Question

Notify Me Bookmark

A child of mass 30 kg is playing on a maypole swing in a playground. The length of rope is x = 3.0 m long and at an angle of 60∘ to the horizontal as she swings freely in a circular path. Ignore the mass of the rope in your calculations and find the speed of girl when she swings.

A child of mass 30 kg is playing on a maypole swing in a playground. The length of rope is x = 3.0 m long and at an angle of 60∘ to the horizontal as she swings freely in a circular path. Ignore the mass of the rope in your calculations and find the speed of girl when she swings.

Image text
A child of mass 30 k g is playing on a maypole swing in a playground. The length of rope is x = 3.0 m long and at an angle of 60 ∘ to the horizontal as she swings freely in a circular path. Ignore the mass of the rope in your calculations and find the speed of girl when she swings.

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

Children playing in a playground on the flat roof of a city school lose their ball to the parking lot below. One of the teachers kicks the ball back up to the children as shown in the figure below. The playground is 4.70 m above the parking lot, and the school building's vertical wall is h = 6.10 m high, forming a 1.40 m high railing around the playground. The ball is launched at an angle of θ = 53.0∘ above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall. (Due to the nature of this problem, do not use rounded intermediate values-including answers submitted in WebAssign-in your calculations.) (a) Find the speed (in m/s) at which the ball was launched. m/s (b) Find the vertical distance (in m) by which the ball clears the wall. m (c) Find the horizontal distance (in m) from the wall to the point on the roof where the ball lands. m (d) What If? If the teacher always launches the ball with the speed found in part (a), what is the minimum angle (in degrees above the horizontal) at which he can launch the ball and still clear the playground railing? (Hint: You may need to use the trigonometric identity sec2⁡(θ) = 1+tan2⁡(θ).) ∘ above the horizontal (e) What would be the horizontal distance (in m) from the wall to the point on the roof where the ball lands in this case? m
Solution
0 0

Logan is standing on a dock holding onto a rope swing that is L = 3.50 m long and suspended from a tree branch above. The rope is taut and makes a 30.0∘ angle with the vertical. Logan swings in a circular arc, passing through the bottom of the arc then releasing the rope when it makes an angle of θ = 11.9∘ with the perpendicular. If Logan's mass is 79.0 kg, how much work Wgrav does gravity do on him up to the point where he releases the rope? Wgrav = J

Solution
3 0

A child of mass m is sitting at rest on a swing of length L. Their parent pulls them back making an angle of θ with the vertical as shown in the diagram. The parent uses a force that is perfectly horizontal. a) Find an expression for the force required to pull the child back as a function of the angle made by the swing. θ, m, L, and any fundamental can be in your answer. b) (Calculus version) i. Set up but do not solve an integral that could be used to calculate the work done on the child. ii. Now execute the integral showing that the work done will equal the resulting increase in potential energy. c) (Non calculus version) i. Find an expression for the height of the child above their lowest position as a function of θ and L. ii. Find an expression for the potential energy of the child in terms of m, θ, L, and any fundamental constants. d) The child is released and swings down to the lowest position. i. What is the tension in the cable the instant they are released? (Hint: their velocity the instant they are released is zero, but the net force is unbalanced. ) ii. What is the acceleration of the child the instant the parent releases them? iii. What is the speed of the child at the bottom of their swing? iv. What is the tension in the cable at the bottom of their swing?
Solution
0 0