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

Question

A ball of mass m is dropped from height h on a light platform fixed at the top of vertical spring as shown in the figure. The platform is depressed by a distance x. What is the spring constant ? (A) (2 mgh / x 2) (B) 2 mgh + x (C) (2 mg ( h + x )/ x 2) (D) (2 mg ( h + x )/ h 2)

Tardigrade Admin · Accepted Answer

(W.D) g+(W . D) text spring =Δ K E =KF-Ki m g(h+x)-(1/2) k x2=0-0 K=(2 m g(h+x)/x2)

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

$\frac{2 m g h}{x ^{2}}$

$2 m g h + x$

$\frac{2 m g ( h + x )}{x ^{2}}$

$\frac{2 m g ( h + x )}{h ^{2}}$

(W.D) $g + (W . D)_{spring} = Δ K E$
$= K_{F} - K_{i}$
$m g (h + x) - \frac{1}{2} k x^{2} = 0 - 0$
$K = \frac{2 m g ( h + x )}{x ^{2}}$

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

x22mgh​

2mgh+x

x22mg(h+x)​

h22mg(h+x)​