Question

Notify Me Bookmark

A circus performer stands on a platform and throws an apple from a height of 43.0 m above the ground with an initial velocity v0→ as shown in the figure below. A second, blindfolded performer must catch the apple. If v0 = 27.0 m/s, how far from the end of the platform should the second performer stand? (Assume θ = 30.0∘.) m

A circus performer stands on a platform and throws an apple from a height of 43.0 m above the ground with an initial velocity v0→ as shown in the figure below. A second, blindfolded performer must catch the apple. If v0 = 27.0 m/s, how far from the end of the platform should the second performer stand? (Assume θ = 30.0∘.) m

Image text
A circus performer stands on a platform and throws an apple from a height of 43.0 m above the ground with an initial velocity v → 0 as shown in the figure below. A second, blindfolded performer must catch the apple. If v 0 = 27.0 m / s , how far from the end of the platform should the second performer stand? (Assume θ = 30.0 ∘ .) m

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

A circus performer stands on a platform and throws an apple from a height of 43 m above the ground with an initial velocity v0 as shown in the figure below. If v0 = 19 m/s and a 2 nd performer on the ground at d = 28.63 m happens to have caught the apple. (θ = 40∘.) At what angle (below horizontal) the apple hits the catcher? a. 40.0∘ b. 56.4∘ c. 65.2∘ d. 78.5∘ e. None of above is within 1∘ from the correct answer
Solution
0 0

A crane is made from a long, horizontal arm with mass m = 2.41×104 kg and length L = 52.0 m. The crane arm is supported by a vertical tower positioned halfway along the arm as shown in the figure below. The arm is free to rotate horizontally about the axis of the tower. The moment of inertia of a uniform rod with mass m and length L pivoted about its centre is given by Irod = 112 mL2. L Part 1) The crane lifts a mass M = 1070 kg at the end of the arm on one side of the tower. To keep the crane balanced, a counterweight of mass Mc = 5420 kg is placed on the arm on the opposite side of the tower to mass M. How far from the tower should the counterweight be placed such that the centre of mass for the arm and both masses is directly over the tower? x = m Part 2) What is the moment of inertia of the crane about the axis of the tower? Include the contributions of the horizontal arm, the mass and the counterweight. I = kg m2 Part 3) A net torque of magnitude τ = 6660 Nm is applied to the crane. If the crane starts at rest, what is its angular velocity after t = 30.0 s ? ω = rad s−1
Solution
0 0

A suspended platform of negligible mass is connected to the floor below by a long vertical spring of force constant k = 1200 N/m. A circus performer of mass m = 70 kg falls from rest onto the platform from a height of h = 5.8 m above it, as shown below. Initially, the spring is not compressed or stretched. For this problem, define your system to consist of the person, platform, spring, and Earth, and you should take the reference point y = 0 to be the initial height of the platform. Part (a) Determine the total mechanical energy for this system. Is it conserved? Defend your reasoning. Part (b) As the performer falls, consider the following two segments of their descent: (i) from the moment the performer starts moving until they reach the platform, and (ii) from the moment they start compressing the platform until they reach a maximum compression. For each of two segments, describe what happens to the kinetic energy, gravitational potential energy, and spring potential energy in the system. You should be specific about what forms of energy are present and how they are being converted from one to another.
Solution
0 0