A restoring force of a hypothetical spring-mass system(k(x)= 150xN/m, m = 0.200 kg) obeys a law,...
A restoring force of a hypothetical spring-mass system(k(x)= 150xN/m, m = 0.200 kg) obeys a law, similar to Hooke’s law:F(x) =kx^2 How much work is done by stretching the spring from x = 5.00 cm to 15.0 cm?
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A restoring force of a hypothetical spring-mass system(k(x)=
150xN/m, m = 0.200 kg) obeys a law,...
To understand the use of Hooke's law for a spring. Hooke's law states that the restoring...
To understand the use of Hooke's law for a spring. Hooke's law states that the restoring force F⃗ on a spring when it has been stretched or compressed is proportional to the displacement x⃗ of the spring from its equilibrium position. The equilibrium position is the position at which the spring is neither stretched nor compressed. Recall that F⃗ ∝x⃗ means that F⃗ is equal to a constant times x⃗ . For a spring, the proportionality constant is called the spring constant and denoted...
Hooke’s Law states that the force required to maintain a spring stretched x units beyond its...
Hooke’s Law states that the force required to maintain a spring stretched x units beyond its natural length is proportional to x, i.e. f(x) = kx where k is a positive constant. Suppose that 4 J of work is needed to stretch a spring from its natural length 10 cm to a length of 36 cm. Find the exact value of work needed to stretch the spring from 15 cm to 28 cm.
When a 3.80-kg object is hung vertically on a certain light spring that obeys Hooke's law,...
When a 3.80-kg object is hung vertically on a certain light spring that obeys Hooke's law, the spring stretches 2.30 cm. (a) If the 3.80-kg object is removed, how far will the spring stretch if a 1.50-kg block is hung on it? x When an object is 'hung' from a spring, the spring force is equal in magnitude to the gravitational force. cm (6) How much work must an external agent do to stretch the same spring 4.00 cm from...
Consider a mass m suspended from a massless spring that obeys Hooke's Law (i.e. the force...
Consider a mass m suspended from a massless spring that obeys Hooke's Law (i.e. the force required to stretch or compress it is proportional to the distance stretched/compressed). The kinetic energy T of the system is mv2/2, where v is the velocity of the mass, and the potential energy V of the system is kr-/2, where k is the spring constant and x is the displacement of the mass from its gravitational equilibrium position. Using Lagrange's equations for mechanics (with...
A spring is found to not obey Hooke's law. It exerts a restoring force F(x) =-ax-...
A spring is found to not obey Hooke's law. It exerts a restoring force F(x) =-ax- 2 N if it stretched or compressed, where α = 60 N/m and β 18.0 Nm2/3. The mass of the spring is negligible. (a) Calculate the work function W(x) for the spring. Let U=0 when x=0. (b) An object of mass 0.900 kg on a horizontal surface is attached to this spring. The surface provides a friction force that is dependent on distance Fr(x)2x2...
Suppose a force of 40 N is required to stretch and hold a spring 0.1 m from its equilibrium position. a. Assuming the spring obeys Hooke's law, find the spring constant k. b. How much work is req...
Suppose a force of 40 N is required to stretch and hold a spring 0.1 m from its equilibrium position. a. Assuming the spring obeys Hooke's law, find the spring constant k. b. How much work is required to compress the spring 0.2 m from its equilibrium position? c. How much work is required to stretch the spring 0.5 m from its equilibrium position? d. How much additional work is required to stretch the spring 0.1 m if it has...
s Law for this (F--ks): Where F is the spring's restoring force; k is the spring...
s Law for this (F--ks): Where F is the spring's restoring force; k is the spring constant; and s is the stretch. The negative sign means the spring's restoring force is opposite the stretch direction. You have a plot from weight IN] versus stretch [m). The data forms a linear trend y 3.662x+1,67. How much will the spring stretch if 51.7 grams is hung on the spring? Answer in centimeters with three significant figures or N/A if not enough information...
