1) The ancient Calmarians are about to invade the Nishmatites. In order to do so
ID: 1770644 • Letter: 1
Question
1) The ancient Calmarians are about to invade the Nishmatites. In order to do so, they have to get their 1) soldiers quickly across the river, which is 30.0 m wide. They therefore designed catapults consisting of a spring and a ramp that launches a horseless wagon across the river, as shown in Fig-1. The ramp has a 15.0 grade and a 20.0m horizontal ru Each wagon has a mass of 115.kg, including passenger. The spring has an equilibrium length of 2.00m, and is compressed to a length of 1.00m in order to launch the wagon. What is the minimum spring constant that the spring must have in order for the wagons to make it safely across the river? (Assume that there is no friction anywhere. Remember to consider the fact that the initial position of the wagon is not at the base of the ramp due to the finite length of the compressed spring.) 1,00 m 30.0 m 20.0m Figure 1-A catapult consisting of a ramp with a 15.0 grade and a 20.0 m horizontal run, and a spring with an equilibrium length of 2.00m, is used to launch a horseless wagon across the river The mass of the wagon, including passenger, is 115. kg. The river is 30.0m wide.Explanation / Answer
If F is the force applied on the spring = Spring constant (k) x Extension of the spring (x)
Here, F = weight of each wagon = mg = 115 kg x 9.8 m /sec2 as the mass of each wagon is given and the acceleration due to gravity is 9.8 m/sec2.
Displacement, x = 1 m.
The minimum Spring constant = F/x = 115 x 9.8/1 = 1127 N.m-1
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