A block of mass m = 3 kg is sliding along a frictionless inclined surface that makes an angle of theta = 30 degree with respect to the horizontal surface. At the lowest points of the inclined surface, a projectile is fired at a speed of vv0 = 12 m/s that makes an angle θ = 45 degree with respect to the horizontal. Our aim of this problem is to find the time when the projectile will hit the block. a] Find the time when the projectile hits the block. (Given, the initial distance between the block and the projectile along the inclined surface at t = 0 is R0 = 10 m as shown in the figure) (b) Find the height h, where the projectile will hit the block. (c) Now assume that the projectile hits the block at its maximum range R along the inclined surface and the block is not sliding at all. Then find the maximum range along the inclined surface, Rmax = ?
A block of mass m = 3 kg is sliding along a frictionless inclined surface that makes an angle
of theta = 30 degree with respect to the horizontal surface.
At the lowest points of the inclined surface, a projectile is fired at a speed of vv0 = 12 m/s that
makes an angle θ = 45 degree with respect to the horizontal. Our aim of this problem is to find the
time when the projectile will hit the block.
a] Find the time when the projectile hits the block. (Given, the initial distance between the block
and the projectile along the inclined surface at t = 0 is R0 = 10 m as shown in the figure)
(b) Find the height h, where the projectile will hit the block.
(c) Now assume that the projectile hits the block at its maximum range R along the inclined
surface and the block is not sliding at all. Then find the maximum range along the inclined
surface, Rmax = ?
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