How far along the incline is the highest point from the release point?

AI Thread Summary
A block with a mass of 2.00 kg is placed against a spring on a frictionless incline at a 30.0° angle, with the spring compressed by 20.0 cm before release. The spring constant is 19.6 N/cm, equating to 1960 N/m. To determine how far along the incline the block travels after release, the principle of conservation of energy is applied, equating the potential energy stored in the spring to the gravitational potential energy at the block's highest point. The calculations involve using the spring force and gravitational potential energy formulas, with attention to trigonometric components due to the incline. The solution requires careful consideration of energy transformations and angles.
helpmeimdumb
Messages
3
Reaction score
0

Homework Statement


A block with mass m=2.00kg is placed against a spring on a frictionless incline with angle θ=30.0°. The spring, with spring constant k=19.6N/cm, is compressed 20.0cm and then released.

Homework Equations


How far along the incline is the highest point from the release point?

The Attempt at a Solution


k=19.6N/cm=1960N/m k=spring coefficient
x=20cm=.20m x=distance spring was compressed
WK=work
F=force
d=distance
Fspring= -kx= -(1960N/m)(.20m)= -392N

392N=Fspring WK=F×d
 
Last edited by a moderator:
Physics news on Phys.org
helpmeimdumb said:

Homework Statement


A block with mass m=2.00kg is placed against a spring on a frictionless incline with angle θ=30.0°. The spring, with spring constant k=19.6N/cm, is compressed 20.0cm and then released.


Homework Equations


How far along the incline is the highest point from the release point?

Do you know the formula for the potential energy of a spring? Do you know the formula for gravitational potential energy? Basically to solve this problem you have to write and solve equation that says "energy before equals energy after". And for both "before" (when the spring is fully compressed) and after (when the mass is at its maximum height), the kinetic energy is zero. The hardest part is doing the trig.

BBB
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Egg Drop Challenge! Need ideas for winning designs'

I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
View full post »

Similar threads

PE, Work, object on inclined plane resting on a spring.
Replies
11
Views
2K
Conservation of Energy: Spring pushing a block up an incline
Replies
15
Views
4K
Kinetic Energy & Momentum of a Ball released from Spring
Replies
6
Views
2K
How far does the block slide? (work, spring, incline)
Replies
4
Views
2K
How Far Can a Greased Watermelon Be Pulled Down an Inclined Plane?
Replies
5
Views
2K
Box and a Spring on on an inclined plane
Replies
11
Views
3K
A ball (sphere) rotating along a moving incline
Replies
14
Views
2K
PE and KE, mass sliding down incline into a spring (no friction)
Replies
9
Views
2K
Distance of box pushed up incline by spring
Replies
1
Views
3K
How Far Will the Block Travel Up the Incline After Spring Release?
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top