A 0.5 kg ball moves in a circle that is 0.4 m in radius at a speed of 4.0 m/s. Calculate the centripetal force exerted on the ba
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1 answer:
M = 0.5 kg, the mass of the ball
r = 0.4 m. the radius from the center of the circle to the ball
v = 4.0 m/s, the tangential velocity of the ball as the ball rotates
counterclockwise about the center of the circle.
Refer to the diagram shown below.
By definition, the centripetal acceleration of the ball is
a = v²/r = (4 m/s)²/(0.4 m) = 40 m/s²
The centripetal force exerted on the ball is
F = m*a = (0.5 kg)*(40 m/s²) = 20 N
Answer: 20 N
r = 0.4 m. the radius from the center of the circle to the ball
v = 4.0 m/s, the tangential velocity of the ball as the ball rotates
counterclockwise about the center of the circle.
Refer to the diagram shown below.
By definition, the centripetal acceleration of the ball is
a = v²/r = (4 m/s)²/(0.4 m) = 40 m/s²
The centripetal force exerted on the ball is
F = m*a = (0.5 kg)*(40 m/s²) = 20 N
Answer: 20 N
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Answer: 0.5 seconds or 2.625 seconds
Explanation:
At t = 0, The ball is 4 ft above the ground.
The height of the football varies with time in the following way:
s(t) = -16 t² + 50 t + 4
we need to find the time in which the height would of the football would be 25 ft:
⇒25 = -16 t² + 50 t + 4
we need to solve the quadratic equation:
⇒ 16 t² - 50 t + 21 = 0
⇒ t = 0.5 s or 2.625 s
Therefore, at t = 0.5 s or 2.625 s, the football would be 25 ft above the ground.
Answer:
Explanation:
Time period of Simple pendulum is given by
where L=length of Pendulum
g=acceleration due to gravity
(a)When elevator is accelerating upward with
effective g will be g+a=9.8+5
therefore time period will decrease
(b)When elevator is moving upward with 5 m/s
effective g will be g as there is no added acceleration
therefore time period will remain same
(c)When elevator is accelerating downward with
effective g will be g-a=9.8-5
therefore time period will increase
(d)When elevator is accelerating downward with
effective g will be g-9.8=0
therefore time period will become infinite