Calculate Vertical Velocity of 50kg Diver from 15m Board

AI Thread Summary
To calculate the vertical velocity of a 50 kg diver diving horizontally from a 15-meter board, the potential energy (PE) at 15 meters is 7358 joules, and at 10 meters, it is 4905 joules. The kinetic energy (KE) at 10 meters is found by subtracting the PE at that height from the initial PE, resulting in 2453 joules. Using the kinetic energy formula, 2453 joules equals 0.5 times 50 kg times the square of the velocity, leading to a calculated velocity of 9.91 m/s. However, the error was identified in the height used for the second calculation, emphasizing the importance of carefully reading the problem statement.
bionut
Messages
54
Reaction score
0
(Q) If a diver (standing on a 15 meter high diving board) dives horizontally from the board, and mass is 50 kg. What is his vertical velocity 10 meters from the board ?

PE @ 15m = mgh = 7358j (max)

PE @ 10m = mgh = 4905j

KE @ 10m = 7358 - 4905 = 2453j

KE = 1/2 mv(sqr)

2453= 0.5 x 50 kg v(sqr)

v= 9.91 m/s ... but this is wrong and I can't think of what I have done wrong... any ideas...
 
Physics news on Phys.org
It's 10 metres from the board, not 10 metres above the water. So your second height is just wrong.
 
Ohhh thankyou... lol... (always read the question twice and double check you understand it lol)...
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

How Long and How Fast Do Divers Fall from Different Heights?
Replies
7
Views
3K
Diving Board Jump: Analyzing Velocity and Height
Replies
7
Views
8K
Calculating Force Exerted by a Water Fountain on a Vertical Board
Replies
16
Views
2K
What is the vertical velocity of the rope just as it slides off the peg?
Replies
7
Views
2K
How Do You Calculate Net Force on a Diver?
Replies
8
Views
2K
Air Resistance of a Diver using Ek and Eg
Replies
4
Views
4K
What is the Vertical Velocity of a Rope Sliding off a Peg?
Replies
2
Views
4K
Maximum height reached by object released from a vertical spring
Replies
6
Views
8K
Final velocity of satellite that falls from orbit
Replies
14
Views
2K
How Much Work Does the Landing Mat Perform on Yelena Isinbayeva?
Replies
21
Views
4K

Hot Threads

Recent Insights

Back
Top