A force of 200 newtons stretches a spring 2 meters. A mass of 50 kg is attached to the end of aspring and is initially released from the equilibrium position with an upward velocity of 10 m/s. Find the equation of motion.
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A: Mass of the block is m=12.5 kg Spring constant of the spring is k=43.0 N/m Releasing distance of the…
Q: The block in the figure below rests on a frictionless surface. Find its instantaneous acceleration…
A: Compression in left spring = 4.42cm Stretching in right spring = 11.5cm Mass of box= 2kg
Q: m x=0 x = x₂ i (a) Find the speed the block has as it passes through equilibrium if the horizontal…
A: Mass(m) = 2 kg Expansion (xi)= 4.60 cm Spring constant (k) = 550 N/m
Q: The block in the figure below rests on a frictionless surface. Find its instantaneous acceleration…
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Q: As shown in the figure below, a box of mass m = 6.00 kg is sliding across a horizontal frictionless…
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Q: A spring of negligible mass stretches 3.00 cm from its relaxed length when a force of 7.10 N is…
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Q: A spring of negligible mass stretches 3.46 cm from its relaxed length when a force of 5.40 N is…
A: Stretch in the spring is dx=3.46 cm = 0.0346 m Applied force is F = 5.40 N Mass of the particle is m…
Q: A bullet with mass 5.24 g is fired horizontally into a 1.905-kg block attached to a horizontal…
A: Both bullet and the block travels at the same speed after the bullet hits the block. The kinetic…
Q: A spring with a constant of 730 N/m is compressed by a block of mass m = 1.2 kg. When the block is…
A: m = 1.2 kg k = 730 N/m L = 0.05 m coefficient of kinetic friction = 0.44 v = 2.3 m/s Using equation…
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Q: A spring has a constant of 31 N/m while hanging on a ceiling hook. A 520g toy is then attached to…
A: Given, k=31 N/mm=520 g
Q: A frictionless spring with a 8-kg mass can be held stretched 1.2 meters beyond its natural length by…
A: Solution: The restoring force applied by the spring is 100N and a retarding force equal to twice its…
Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 590 N/m as shown in the…
A: The energy stored in spring will be transformed into the kinetic energy of the block when it reaches…
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A: Since the extension in spring of 4m brings about a force with magnitude 105 N, so the spring…
Q: A 11.7-kg block is held at rest against a spring by a 53.0-N external force. The external force is…
A: Given: The mass of the block is 11.7 kg. The external force is 53.0 N. The velocity of the block…
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A: Given, The taptap is fully loaded with 26 people.The average mass of one person Mass of 26 people…
Q: A 0.55 kg block attached to a spring with force constant 140 N/m is free to move on a frictionless,…
A: mass of block (m) = 0.55 kg force constant (k) = 140 N/mInitial stretch of spring (A) = 0.13 m
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A: The mass is attached to the spring and the block is pulled to a position.The question aims to…
Q: A 2.50-kg mass is attached to a vertical spring with spring constant, k=96.0 N/m and allowed to…
A: Given: The mass of the object is 2.5 kg. The spring constant is 96 N/m. The amplitude of the system…
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Q: A 1 kg cylinder rests on a spring k = 100 N/m. A force of 90N is applied from an equilibrium…
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Q: A marble with a mass of 0.085 kg compresses a spring 5.1 cm. If the spring has a constant k = 150…
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- A0.62 kg mass is held against the a compressed spring and released from rest. The linear spring is positioned horizontally across a frictionless surface. It has a spring constant of 609 N/m and is initially compressed by a distance of 0.134 m from its equilibrium position. With what speed does the mass leave the spring?A mass of 0.4 kg is held against compressed spring and released from rest while upon a horizontal, frictionless surface. The spring constant of the spring is 890 N/m and the mass leaves the spring with a speed of 7.51 m/s. Assume that the spring pushes the mass across the surface. By what amount was the spring initially compressed relative to its equilibrium position?A 50 g mass on the end of a horizontal spring( k=80 N/m) is moving at a speed of 2m/s when 3.4cm from equilibrium. What is the maximum acceleration experienced by the mass?
- A block is hung from the end of a spring with spring constant 15 N/m and made to vibrate up and down with a maximum speed of 0.4m/s. The spring is held up by a force sensor, which is set to read 0N when the block is at rest on the end of the spring. The graph attached belwo shows the reading on the force sensor over time as the block vibrates. Plot the position-time and velocity-time graphs for the blocks as it vibrates. Explain with work and in words how you determined the shapes of these as well as their amplitudes.A Huntress fires a bullet into a 3-kg wooden block resting on a smooth surface, and attached to a spring of spring constant 715. N/m. The bullet, whose mass is 7 g, remains embedded in the wooden block. She measures the maxumum distance that the block compresses the spring to be 4.50 cm. What is the speed of the bullet (in m/s)? (So the block is at equalibrium on a horizontal surface with a spriing attatched to the one side, which is then attatched to the wall. What equation am I able to use to find the speed of the bullet?)A stiff spring k = 666 N/m has be attached to the floor vertically. A mass of 6.66 kg is placed on top of the spring as shown below and it finds a new equilibrium point. If the block is pressed downward and released it oscillates. If the compression is too big, however, the block will lose contact with the spring at the maximum vertical extension. Draw a free body diagram and find that extension at which the block loses contact with the spring.
- A mass of 0.50 kg is held against compressed spring and released from rest while upon a horizontal, frictionless surface. The spring constant of the spring is 790 N/m and the mass leaves the spring with a speed of 7.84 m/s. Assume that the spring pushes the mass across the surface. By what amount was the spring initially compressed relative to its equilibrium position? 0.197A 2.00kg block is pushed against a spring with negligible mass and force constant k = 435 N/m , compressing it 0.215 m. When the block is released, it moves along a frictionless, horizontal surface. Find its velocity after the release?A 5.75-kg mass stretches a vertical spring 0.5 m. If the spring is stretched an additional 1 m and released, how long does it take to reach the (new) equilibrium position again? (How do I find the amount of time?)
- An object has a mass of 0.5 kg is placed in front of a compressed spring. When the spring was released, the 0.5kg object collides with another object with mass 1.5kg and they move together as one unit. Find the velocity of boxes if the spring constant is 40N/m, and spring. was initially compressed by 20cm. Answer with text and/or attachments:A spring with a spring constant of 112 N/m has a mass hung on it so that it stretches 1.2 cm. Calculate how much mass the spring is supporting.Please answer this University Physics Question.