Question

A 15g ball is shot from a spring gun whose spring has a force constant of 600 N/m. The spring is compressed by 5cm. The greatest possible horizontal range of the ball for this compression is ($g=10m/s^2$)

• A. 6.0 m
• B. 10.0 m
• C. 12.0 m
• D. 8.0 m

Answer 1

The correct option is B 10.0 m

Energy stored $E=\frac{1}{2}\pi x^2=\frac{1}{2}\times 600\times {0.05}^2$

= 0.75J

Energy conservation

k.E=$\frac{1}{2}m{v}^2$

$v=\sqrt{\frac{2K.E}{m}}=10m/s.$

maximum Range $d=\frac{v^{2}sin2\theta }{g}$

$\frac{d\left(d\right)}{d\theta }=0$ given $\theta =\pi /4$ & 0[d=10m]