YOU THROW A MARBLE HORIZONTALLY FROM A TABLE TOP WITH A VELOCITY OF 1.50 M/S. THE MARBLE FALLS 0.70 AWAY FROM THE TABLES EDGE
Answers
Answer:
Gives
Velocity (v0x)=1.50m/sec
d=0.70m
We know that
d=V_{0x}td=V
0x
t
0.70=1.50\times t0.70=1.50×t
t=0.47 sec
V_{fy}=V_{0y}+gtV
fy
=V
0y
+gt
V_{fy}=0+(-9.8)\times0.47V
fy
=0+(−9.8)×0.47
V_{fy}=-4.5783m/secV
fy
=−4.5783m/sec
V=\sqrt{V_{ox}^2+V_{fy}^2}V=
V
ox
2
+V
fy
2
Put value
V=\sqrt{{1.50}^2+{(-0.47)}^2}V=
1.50
2
+(−0.47)
2
V=4.82m/sec
Explanation:
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Your complete question is - A marble is thrown horizontally from a table top with a velocity of 1.50 m/s. The marble fall 0.70 m away from the table's edge. How high is the table? What is the marble's velocity just before it hits the floor?
solution : it is based on horizontal projectile motion.
we know, trajectory of horizontal projectile motion is given by, y = gx²/2u²
here given, x = 0.7 m, u = 1.5 m , g = 9.8 m/s²
so , y = (9.8)(0.7)²/(2 × 1.5²)
= 1.0671 m
Therefore the table is 1.0671 m high from the ground.
we know, horizontal velocity remains constant because there is no acceleration acting in horizontal direction.
using formula, s = ut + 1/2 at²
for horizontal direction, a = 0
s = x = 1.5 t
⇒0.7 = 1.5 t
⇒t = 7/15 sec
but in vertical direction, acceleration due to gravity acts on it.
so, velocity in horizontal direction,
v = u + at
= 1.5 + (-9.8)(7/15)
= 1.5 - 4.57
= -3.07 m/s
Therefore velocity just before it strikes, v = 1.5 i - 3.07 j