A heavy particle is projected from a point on the horizontal at an angle 60 degree with the horizontal with a speed of 10 M per second then the radius of the curvature of its path at the instant of crossing the same horizontal is.
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As the particle moves from its initial position to its final position, its vertical velocity decreases at the rate of 9.8 m/s each second. During this time its horizontal velocity is constant. Let’s determine the vertical and horizontal components of the initial velocity.
Vertical = 10 x sin 60=5
√
3
, Horizontal = 10 x cos 60 = 5 m/s
In a projectile horizontally components of velocity remains constant.
... 10cos60°=Vcos30°... V=10cos60°sec30°=10×
1
2
×
2
√
3
=
10
√
3
ans................... D)10/root3 m/s
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