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?

A 4.50 x 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.300 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)? (Enter a number.) N/m

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

You attach your 4.58 - kg Physics for Engineers book to a horizontal spring (k = 549 N/m). You then pull the book to a distance of 6.7 cm and released it from rest. If the coefficient of kinetic friction between your book and the surface is 0.31, calculate the block's speed as it passes through its original position.

When a 3 kg mass is hung on a vertical spring, it extends the spring by 2.00 m. What is the spring constant of the spring in N/m? (Assume g = 10m/s2).

The coefficient of kinetic friction between the m (kg) crate and the plane is u = 0.25. Initially the spring is compressed at x (m) and the crate is at rest. The initial state is at h =0 m. Find the equation that will define the distance d the crate will travel upward and be again at rest. k = 2 kN/m and e (degrees) is the angle between the plane and the horizontal. g = 9.81 m/s². O mx? /(9.81 * m * cos0 + 0.25 * 9.81 * m * sind) m O mx? /(9.81 * m * sind) m O mx? /(9.81 * m * sino + 0.25 * 9.81 * m * cos0) m O Imx? /(9.81 * m * cos0 0.25 *9.81 * m* sino) m Clear my choice

When a 4.00-kg object is hung vertically on a certain light spring that obeys Hooke’s law, the spring stretches 2.50 cm. If the 4.00-kg object is removed, (a) how far will the spring stretch if a 1.50-kg block is hung on it? (b) How much work must an external agent do to stretch the same spring4.00 cm from its unstretched position? Answer :  (a) 472 J (b) 2.76 kN

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