a .20 kg ball on a string is whirled on vertical circle at constant speed. When the ball is at 3:00 position, tension is 16 N.
a) is centripetal force acting on ball the same at each point on the circle?
b) when the ball is at 3:00, what is proving the centripetal force: gravity, tension in string, or combinaiton of both?
c) Is the tension in the string greater when the ball is at 12:00 or 6:00 position?
A) yes.
B)gravity acts straight down at w=mg. centripetal force is acting towards the center of where it rotates. It would be from the tension.
C)It is equal the whole way through. Since it is moving in a uniform circle, the force is equal at any point throughout the rotation.
T=17.96
ac=80 m/s^2
a) To determine if the centripetal force acting on the ball is the same at each point on the circle, we need to understand the factors that contribute to the centripetal force. The centripetal force is the force that keeps an object moving in a circular path and is directed towards the center of the circle.
The centripetal force can be calculated using the formula: Fc = m * v^2 / r, where Fc is the centripetal force, m is the mass of the object, v is the velocity of the object, and r is the radius of the circle.
In this case, the mass of the ball is 0.20 kg, and the speed is constant. Since the mass and speed of the ball do not change as it moves around the circle, the only factor that can affect the centripetal force is the radius of the circle.
Since the radius is constant, the centripetal force will also remain constant at each point on the circle. Therefore, the centripetal force acting on the ball is the same at each point on the circle.
b) When the ball is at the 3:00 position, the centripetal force is provided by a combination of forces. The primary force providing the centripetal force is tension in the string. The tension in the string is directed towards the center of the circle and keeps the ball moving in the circular path.
Additionally, gravity also plays a role in providing the centripetal force. Gravity pulls the ball downward, and when the ball is at the highest point on the circle (12:00 position), gravity provides an additional component of the centripetal force.
Therefore, when the ball is at the 3:00 position, the centripetal force is provided by the tension in the string and a smaller component of the force resulting from gravity.
c) To determine whether the tension in the string is greater when the ball is at the 12:00 or 6:00 position, we need to analyze the forces acting on the ball at these positions.
At the 12:00 position, the tension in the string is at its minimum because the gravitational force acting downwards is at its maximum. The tension in the string needs to be just enough to balance the gravitational force and keep the ball moving in the circle.
At the 6:00 position, the tension in the string is at its maximum because at this point, gravity is aiding the tension in the string to keep the ball moving in the circle. The tension in the string needs to be strong enough to counter both the weight of the ball and provide the necessary centripetal force.
Therefore, the tension in the string is greater when the ball is at the 6:00 position compared to when it is at the 12:00 position.