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CE A Hooke's Law 1. Suppose the spring in Sample Problem A is replaced with a...
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 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...
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...
When a 2.00-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.78 cm. (a) What is the force constant of the spring? N/m (b) If the 2.00-kg object is removed, how far will the spring stretch if a 1.00-kg block is hung on it? cm (c) How much work must an external agent do to stretch the same spring 9.00 cm from its unstretched position?
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 2.50-kg object is hung vertically on a certain light
spring described by Hooke's law, the spring stretches 2.38 cm.
(a) What is the force constant of the spring? _________N/m?
(b) How much work must an external agent do to stretch the same
spring 7.60 cm from its unstretched position?_________J?
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A 620-kg elevator starts from rest and moves upward for 3.00 s
with constant acceleration until it reaches its cruising speed,
1.63 m/s.
(b) How does this amount...
When a 3.70-kg object is hung vertically on a certain light spring that obeys Hooke's law, the spring stretches 2.60 cm. (a) If the 3.70-kg object is removed, how far will the spring stretch if a 1.50-kg block is hung on it? --------------------- 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 2.30-kg object is hung vertically on a certain light spring described by Hooke's law, the spring stretches 2.98 cm. (b) If the 2.30-kg object is removed, how far will the spring stretch if a 1.15-kg block is hung on it? (c) How much work must an external agent do to stretch the same spring 7.00 cm from its unstretched position?
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...
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...