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Mass on Incline Puntos:2 A spring, of negligible mass and which obeys Hooke's Law, supports a...
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...
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...
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...
A shopper weighs 2.50 kg of apples on a supermarket scale whose spring obeys Hooke's law...
A shopper weighs 2.50 kg of apples on a supermarket scale whose spring obeys Hooke's law and notes that the spring stretches a distance of 2.00 cm. (a) What will the spring's extension be if 5.50 kg of oranges are weighed instead?cm (b) What is the total amount of work that the shopper must do to stretch this spring a total distance of 8.50 cm beyond its relaxed position?
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...
force and Gravitational force Puntos:2 Two identical balls of mass 24 g are suspended from threads...
force and Gravitational force Puntos:2 Two identical balls of mass 24 g are suspended from threads of length 1.1 m and carry equal charges of 19 nC as shown in the figure. Assume that 0 is so small that its tangent can be replaced by its sine and find the value of x. Enviar Respuesta Tries 0/5 If the two balls in the previous part are losing charge at the rate of 1e-9 C/s, at what instantaneous speed do the...
You have a light spring which obeys Hooke's law. This spring stretches 2.24 cm vertically when...
You have a light spring which obeys Hooke's law. This spring stretches 2.24 cm vertically when a 3.00 kg object is suspended from it. Determine the following. (a)the force constant of the spring (in N/m) N/m (b)the distance (in cm) the spring stretches if you replace the 3.00 kg object with a 1.50 kg object cm (c)the amount of work (in J) an external agent must do to stretch the spring 7.90 cm from its unstretched position J
Consider a spring of mass 1 Kg attached to a spring obeying Hooke's Law with spring...
Consider a spring of mass 1 Kg attached to a spring obeying
Hooke's Law with spring constant K
Problem 4. (15 pts) Consider a spring of mass 1 kg attached to a spring obeying Hooke's Law with spring constant k N/m. Suppose an external force F(t) = 2 cos 3t is applied to the mass, and suppose the spring experiences no damping. Suppose the spring can be displaced 0.2 m by a 1.8 N force. If the spring is stretched...
A block (mass 5 kg) oscillates on a spring (spring constant 180 N/ m). At one...
A block (mass 5 kg) oscillates on a spring (spring constant 180 N/ m). At one moment, the block is 10 cm from its equilibrium position and is moving with a speed of 80 cm/s away from the equilibrium position. Determine the amplitude of this oscillation.
2. Consider the following physical situation: A spring that obeys Hooke's Law and has a known/given spring constant k has been compressed to half of its equilibrium length. It's anchored at o...
2. Consider the following physical situation: A spring that obeys Hooke's Law and has a known/given spring constant k has been compressed to half of its equilibrium length. It's anchored at one end while the other end pushes (but is not attached to) a block of mass m in the horizontal direction. The block is initially held in place. Once released, the block accelerates to the right and achieves a final speed of ve at the point when it leaves...
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...
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...
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...
force and Gravitational force Puntos:2 Two identical balls of mass 24 g are suspended from threads of length 1.1 m and carry equal charges of 19 nC as shown in the figure. Assume that 0 is so small that its tangent can be replaced by its sine and find the value of x. Enviar Respuesta Tries 0/5 If the two balls in the previous part are losing charge at the rate of 1e-9 C/s, at what instantaneous speed do the...
Consider a spring of mass 1 Kg attached to a spring obeying
Hooke's Law with spring constant K
Problem 4. (15 pts) Consider a spring of mass 1 kg attached to a spring obeying Hooke's Law with spring constant k N/m. Suppose an external force F(t) = 2 cos 3t is applied to the mass, and suppose the spring experiences no damping. Suppose the spring can be displaced 0.2 m by a 1.8 N force. If the spring is stretched...
2. Consider the following physical situation: A spring that obeys Hooke's Law and has a known/given spring constant k has been compressed to half of its equilibrium length. It's anchored at one end while the other end pushes (but is not attached to) a block of mass m in the horizontal direction. The block is initially held in place. Once released, the block accelerates to the right and achieves a final speed of ve at the point when it leaves...
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