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1. An object is launched horizontally from a spring in a demonstration device, as shown above. The object is elevated above the floor at initial height h. (a) Derive an equation for the initial horizontal velocity vo, in terms of the spring constant k, the compression of the spring, x, the mass m of the object, and any fundamental constants. (b) Derive an equation for the time, t, from the moment the object leaves the table until it strikes the floor, in terms of the height h and any necessary fundamental constants. (c) Derive an equation for the horizontal displacement from the edge of the table, d, in terms of h, k, x, m, and any fundamental constants.

1. An object is launched horizontally from a spring in a demonstration device, as shown above. The object is elevated above the floor at initial height h. (a) Derive an equation for the initial horizontal velocity vo, in terms of the spring constant k, the compression of the spring, x, the mass m of the object, and any fundamental constants. (b) Derive an equation for the time, t, from the moment the object leaves the table until it strikes the floor, in terms of the height h and any necessary fundamental constants. (c) Derive an equation for the horizontal displacement from the edge of the table, d, in terms of h, k, x, m, and any fundamental constants.

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  1. An object is launched horizontally from a spring in a demonstration device, as shown above. The object is elevated above the floor at initial height h.

(a) Derive an equation for the initial horizontal velocity v0, in terms of the spring constant k, the compression of the spring, x, the mass m of the object, and any fundamental constants.

(b) Derive an equation for the time, t, from the moment the object leaves the table until it strikes the floor, in terms of the height h and any necessary fundamental constants.

(c) Derive an equation for the horizontal displacement from the edge of the table, d, in terms of h, k, x, m, and any fundamental constants.

 

1. An object is launched horizontally from a spring in a demonstration device, as shown above. The object is elevated above the floor at initial height h. (a) Derive an equation for the initial horizontal velocity vo, in terms of the spring constant k, the compression of the spring, x, the mass m of the object, and any fundamental constants. (b) Derive an equation for the time, t, from the moment the object leaves the table until it strikes the floor, in terms of the height h and any necessary fundamental constants. (c) Derive an equation for the horizontal displacement from the edge of the table, d, in terms of h, k, x, m, and any fundamental constants.
Transcribed Image Text:1. An object is launched horizontally from a spring in a demonstration device, as shown above. The object is elevated above the floor at initial height h. (a) Derive an equation for the initial horizontal velocity vo, in terms of the spring constant k, the compression of the spring, x, the mass m of the object, and any fundamental constants. (b) Derive an equation for the time, t, from the moment the object leaves the table until it strikes the floor, in terms of the height h and any necessary fundamental constants. (c) Derive an equation for the horizontal displacement from the edge of the table, d, in terms of h, k, x, m, and any fundamental constants.
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