6.85 • A 5.00-kg block is mov- ing at vo = 6.00 m/s along a frictionless, horizontal surface toward a spring with force con- stant k = 500 N/m that is attached to a wall (Fig. P6.85). The spring has negligible mass. (a) Find the maximum distance the spring will be compressed. (b) If the spring is to compress by no more than 0.150 m, what should be the maximum value of vq? Figure P6.85 %3D vo = 6.00 m/s k = 500 N/m 5.00 |kg %3D
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- O Macmillan Learning A block of mass m = 2.15 kg slides along a horizontal table with speed vo= 1.00 m/s. At x = 0, it hits a spring with spring constant k = 73.00 N/m, and it also begins to experience a friction force. The coefficient of friction is given by μ = 0.100. How far has the spring compressed by the time the block first momentarily comes to rest? Ax = m wwwwwwwww AxIf a 4-kg block is placed against the spring and the spring is released, what will be the speed of the block when it separates from the spring at x =0? Neglect any friction in the problem.Problem 10: A pogo stick has a spring with a force constant of 2.50 × 104 N/m, which can be compressed 11.6 cm. To what maximum height, in meters above the compressed position of the spring, can a child jump with the stick using only the maximum elastic potential energy in the spring, if the child and stick have a combined mass of 35 kg? h = || sin() cotan() atan() cosh() cos() asin() acotan() tanh() O Degrees tan() acos() sinh() cotanh() Radians П () 7 8 9 E ^^ 4 5 6 / 1 2 3 + 0 √ BACKSPACE * - HOME END DEL CLEAR
- A car's bumper is designed to withstand a 3.60 km/h (1.0 m/s) collision with an immovable object without damage to the body of the car. The bumper cushions the shock by absorbing the force over a distance. Calculate the magnitude of the average force (in N) on a bumper that collapses 0.225 m while bringing a 820 kg car to rest from an initial speed of 1.0 m/s.A 0.200-kg block along a horizontal track has a speed of 1.60 m/s immediately before colliding with a light spring of force constant 3.70 N/m located at the end of the track. (a) What is the spring's maximum compression if the track is frictionless? (b) If the track is not frictionless, would the spring's maximum compression be greater than, less than, or equal to the value obtained in part (a)? O greater O less O equalA crate of mass m1 slides down a well-lubricated hill of height h, with negligible friction. At the bottom, where it is moving horizontally, it collides with another crate, of mass m2, that initially was sitting at rest and that is attached to a wall by a spring of spring constant k that initially is at its equilibrium length. Assume that the spring itself has negligible mass. a)Given that the distance d that the crates compress the spring is d=0.35 m, calculate the speed v2 of the crates immediately after the collision, in units of meters per second. Use the following values:k=950 N/mm1=2.4 kgm2=2.6 kgμ=0.49g=9.8 m/s2 b) What was the speed of the crate of mass m1 just before the collision with the second block, in meters per second? c)What is the height h of the hill, in meters?
- Consider a Hot Wheels™ car with a mass of 121 g, that is pushed by a student along a track so that it is moving at 5 m/s. It hits a spring (k = 92.5 N/m) at the end of the track, causing it to compress. How far did the spring compress to bring the car to a stop? Calculate the answer in cm and make sure to include the unit. Report your final answer with three significant figures.Mechanic Physics: A block of mass m = 2.00 kg is dropped from height h = 57.0 cm onto a spring of spring constant k = 1250 N/m. Find the maximum distance the spring is compressed.A 400-g ball is thrown vertically upward at 2.0 m / s from a position that is 80 cm on a vertical spring resting on the floor. The ball rises first and then falls on the spring, whose spring constant is 400 N / m. Calculate (a) the speed of the ball as it touches the spring; (b) the maximum compression that the compressed spring undergoes by the ball. Neglect friction with air
- 7.42 A2.00-kg block is pushed against a spring with negligible mass and force constant k = 400 N/m, compressing it 0.220 m. When the block is released, it moves along a frictionless, hori- zontal surface and then up a frictionless incline with slope 37.0° (Fig. P7.42). (a) What is the speed of the block as it slides along the horizontal surface after having left the spring? (b) How far does the block travel up the incline before starting to slide back down? Figure P7.42 k = 400 N/m wwwwwwwww |-0.220 m m = 2.00 kg 37.0°A sphere of mass 7 kg is dropped fro rest from a height oh 2.8 m above the top of a spring of spring constant 1180 N/m mounted vertically on the floor . What will be the maximum compression in the spring?A fully compressed spring shoots a block up a 60 degree slope. What is the max distance the block moves if: 1)There is no friction 2)Friction exists where ?k=0.3 ?=1400 N/m ?=0.2kg, ?compressed=0.1?