5) A ball on a 1.4 m long string is being whirled in mid-air in a...
5) A ball on a 1.4 m long string is being whirled in mid-air in a horizontal circle at a constant speed. The tension in the string is 26 N and the mass of the ball is 0.74 kg.
a) What angle does the string make with the horizontal? (Also, why is the string not parallel to the ground?)
b) What is the speed of the ball? Be warned, the radius of the circular motion is not the length of the string!
6) A roller coaster car carrying a single person has a speed of 11.0 m/s at the top of a circular loop with a radius of 12.0 m. The combined mass of the car and person is 125 kg.
a) What is the normal force acting on the roller coaster car at the top of the loop?
b) What is the minimum speed that the roller coaster car can have at the top of the loop while still maintaining contact with the tracks of the roller coaster?
Homework Answers
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5) A ball on a 1.4 m long string is being whirled in mid-air in
a...
A 1.0-kg ball on the end of a string is whirled at a constant speed of...
A 1.0-kg ball on the end of a string is whirled at a constant speed of 2.0 m/s in a horizontal circle of radius 1.5 m. What is the work done by the centripetalforce during one half revolution?
A 1.1 kg ball is attached to a 1.35 m long string and whirled overhead in...
A 1.1 kg ball is attached to a 1.35 m long string and whirled overhead in a horizontal plane. The ball goes through 3 revolutions each second. (a) The period of the ball's motion is s (b) The ball's angular speed in radians per second is rad/s (c) The ball's linear speed is m/s (d) The ball's acceleration is m/s/s (e) What force does the string exert on the ball? N
A ball on the end of a string is whirled around in a horizontal circle of...
A ball on the end of a string is whirled around in a horizontal circle of radius 0.340 m. The plane of the circle is 1.20 m above the ground. The string breaks and the ball lands 2.50 m (horizontally) away from the point on the ground directly beneath the ball's location when the string breaks. Find the radial acceleration of the ball during its circular motion. Magnitude m/s Direction
Problem 1 You are designing a roller coaster, shown in the figure below. An empty car...
Problem 1 You are designing a roller coaster, shown in the figure below. An empty car has a mass of 120 kg. The radius of the vertical loop in the track is 12.0 m and the bottom of the loop is 5.0 m above the ground. Assuming the roller coaster is frictionless, how high must the car initially climb above the ground (point A) such that the speed of the car is 25.0 m/s at the top of the loop...
A certain roller coaster design uses a vertical loop of radius 7.248 m. Assuming that the...
A certain roller coaster design uses a vertical loop of radius 7.248 m. Assuming that the roller coaster remains on the track, what is the minimum speed of a car at the top of the loop? (HINT: In general, the centripetal force is the vector sum of the car's weight w and the normal force N exerted by the tracks. The value of N varies with the speed. The minimum value of N is zero, which occurs when the roller...
A 0.9 kg ball attached to a cord is whirled in a vertical circle of radius...
A 0.9 kg ball attached to a cord is whirled in a vertical circle of radius 2.5 m. Find the minimum speed needed at the top of the circle so that the cord remains taut and the ball’s path remains circular.
A ball of mass m = .43kg is attached to a cord and whirled in a...
A ball of mass m = .43kg is attached to a cord and whirled in a vertical circle radius R = 1.7m at a constant speed. The ball takes 3.8s to go around once. Please find the tension T, in the cord, when the ball is at the bottom of the circle and when it is at the top of the circle.
A huge spring launched a cart with passengers into a roller-coaster with a circular loop, which...
A huge spring launched a cart with passengers into a roller-coaster with a circular loop, which has a radius of 8.00 meters. The whole roller-coaster is frictionless. At the top of a circular loop, the cart is moving with a speed of 10.0 m/s. The total mass of the cart with the passengers is 450 kg. a. [5] With that speed, does the cart stay in contact with the roller-coaster at the top of the loop? b. [2] At the...
3. A car with mass m travels over a hill with a radius of curvature of...
3. A car with mass m travels over a hill with a radius of curvature of r at a speed of 15 m/s. What is the normal force on the car when the car is at the top of the hill? (6 pts) the car has a mass of 1200 Kilograms and the radius of curvature is 25 meters 4. A student with a mass of m rides a roller coaster with a loop with a radius of curvature of...
A tennis ball connected to a string is spun around in a vertical, circular path at...
A tennis ball connected to a string is spun around in a
vertical, circular path at a uniform speed. The ball has a mass m =
0.175 kg and moves at v = 5.22 m/s. The circular path has a radius
of R = 1.14 m
1.What is the
magnitude of the tension in the string when the ball is at the
bottom of the circle?
2.What is the
magnitude of the tension in the string when the ball is...
A ball on the end of a string is whirled around in a horizontal circle of radius 0.340 m. The plane of the circle is 1.20 m above the ground. The string breaks and the ball lands 2.50 m (horizontally) away from the point on the ground directly beneath the ball's location when the string breaks. Find the radial acceleration of the ball during its circular motion. Magnitude m/s Direction
Problem 1 You are designing a roller coaster, shown in the figure below. An empty car has a mass of 120 kg. The radius of the vertical loop in the track is 12.0 m and the bottom of the loop is 5.0 m above the ground. Assuming the roller coaster is frictionless, how high must the car initially climb above the ground (point A) such that the speed of the car is 25.0 m/s at the top of the loop...
A huge spring launched a cart with passengers into a roller-coaster with a circular loop, which has a radius of 8.00 meters. The whole roller-coaster is frictionless. At the top of a circular loop, the cart is moving with a speed of 10.0 m/s. The total mass of the cart with the passengers is 450 kg. a. [5] With that speed, does the cart stay in contact with the roller-coaster at the top of the loop? b. [2] At the...
3. A car with mass m travels over a hill with a radius of curvature of r at a speed of 15 m/s. What is the normal force on the car when the car is at the top of the hill? (6 pts) the car has a mass of 1200 Kilograms and the radius of curvature is 25 meters 4. A student with a mass of m rides a roller coaster with a loop with a radius of curvature of...
A tennis ball connected to a string is spun around in a
vertical, circular path at a uniform speed. The ball has a mass m =
0.175 kg and moves at v = 5.22 m/s. The circular path has a radius
of R = 1.14 m
1.What is the
magnitude of the tension in the string when the ball is at the
bottom of the circle?
2.What is the
magnitude of the tension in the string when the ball is...
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