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ems1312
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how do i work out the magnitude of the force that has to be applied to compress a spring?
ems1312 said:how do i work out the magnitude of the force that has to be applied to compress a spring?
ems1312 said:is it 0.5kxsquared or just -kx?
ems1312 said:predicting motion course, struggling abit. i even worked out the spring constant on the question before. now its asking me to work out the speed which means combining equations at a guess. its an open university course, so a lot of reading involved which doesn't suit me really. As soon as someone explains it in a different way i normally understand it. advice is good on here though!
ems1312 said:everything......!
its about a small toy attached to a spring with a suction device on the bottom.
the total compression of the spring is 1.2 cm
when the toy pops off the device it reaches a maximum height of 34 cm
the mass of the toy is 0.65g
the spring is ideal and air resistance and other losses are negligible.
the first part was to work out the constant of the spring,
i used these equations...
Strain potential energy: E = 0.5kx2 and gravitational potential energy: E = mgh
Re-arranging this equation to give k (spring constant) as the subject i get:
K = 2 mgh/ x2
Inserting these values into the equation i get:
K = 2 x(6.5 x 10-4 kg) x 9.81 m s-2 x 0.34 m / (0.012 m)2
giving the value of the spring constant as 30.1 N m
the next part was to work out the magnitude of the force that has to be applied in order to compress the spring sufficiently so the toy can be pressed down to the table.
F = Kx
F = 30.1 kg m2 s-2 x 0.012 m
giving 0.36 N as the answer.
the next part is to calculate the speed in which the toy leaves the table, working on that bit now, hope I'm right so far!
ems1312 said:To calculate the speed with which the toy leaves the table i will have used the following equation:
E = ½ m v2
Re-arranged to give:
V =√ E / 0.5 x m
V =√ 0.36 N / 0.5 x (6.5 x 10-4)
V = 33.3 m s-1
So the speed is 33.3 m s-1
This seems quite fast!?
Questions unrelated to this topic should be posted separately. Otherwise, they are quickly going to get lost in the abyss (black hole).ems1312 said:... got another question, or do i put that on a different message?
To calculate the magnitude of a force, you need to know the mass of the object and its acceleration. You can use the formula F=ma, where F is the force, m is the mass, and a is the acceleration. Plug in the values and solve for F to find the magnitude of the force.
The SI unit for force is the Newton (N). Other commonly used units include pounds (lb) and kilogram-force (kgf). It is important to use consistent units when calculating the magnitude of a force.
The direction of a force does not affect its magnitude. The magnitude of a force only depends on the mass and acceleration of the object. However, the direction of a force does affect its overall effect on an object, as it can change the object's velocity or direction of motion.
No, the magnitude of a force only tells you the strength of the force. To determine the direction of a force, you will need to know the angle or vector components of the force. This can be done using trigonometry or vector addition.
In real-world situations, you can use tools such as a spring scale or a force sensor to measure the magnitude of a force. These tools typically have units in either Newtons or pounds, which you can use to determine the force's strength.