2. A block of mass m = 3 kg starts to slide from rest along a frictionless inclined surface that makes an angle of o = 30°with respect to the horizontal surface. At the lowest points of the inclined surface, a projectile is fired at a speed of vo = 12 m/s that makes an angle 0, = 45° with respect to the horizontal. Our aim of this problem is to find the time when the projectile will hit the block.

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Chapter1: Units, Trigonometry. And Vectors
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Please solve a,b and c

2. A block of mass m = 3 kg starts to slide from rest along a frictionless inclined surface that
makes an angle of o = 30°with respect to the horizontal surface.
At the lowest points of the inclined surface, a projectile is fired at a speed of va = 12 m/s that
makes an angle 0, = 45° with respect to the horizontal. Our aim of this problem is to find the
time when the projectile will hit the block.
450
h = ?
Ro= 10 m
p = 30°
X= ?
(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 R, = 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 = ?
Transcribed Image Text:2. A block of mass m = 3 kg starts to slide from rest along a frictionless inclined surface that makes an angle of o = 30°with respect to the horizontal surface. At the lowest points of the inclined surface, a projectile is fired at a speed of va = 12 m/s that makes an angle 0, = 45° with respect to the horizontal. Our aim of this problem is to find the time when the projectile will hit the block. 450 h = ? Ro= 10 m p = 30° X= ? (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 R, = 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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