a)
total mechanical energy
Etot=(1/2)KA2
41.8=(1/2)*K*0.2882
K=1007.9 N/m
b)
at equilibrium point
KE=Etot=41.8 J
c)
41.8=(1/2)*m*3.452
m=7.02 kg
d)
E=(1/2)mV2+(1/2)Kx2
41.8 =(1/2)[7.02*V2+1007.9*0.162]
V=2.87 m/s
e)
U=(1/2)Kx2=(1/2)*1007.9*0.162=12.9 J
please show formulas A horizontal block-spring system with the block on a frictionless surface has total...
A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 53.7 ) and a maximum displacement from equilibrium of 0.200 m. (a) What is the spring constant? N/m (b) What is the kinetic energy of the system at the equilibrium point? (c) If the maximum speed of the block is 3.45 m/s, what is its mass? | kg (d) What is the speed of the block when its displacement is 0.160 m? m/s...
A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 40.8 J and a maximum displacement from equilibrium of 0.261 m. (a) What is the spring constant? N/m (b) What is the kinetic energy of the system at the equilibrium point? J (c) If the maximum speed of the block is 3.45 m/s, what is its mass? kg (d) What is the speed of the block when its displacement is 0.160 m? m/s...
4. Please answer parts c-g. Thank you A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E40.2J and a maximum displacement from equilibrium of 0.266 m. a) What is the spring constant? 1136.29 N/m b) What is the kinetic energy of the system at the equilibrium point c) If the maximum speed of the block is 3.45 m/s, what is its mass? kg d) What is the speed of the block when its displacement...
1. +-7 points SerCP11132.P015 My Notes Ask Your Teacher A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E40.4 J and a maximum displacement from equilibrium of 0.268 m. (a) What is the spring constant? N/m (b) What is the kinetic energy of the system at the equilibrium point? (c) If the maximum speed of the block is 3.45 m/s, what is its mass? kg (d) What is the speed of the block when...
A hockey puck oscillates on a frictionless, horizontal track while attached to a horizontal spring. The puck has mass 0.160 kg and the spring has force constant 8.00 N/m. The maximum speed of the puck during its oscillation is 0.350 m/s. What is the amplitude of the oscillation? What is the total mechanical energy of the oscillation? What is the potential energy of the puck when the displacement of the glider is 0.0300 m? What is the kinetic energy of...
A spring-block system sits on a horizontal, frictionless surface. The spring has a spring constant k =2000N/m. The mass of the block is 14.5 kg. The spring is stretched out a distance of 20.0 cm and released. The block undergoes simple harmonic motion with a phase constant φ=?. a) if the velocity of the block is -2.00 m/s at t= 0.150 s, what is the phase constant? b) determine the acceleration of the block at t = 0.150 s. c) what...
A 1.95 kg block slides with a speed of 0.850 m/s on a frictionless horizontal surface until it encounters a spring with a force constant of 818 N/m . The block comes to rest after compressing the spring 4.15 cm. Part A Find the spring potential energy, U, the kinetic energy of the block, K, and the total mechanical energy of the system, E, for compressions of 0 cm. Part B Find the spring potential energy, U, the kinetic energy...
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Please use the equation sheet. Write neat please. Draw a picture please (draw forces (FBD))Please show how you got the equation. Show step by step please. Box in answers please. Note: thermal expansion in (°C) gasses in (K) pressure in (pa) and volume in (m³) Q.4 A horizontal block-spring system with the block on a frictionless surface has total 30 mechanical energy equal to 47.0 J and a maximum displacement of 0.240 m from equilibrium position (a) What is the...
A 1.05 kg block slides on a frictionless, horizontal surface with an speed of 1.45 m/sec. The block encounters an unstretched spring with a spring constant of 285 N/m. 1)What is the initial kinetic energy of the block before it hits the spring? KE0 = 2)What is the potential energy of the mass and spring system when the spring is at its point of maximum compression? Umax = 3)How far is the spring compress before the block comes to rest?...