Answer to Question #319070 in Mechanics | Relativity for Joshua

Question

Answer the following with full solution.

1. ) A shot is project 40° from the horizontal at the rate of 30 ft/s. (a) Find the maximum height (b) the maximum range of projectile.

2. ) A drop hammer of 1 ton weight capacity is projected downward by a 12 inch diameter cylinder. At 100 psi air pressure, what is the impact velocity if the stroke is 28 inches.

3.) A projectile is fired up the inclined plane at an initial velocity of 15 m/s. The plane is making an angle of 30° from the horizontal. If the projectile was fired at 30° from the incline, compute the maximum height z measured perpendicular to the incline that is reached by the projectile. Neglect air resistance.

Answer 1

1.

$h=\frac{v^2\sin^2\alpha}{2g}=5.78~ft,$

$l=\frac{v^2\sin 2\alpha}g=27.57~ft,$

2.

$\frac{mv^2}2=(mg+pS)h,$

$v=\sqrt{2h(g+\frac{pS}m)}=31.6~\frac{ft}s,$

3.

$h=\frac{v^2\sin^2\alpha}{2g}\cos\beta=2.5~m.$