A 0.25 kg ball is suspended from a light 1.1 m string as shown. The string...
A 0.25 kg ball is suspended from a light 1.1 m string as shown. The string makes an angle of 21° with the vertical. Let U = 0 when the ball is at its lowest point (θ = 0).
1. What is the gravitational potential energy, in joules, of the ball before it is released?
2.
| What will be the speed of the ball, in meters per second, when it reaches the bottom? | ||
Homework Answers
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A 0.25 kg ball is suspended from a light 1.1 m string as shown.
The string...
A pendulum consists of a 1.7-kg bob attached to a light 2.6-m-long string. While hanging at...
A pendulum consists of a 1.7-kg bob attached to a light 2.6-m-long string. While hanging at rest with the string vertical, the bob is struck a sharp horizontal blow, giving it a horizontal velocity of 5.0 m/s. At the instant the string makes an angle of 28° with the vertical, calculate the following (a) the speed m/s (b) the gravitational potential energy (relative to its value is at the lowest point) (c) the tension in the string? (d) What is...
A pendulum consists of a 2.2-kg bob attached to a light 2.0-m-long string. While hanging at...
A pendulum consists of a 2.2-kg bob attached to a light 2.0-m-long string. While hanging at rest with the string vertical, the bob is struck a sharp horizontal blow, giving it a horizontal velocity of 4.5 m/s. At the instant the string makes an angle of 27 degree with the vertical, calculate the following: (a) the speed m/s (b) the gravitational potential energy (relative to its value is at the lowest point) J (c) the tension in the string? N...
A pendulum consists of a 1.9-kg bob attached to a light 2.3-m-long string. While hanging at...
A pendulum consists of a 1.9-kg bob attached to a light 2.3-m-long string. While hanging at rest with the string vertical, the bob is struck a sharp horizontal blow, giving it a horizontal velocity of 4.1 m/s. At the instant the string makes an angle of 30° with the vertical, calculate the following: speed= 3.28 m/s gravitational potential energy is 5.739 J what is the tension in the string in Newtons? what is the angle of the string with the...
A .5 kg ball is suspended from a ceiling by two strings. The ball is at...
A .5 kg ball is suspended from a ceiling by two strings. The ball is at rest String 1 on the left makes a 30 degree angle with the vertical. String 2 on the right makes a 60 degree angle with the vertical What is the magnitude of String 1 compared to String 2 Explain rationale for this answer. Suppose the ceiling is an elevator moving downward with a speed of 2m/s How does tension in string 1 compare to...
A 0.60-kg object is suspended from the ceiling at the end of a 2.0-m string. When...
A 0.60-kg object is suspended from the ceiling at the end of a 2.0-m string. When pulled to the side and released, it has a speed of 4.0 m/s at the lowest point of its path. What maximum angle does the string make with the vertical as the object swings up? 47 degree 54 degree 61 degree 69 degree 77 degree
A 0.5 kg street ball is attached to a very light string and hung from the...
A 0.5 kg street ball is attached to a very light string and hung from the ceiling. The string is 0.78 meters long. The ball is given a horizontal push. The speed after this quick push is 1.4 m/s. The ball then swings like a pendulum. At its highest point, what angle does the string make with the vertical axis?
A 0.5 kg street ball is attached to a very light string and hung from the...
A 0.5 kg street ball is attached to a very light string and hung from the ceiling. The string is 0.78 meters long. The ball is given a horizontal push. The speed after this quick push is 1.4 m/s. The ball then swings like a pendulum. At its highest point, what angle does the string make with the vertical axis
(a) Consider a pendulum with a mass m suspended at the end of a light string...
(a) Consider a pendulum with a mass m suspended at the end of a light string of length l. As it moves through the air the mass experiences a damping force that is proportional to its speed, with constant of proportionality y. (i) Show that the angle θ that the string makes with the vertical is governed by the ordinary differential equation dt2 m dt l in the limit of small θ. 1) State the natural frequency wo of the...
A ball of mass m is suspended from a string, and after being given a push,moves...
A ball of mass m is suspended from a string, and after being
given a push,moves along a horizontal circular path like the one
shown in the diagram.The length of the string is L and the angle
the string makes with the vertical axis is a constant θ. As you
watch the ball travel around it’s circular path you notice that the
ball is traveling with an unknown constant speed. The only forces
acting on the ball are the forces...
A 0.5 kg steel ball is attached to a very light string and hung from the...
A 0.5 kg steel ball is attached to a very light string and hung from the ceiling. The string is 0.78 meters long. The ball is given a horizontal push. The speed after this quick push is 1.4 m/s. The ball then swings like a pendulum. At its highest point, what angle does the string make with the vertical axis? (10 points + 5 extra credit)
A pendulum consists of a 1.7-kg bob attached to a light 2.6-m-long string. While hanging at rest with the string vertical, the bob is struck a sharp horizontal blow, giving it a horizontal velocity of 5.0 m/s. At the instant the string makes an angle of 28° with the vertical, calculate the following (a) the speed m/s (b) the gravitational potential energy (relative to its value is at the lowest point) (c) the tension in the string? (d) What is...
A pendulum consists of a 2.2-kg bob attached to a light 2.0-m-long string. While hanging at rest with the string vertical, the bob is struck a sharp horizontal blow, giving it a horizontal velocity of 4.5 m/s. At the instant the string makes an angle of 27 degree with the vertical, calculate the following: (a) the speed m/s (b) the gravitational potential energy (relative to its value is at the lowest point) J (c) the tension in the string? N...
A 0.60-kg object is suspended from the ceiling at the end of a 2.0-m string. When pulled to the side and released, it has a speed of 4.0 m/s at the lowest point of its path. What maximum angle does the string make with the vertical as the object swings up? 47 degree 54 degree 61 degree 69 degree 77 degree
(a) Consider a pendulum with a mass m suspended at the end of a light string of length l. As it moves through the air the mass experiences a damping force that is proportional to its speed, with constant of proportionality y. (i) Show that the angle θ that the string makes with the vertical is governed by the ordinary differential equation dt2 m dt l in the limit of small θ. 1) State the natural frequency wo of the...
A ball of mass m is suspended from a string, and after being
given a push,moves along a horizontal circular path like the one
shown in the diagram.The length of the string is L and the angle
the string makes with the vertical axis is a constant θ. As you
watch the ball travel around it’s circular path you notice that the
ball is traveling with an unknown constant speed. The only forces
acting on the ball are the forces...
A 0.5 kg steel ball is attached to a very light string and hung from the ceiling. The string is 0.78 meters long. The ball is given a horizontal push. The speed after this quick push is 1.4 m/s. The ball then swings like a pendulum. At its highest point, what angle does the string make with the vertical axis? (10 points + 5 extra credit)
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