is started to be pulled upwards with constant velocity v, as it can be seen in the figure. When does the speed of the body become maximal first, and what is this maximal value?

A child sits in a wagon with a pile of0.34-kg rocks. If she can throw each rock with a speed of 9.5 m>srelative to the ground, causing the wagon to move, how manyrocks must she throw per minute to maintain a constant averagespeed against a 3.4-N force of friction?

3. A 320 g block is released from rest on a 37° ramp and slides down the ramp a distance d until it contacts a spring of spring constant 820 N/m. The coefficient of kinetic friction between the block and the ramp is 0.26. It compresses the spring 5.3 cm before coming to a stop. How much was the distance d it travelled down the ramp before contacting the spring? 5.3 cm www. |370

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rough surfice Smooth Swace feed 2.50m he 3.00m E; Ei + WNc m A 34.2 kg block slides with a velocity of 10.22 m/s to the right on a frictionless surface (as shown in the figure above). The block slides up a slope to a height of 3.00 m and then slides across a 2.50 m long rough surface with a coefficient of kinetic friction equal to 0.325. The block continues to travel to the right and bumps into a massless spring with a spring constant (k) equal to 2320 N/m. a) How much does the spring get compressed by the block with respect to its equilibrium length? Please answer with a positive number in units of metres, with 3 sig figs. Start with conservation of energy: Er = Ei + WNC , and show all steps. b) What is the potential energy stored by the spring when the mass comes to a stop? Please show the symbolic equation and then “plug in the numbers" to give a numerical answer in units of joules with 3 sig figs. c) What happens to the potential energy stored in the spring after the block stops…

Set up the following initial value problem:A force of sixteen newtons stretches a spring one half of a meter. Amass of two kilograms is attached to the spring and the system isundamped with a force equal to 10cos(2?) newtons applied to it. Themass is initially released from the equilibrium position with a upwardvelocity of one half meters per second.

5. A top WNBA player can jump about .7 meters off the ground. If her mass is 50 kg, what force must she exert against the ground? Assume she crouches a distance of .2 metes prior to jumping, and thus the upward force has this distance to act before leaving the ground. 6. A block is given an initial speed of 4 meters per second up the 0 = 22° plane shown below. Ignoring friction, %3D (a) how far up the plane will it go? (b) How much time elapses before it returns to its starting point? R 4m/s s 22°

a 500 N block fromtesfrom rest slides 6m down a 45 degrees slope. the 3m along a level surface and then up 30 degrees incline until it comes to rest again. the coefficient of friction is 0.15 for all surfaces. what is the distance travelled by the block up the 30 degrees inclined yntiuntil it stops. what is the total distance traveled by the block. what is the velocity when uit reach the level surface. what is the velocity of the block just before it travels up the 30 degrees inclined.