A block of mass ' m ' (as shown in figure) moving with kinetic energy E compresses a spring through a distance 25   cm when, its speed is halved. The value of spring constant of used spring will be n E   N   m - 1 for n = _____.

Question

A block of mass ' m ' (as shown in figure) moving with kinetic energy E compresses a spring through a distance 25 &#160; cm when, its speed is halved. The value of spring constant of used spring will be n E &#160; N &#160; m - 1 for n = _____.

Aicharya · Accepted Answer

Using work - energy theorem W net = &#8710; K E W net &#160; = K f - K i &#8658; - 1 2 K x 2 = 1 2 m v 2 2 - 1 2 m v 2 &#8658; - 1 2 K x 2 = E 4 - E &#8658; 1 2 K x 2 = 3 E 4 &#8658; K = 3 E 2 x 2 &#8658; K = 3 E 2 &#215; 1 4 2 = 24 E &#160; N &#160; m - 1 Thus, the value of n = 24 .

A block of mass ' m ' (as shown in figure) moving with kinetic energy E compresses a spring through…

Solution

A block of mass &#39; m &#39; (as shown in figure) moving with kinetic energy E compresses a spring through…

Solution

A block of mass ' m ' (as shown in figure) moving with kinetic energy E compresses a spring through…