A block of mass m = 3 kg is sliding along a frictionless inclined surface that makes an angle of y = 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. 0 = 450 Ro = 10 m h = ? = 300 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 Ro = 10 m as shown in the figure)

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(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:(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 y = 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.
e = 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 Ro = 10 m as shown in the figure)
Transcribed Image Text:A block of mass m = 3 kg is sliding along a frictionless inclined surface that makes an angle of y = 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. e = 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 Ro = 10 m as shown in the figure)
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