QQuestionPhysics
QuestionPhysics
"Spiderman, whose mass is 80.0 kg, is dangling on the free end of a 12.0 -m-long rope, the other end of which is fixed to a tree limb above. By repeatedly bending at the waist, he is able to get the rope in motion, eventually getting it to swing enough that he can reach a ledge when the rope makes a 60.0° angle with the vertical. How much work was done by the gravitational force on Spiderman in this maneuver?
(Note: Ensure to include the required calculations to solve the problem.)"
10 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:: First, we need to find the height from which Spiderman is able to reach the ledge.
h = 12.0~\text{m} \times \sin(60.0^\circ)
We can use trigonometry to find this height. Let h be the height.
Step 2:: Calculate the value of h.
h \approx 10.4~\text{m}
Step 3:: Now, we need to find the gravitational force acting on Spiderman.
F = 80.0~\text{kg} \times 9.81~\text{m/s}^2
The formula for gravitational force is: where m is the mass of the object and g is the acceleration due to gravity. Let's calculate the gravitational force (F) on Spiderman.
Step 4:: Calculate the value of F.
F \approx 784.8~\text{N}
Step 5:: The work done by a force can be calculated using the formula:
W = F \times d
where W is the work done, F is the force, and d is the distance moved. In this case, the distance moved (d) is equal to the length of the rope (12.0 m).
Step 6:: Calculate the work done by the gravitational force.
W \approx 9417.6~\text{J}
Final Answer
The gravitational force did approximately 9417.6 J of work on Spiderman in this maneuver.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students