8 of 10 Incorrec A block of mass m- 5.33 kg is attached to a spring...
8 of 10 Incorrec A block of mass m- 5.33 kg is attached to a spring which is resting on a horizontal frictionless table. Th Map block is pushed into the spring, compressing it by 5.00 cm, and is then released from rest. The spring begins to push the block back toward the equilibrium position at x = 0 cm. The graph shows the component of the force (in N) exerted by the spring on the block versus the position...
A spring, of negligible mass and which obeys Hooke's Law, supports a mass M on an...
A spring, of negligible mass and which obeys Hooke's Law,
supports a mass M on an incline which has negligible friction. The
figure below shows the system with mass M in its equilibrium
position. The spring is attached to a fixed support at P. The
spring in its relaxed state is also illustrated. Mass M has a value
of 255 g. Calculate k, the spring constant. The mass oscillates
when given a small displacement from its equilibrium position along
the...
When a 3.80-kg object is hung vertically on a certain light spring that obeys Hooke's law,...
When a 3.80-kg object is hung vertically on a certain light spring that obeys Hooke's law, the spring stretches 2.60 cm. (b) How much work must an external agent do to stretch the same spring 4.00 cm from its unstretched position? _____J
When a 3.80-kg object is hung vertically on a certain light spring that obeys Hooke's law, the spring stretches 2.30 cm. (a) If the 3.80-kg object is removed, how far will the spring stretch if a 1.50-kg block is hung on it? x When an object is 'hung' from a spring, the spring force is equal in magnitude to the gravitational force. cm (6) How much work must an external agent do to stretch the same spring 4.00 cm from...
Consider a mass m suspended from a massless spring that obeys Hooke's Law (i.e. the force required to stretch or compress it is proportional to the distance stretched/compressed). The kinetic energy T of the system is mv2/2, where v is the velocity of the mass, and the potential energy V of the system is kr-/2, where k is the spring constant and x is the displacement of the mass from its gravitational equilibrium position. Using Lagrange's equations for mechanics (with...
A spring is found to not obey Hooke's law. It exerts a restoring force F(x) =-ax- 2 N if it stretched or compressed, where α = 60 N/m and β 18.0 Nm2/3. The mass of the spring is negligible. (a) Calculate the work function W(x) for the spring. Let U=0 when x=0. (b) An object of mass 0.900 kg on a horizontal surface is attached to this spring. The surface provides a friction force that is dependent on distance Fr(x)2x2...
Suppose a force of 40 N is required to stretch and hold a spring 0.1 m from its equilibrium position. a. Assuming the spring obeys Hooke's law, find the spring constant k. b. How much work is required to compress the spring 0.2 m from its equilibrium position? c. How much work is required to stretch the spring 0.5 m from its equilibrium position? d. How much additional work is required to stretch the spring 0.1 m if it has...
s Law for this (F--ks): Where F is the spring's restoring force; k is the spring constant; and s is the stretch. The negative sign means the spring's restoring force is opposite the stretch direction. You have a plot from weight IN] versus stretch [m). The data forms a linear trend y 3.662x+1,67. How much will the spring stretch if 51.7 grams is hung on the spring? Answer in centimeters with three significant figures or N/A if not enough information...
8 of 10 Incorrec A block of mass m- 5.33 kg is attached to a spring which is resting on a horizontal frictionless table. Th Map block is pushed into the spring, compressing it by 5.00 cm, and is then released from rest. The spring begins to push the block back toward the equilibrium position at x = 0 cm. The graph shows the component of the force (in N) exerted by the spring on the block versus the position...
A spring, of negligible mass and which obeys Hooke's Law,
supports a mass M on an incline which has negligible friction. The
figure below shows the system with mass M in its equilibrium
position. The spring is attached to a fixed support at P. The
spring in its relaxed state is also illustrated. Mass M has a value
of 255 g. Calculate k, the spring constant. The mass oscillates
when given a small displacement from its equilibrium position along
the...
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