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- The desperate contestants on a TV survival show are very hungry. The only food they can see is some fruit hanging on a branch high in a tree. Fortunately, they have a spring they can use to launch a rock. The spring constant is 1300 N/m, and they can compress the spring a maximum of 38 cm. All the rocks on the island seem to have a mass of 480 g. With what speed does the rock leave the spring?The mechanical energy (kinetic+potential) of the system of two colliding objects on a horizontal frictionless surface is conserved. This statement is O Always true for any collision O more information is needed O Always false for any collisionSuppose you have a spring (of constant k = 250) and you compress it 10 cm. next to the spring you place a frictionless cart of mass 250 g. The spring is released and the cart is pushed along a horizontal track. What speed (in m/s) does the cart obtain?
- A 2 kg block is initially at rest on top of a frictionless at an angle of 60 degrees with respect to the horizontal and is sitting on top of a table. The surface of the table is also frictionless and it is 1 meter above the floor. ramp. The ramp is inclined The block is released and it slides 4 meters down the ramp, across the table and flies off the table onto the floor. A) Find the speed of the block when it flies off the table.7.43 - A 2.0-kg piece of Figure P7.43 wood slides on a curved surface Wood (Fig. P7.43). The sides of the surface are perfectly smooth, but the rough horizontal bottom is 30 m long and has a kinetic friction coefficient of 0.20 with the wood. The piece of wood starts from rest 4.0 m above the rough bottom. (a) Where will this wood eventually come to rest? (b) For the motion from the initial release until the piece of wood comes to rest, what is the total amount of work done by friction? Rough bottomA package is fastened to the lower end of a light vertical spring and rests on a table. The package has a mass M and the upper end of the spring is fastened to a block of mass m. The upper block is pushed down by an additional force 3mg, so the spring compression is 4mg. In this configuration, the upper block is released from rest. The spring lifts the lower block off the table. What is the ratio of M/m that yields the greatest possible value for M? k M
- A 3.0 kg block slides with a speed of 2.3 m/s on a frictionless horizontal surface until it encounters a spring. If the block compresses the spring 5.6 cm before coming to rest, what is the force constant of the spring? What initial speed should the block have to compress the spring by 1.4 cm?After being hit, a 950 g rock with an initial speed of 455 cm/s slides along a horizontal road against a friction force of 1.91 N. a) How long will it take before it stops? b) What is the coefficient of kinetic friction between the surfaces? c) How much kinetic energy did the rock possess after being hit?Two blocks with masses 0.342 kg (A) and 0.719 kg (B) sit on a frictionless surface. Between them is a spring with spring constant 27.7 N/m, which is not attached to either block The two blocks are pushed together, compressing the spring by 0.270 meter, after which the system is released from rest. What is the final speed of the block A? (Hint: you will need to use both conservation of energy and conservation of momentum to solve this problem).