You are asked to design a spring that will give a 1160 kg satellite a speed of 2.50 m>s relative to an orbiting space shuttle. Your spring is to give the satellite a maximum acceleration of 5.00g. The spring’s mass, the recoil kinetic energy of the shuttle, and changes in gravitational potential energy will all be negligible. (a) What must the force constant of the spring be? (b) What distance must the spring be compressed?

You are asked to design a spring that will give a 1160 kg satellite a speed of 2.50 m>s relative to an orbiting space shuttle. Your spring is to give the satellite a maximum acceleration of 5.00g. The spring’s mass, the recoil kinetic energy of the shuttle, and changes in gravitational potential energy will all be negligible. (a) What must the force constant of the spring be? (b) What distance must the spring be compressed?

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A 0.505-kg block slides on a frictionless horizontal surface with a speed of 1.18 m>s. The block encounters an unstretched spring and compresses it 23.2 cm before coming to rest. (a)What is the force constant of this spring? (b) For what length of timeis the block in contact with the spring before it comes to rest? (c) Ifthe force constant of the spring is increased, does the time required tostop the block increase, decrease, or stay the same? Explain.
As shown in the figure, a 1.50-kg box is held at rest against a spring with a force constant k = 790 N/m that is compressed a distance d. When the box is released, it slides across a surface that is frictionless, except for a rough patch that has a coefficient of kinetic friction u, = 0.400 and is 6.00 cm in length. If the speed of the box is 1.50 m/s after sliding across the rough patch, determine the initial compression d of the spring. cm Equilibrium position v=0' rough patch wwwwwn 6.00 cm
. A vertical spring with spring constant 250 N/m and whose mass is negligible is loaded with a 0.050 kg ball and it is compressed by 15 cm when "cocked and loaded", then (a) what speed will it give the ball as it just leaves contact with the spring at the spring's equilibrium position and (b) to what height above the original compressed location will the ball reach when it is launched straight up into the air? Include a diagram of the situation.
A 1.6 kg breadbox on a frictionless incline of angle 0 = 35° is connected, by a cord that runs over a pulley, to a light spring of spring %3D constant k = 10O N/m, as shown in the figure. The box is released from rest when the spring is unstretched. Assume that the pulley is massless and frictionless. (a) What is the speed of the box when it has moved 10.7 cm down the incline? (b) How far down the incline from its point of release does the box slide before momentarily stopping, and what are the (c) magnitude and (d) direction of the box's acceleration at the instant the box momentarily stops? (a) Number Unit (b) Number i Unit (c) Number Unit (d) > > >
A block of mass 3.20 kg is placed against a horizontal spring of constant k = 745 N/m and pushed so the spring compresses by 0.0550 m. (a) What is the elastic potential energy of the block-spring system (in J)? (b) If the block is now released and the surface is frictionless, calculate the block's speed (in m/s) after leaving the spring.
A cube of a mass m=0.37 kg is set against a spring with a spring constant of k1=656 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2=181N/m. The cube is not connected to the first spring and may slide freely. I found (a) and (b). I just need help with (c). a). How far d2, in meters, will the second spring compress when thee cube runs into it? 0.19 m. (answer) b). How fast v, in meters per second, will the cube be moving when it strikes the second spring? 4.21 m/s (answer) c). Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is uk=0.5. If the distance between the springs is x=1m, how far d2, in meters, will the second spring now compress?
A 0.260-kg block along a horizontal track has a speed of 1.60 m/s immediately before colliding with a light spring of force constant 4.80 N/m located at the end of the track. (a) What is the spring's maximum compression if the track is frictionless? m (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 equal
A 3.0 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring. (a) Determine the force constant (in N/m) of the spring, if the box compresses the spring 4.7 cm before coming to rest. N/m (b) Determine the initial speed (in m/s) the box would need in order to compress the spring by 1.5 cm. m/s Additional Materials O Reading
A toy car of mass 2.0 kg starts at the top of an incline of angle 20.°. It travels 1.0 meter down the incline to a flat surface where it encounters a spring of spring constant, k = 5.0 N/m. (a) What is the car's speed at the bottom of the incline? (b) When the car encounters the spring, by how much does it compress (max) it? (c) The spring is removed and the car now encounters a second incline as shown. What is the maximum distance the car travels up this second incline?
A mass of 4.0 kg traveling at 5.0 m/s along a smooth, horizontal plane hits a relaxed spring. The mass is slowed to zero velocity when the spring has been compressed by 0.18 m. What is the final spring force when the mass is stopped?
A 2.2 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring. (a) Determine the force constant (in N/m) of the spring, if the box compresses the spring 6.3 cm before coming to rest. N/m (b) Determine the initial speed (in m/s) the box would need in order to compress the spring by 1.6 cm. m/s Additional Materials Reading