A 15, g ball is shot from a spring gun whose | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) According to the law of conservation of mechanical energy,the potential energy stored in the compressed spring is converted into the kinetic energ

Vedclass · Accepted Answer

$6$

Vedclass · Answer

(A) According to the law of conservation of mechanical energy,the potential energy stored in the compressed spring is converted into the kinetic energy of the ball.The potential energy of the spring is given by $U = \frac{1}{2} kx^2$.The kinetic energy of the ball is given by $K = \frac{1}{2} mv^2$.Given:Mass $m = 15\, g = 15 	imes 10^{-3}\, kg$Force constant $k = 600\, N/m$Compression $x = 3\, cm = 3 	imes 10^{-2}\, m$Equating the energies:$\frac{1}{2} kx^2 = \frac{1}{2} mv^2$$kx^2 = mv^2$$v^2 = \frac{k}{m} x^2$$v = x \sqrt{\frac{k}{m}}$Substituting the values:$v = (3 	imes 10^{-2}) \sqrt{\frac{600}{15 	imes 10^{-3}}}$$v = (3 	imes 10^{-2}) \sqrt{\frac{600000}{15}}$$v = (3 	imes 10^{-2}) \sqrt{40000}$$v = (3 	imes 10^{-2}) 	imes 200$$v = 6\, m/s$

$A$ $15\, g$ ball is shot from a spring gun whose spring has a force constant of $600\, N/m$. The spring is compressed by $3\, cm$. The greatest possible velocity of the ball for this compression is ............. $m/s$ $(g = 10\, m/s^2)$.

Similar Questions

The potential energy of a weightless spring compressed by a distance $a$ is proportional to

$A$ mass of $0.5\,kg$ moving with a speed of $1.5\,m/s$ on a horizontal smooth surface,collides with a nearly weightless spring of force constant $k = 50\,N/m$. The maximum compression of the spring would be ............. $m$.

$A$ block of weight $W$ moving with velocity $v$ on a frictionless horizontal surface hits a spring of force constant $k$. The maximum compression in the spring will be at a distance of .........

$A$ ball of mass $m$ is dropped from a height $h$ on a platform fixed at the top of a vertical spring,as shown in the figure. The platform is depressed by a distance $x$. Then the spring constant is

Vedclass Test Series

Exam Paper Generator

Online Exam Module