F = kx . What is the maximum height reached by the stone? This gives k = F/x. A bullet is fired with V= 100m/s at angle 30 degrees what is the horizontal range? T = 2 pie sqrt(m/k) Find the dimensions k must have for this equation to be dimensionally correct. Thank you Or [a] = [M 0 L 1 T-2]; Thus, the dimensions of a physical quantity are the powers(or exponents) to which the fundamental units of length, mass, time etc. We and our partners will store and/or access information on your device through the use of cookies and similar technologies, to display personalised ads and content, for ad and content measurement, audience insights and product development. and velocity=distance/time Therefore FORCE=(mass*distance)/time^2 As mass tends to M, distance tends to L, time tends to T dimensionally. The magnitude of the force that a spring exerts (F) when it is stretched a distance x from its unstressed length is governed by Hooke's law, F = kx. Dimensionally [k] = [F]/[x] = [M1L1T-2]/[MoL1To] = [M1LoT-2]. What are the dimensions of the force constant, k? in hooke's law (Use the following as necessary: M for mass, T for time, and L for length.) removes tool for defrauded students, Snubbed former Nike exec auctioning rare Jordan shoes, Publix worker's family blames policy for COVID-19 death, Chappelle's Netflix show removed at his request, Experts warn of COVID-19 'surge' after Thanksgiving, Cowboys strength coach suffers medical emergency, 'Voice' singer's tough night in Knockout Rounds. How long will it take to reach an intercept velocity of +390.7 m/s? It is denoted by k. The dimensional formula can be worked out by using the spring force formula i.e. Fox paid 7-figure settlement over bogus conspiracy story, Chrissy Teigen gives first interview since pregnancy loss, David Maas, NBA halftime showman, dies of COVID-19, ER nurse: Some patients still think COVID-19 is a hoax, Education Dept. Find out more about how we use your information in our Privacy Policy and Cookie Policy. Hooke's regulation works only for supplies that are linear-elastic. In other words, the spring constant is the force applied if the displacement in the spring is unity. Yahoo is part of Verizon Media. Therefore, [a] = [L 1 T-2] That is, the dimension of acceleration is 1 dimension in length, -2 dimension in time and zero dimension in mass. Get your answers by asking now. Linear means that rigidity is proportional to rigidity contained in the fashion of use, and elastic means that suggested textile will completely go back to its unique geometry upon unloading. Therefore, the gravitational constant is dimensionally represented as M-1 L 3 T-2. Which side must the flat side of the needle...? Spring Constant Dimensional Formula. To enable Verizon Media and our partners to process your personal data select 'I agree', or select 'Manage settings' for more information and to manage your choices. Therefore, $$k=-\frac{F}{x}$$ Dimension of F=[MLT-2] Dimension of x= [L] According to Newton's law of universal gravitation, the attractive force (F) between two point-like bodies is directly proportional to the product of their masses (m 1 and m 2) and inversely proportional to the square of the distance, r, between them: =. The answer I chose was incorrect. A cabinet is being pushed across a flat floor with a coefficient of friction of 0.54. As we know that FORCE=mass*acceleration and acceleration=velocity/time. And, often times, even with the reality that if individual fibers of a fabrics obey Hooke's regulation, the shape of the deformable body gained't. You can change your choices at any time by visiting Your Privacy Controls. particularly, a sphere pressed adversarial to a inflexible countersurface. What is left to invent since major scientific discovery is at a kind of pause? Join Yahoo Answers and get 100 points today. Still have questions? Definition. The constant ‘k’ cannot be called as a force constant. The time T required for one complete oscillation of a mass m on a spring force constant k is. Wherever there is a proportionality, to remove this proportionality we bring a constant. What are the dimensions of the force constant, k? The friction force is 190 N. What is the mass? The magnitude of the force that a spring exerts (F) when it is stretched a distance x from its unstressed length is governed by Hooke's law, F = kx. A stone was projected into the air, it's time of flight is 6 s and the range is 150m. If something is traveling at constant acceleration of +14.9 m/s^2. its unit is: If a force F is considered that stretches the spring so that it displaces the equilibrium position by x. Spring Constant or force constant is defined as the applied force if the displacement in the spring is unity. in hooke's law, (Use the following as necessary: M for mass, T for time, and L for length.). There do exist non-Hookeic supplies, particularly many rubbers. Information about your device and internet connection, including your IP address, Browsing and search activity while using Verizon Media websites and apps. It is not necesssary that it has to be ‘k’. ⇒ Check Other Dimensional Formulas: Dimensions of Gravitational Potential Energy We know that, F=-kx. rigidity would properly be proportional to rigidity for each fiber, yet compression rigidity isn't proportional to deformation distance. How do I insert my sewing needle on my Pfaff hobbymatic.