How Far Will the Spring Compress When Dropping a 5.8 kg Block?

AI Thread Summary
The discussion centers on calculating the compression of a vertical spring when a 5.8 kg block is dropped onto it. The initial approach used Hooke's Law, relating spring constant k to force and distance, but the calculation yielded an incorrect result. The user initially calculated the compression as 0.1148 meters but later indicated they resolved the issue independently. The conversation highlights the importance of correctly applying physics principles, particularly in dynamic scenarios. Accurate calculations are crucial for understanding spring mechanics in real-world applications.
DStan27
Messages
8
Reaction score
0
A vertical spring with k = 495 N/m is standing on the ground. You are holding a 5.8 kg block just above the spring, not quite touching it.

How far does the spring compress if you let go of the block suddenly?

i thought i could just use k = F/distance

so 495(D) = (5.8)(9.8)

D = .1148 but this is not correct. i take it i am doing something wrong with my acceleration but I'm not sure what. can anyone help me with this?
 
Physics news on Phys.org
nevermind i figured it out.
 

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 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Thread 'Calculation of Tensile Forces in Piston-Type Water-Lifting Devices at Elevated Locations'

Figure 1 Overall Structure Diagram Figure 2: Top view of the piston when it is cylindrical A circular opening is created at a height of 5 meters above the water surface. Inside this opening is a sleeve-type piston with a cross-sectional area of 1 square meter. The piston is pulled to the right at a constant speed. The pulling force is（Figure 2）： F = ρshg = 1000 × 1 × 5 × 10 = 50,000 N. Figure 3: Modifying the structure to incorporate a fixed internal piston When I modify the piston...
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

Distribution of Energy when work is done on a system of 2 masses connected by a spring
Replies
17
Views
1K
Find elastic energy in the compressed spring.
Replies
12
Views
3K
A block of mass m is dropped onto the top of a vertical spring....
Replies
8
Views
5K
Problem with when to use Force and Energy. What compresses spring/
Replies
3
Views
1K
Quadratic equation for maximum compression of a spring
Replies
3
Views
3K
How can I determine the instant the block overcomes static friction?
2
Replies
61
Views
3K
How High Does Cheese Rise on a Released Spring?
Replies
1
Views
1K
How Far Will the Spring Compress in a Frictionless Collision?
Replies
3
Views
1K
How Much Does the Spring Compress When a Man Jumps on a Scale?
Replies
1
Views
2K
How to find the max. compression of a spring given a block on an incline?
Replies
17
Views
6K

Hot Threads

Recent Insights

Back
Top