During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. A balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. Assume that the stretching of the hose obeys Hooke's law with a spring constant of 120 N/m. If the hose is stretched by 2.30 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length?

You have a light spring which obeys Hooke's law. This spring stretches 3.04 cm vertically when a 2.90 kg object is suspended from it. Determine the following. (a) the force constant of the spring (in N/m) N/m (b) the distance (in cm) the spring stretches if you replace the 2.90 kg object with a 1.45 kg object cm (c) the amount of work (in J) an external agent must do to stretch the spring 8.10 cm from its unstretched position J

A 1500-kg car moving at 20 m/s hits an initially uncompressed horizontal ideal spring. What is the spring constant if the maximum distance the spring compresses is 0.5 m? 2.4 x 10° N/m 3.0 x 106 N/m 2.0 x 106 N/m 1.0 x 106 N/m

When a 2.10-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.98 cm. (a) What is the force constant of the spring? (b) If the 2.10-kg object is removed, how far will the spring stretch if a 1.05-kg block is hung on it? (c) How much work must an external agent do to stretch the same spring 7.00 cm from its unstretched position?

(a) A bathroom scale has a spring that is compressed by 1.50 cm when a 150 kg person stands on the scale. Assuming the spring is described by Hooke's law, find its force constant (in N/m).   ______N/m   (b) How much (in mm) would it be compressed if a 95.0 kg person stands on the scale in an elevator that is accelerating upward at 1.25 m/s²?______mm

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

As a part of an exercise routine to strengthen their pectoral muscles, a person stretches a spring which has a spring constant k=585N/m

During spring semester at MIT, residents of the parallel buildings of the East Campus dorms battle one another with large catapults that are made with surgical hose mounted on a window frame. A balloon filled with dyed water is placed in a pouch attached to the hose, which is then stretched through the width of the room. Assume that the stretching of the hose obeys Hooke's law with a spring constant of 130 N/m. If the hose is stretched by 5.30 m and then released, how much work does the force from the hose do on the balloon in the pouch by the time the hose reaches its relaxed length?

When a 2.30-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.26 cm. (a) What is the force constant of the spring? N/m (b) If the 2.30-kg object is removed, how far will the spring stretch if a 1.15-kg block is hung on it? cm (c) How much work must an external agent do to stretch the same spring 7.10 cm from its unstretched position?