A light elastic string, of natural length 1m and modulus of elasticity 21.6 N has one end attached to a fixed point O. A particle of mass 2 kg is attached to the other end. The particle is held at a point which is 3 m vertically below O 4. and released from rest. Find (a) the speed of the particle when the string first becomes slack, i.e. when there is no tension in the string: (b) the distance from O when the particle first comes to rest.
Q: A block of mass m = 2.8 kg is dropped (starting from rest) from a height h = 0.81 meters above the…
A: Consider the top of the spring as the reference line. Apply principle of conservation of energy…
Q: A particle moves in one dimension (along the x-axis), where the potential energy is given by the…
A: The potential energy of the particle moving in one dimension is given as, Ux=Ax2+Bx Here, the…
Q: what is the speed of the box just before it hits the floor?
A: Given data: The top of table from floor is: h = 99 cm =0.99 m The mass of the box is: m = 6.25…
Q: An adventurous bungee jumper for mass 70 kg secures one end of her cord to a bridge that's high…
A:
Q: A wooden block with mass 1.85 kg is placed against a compressed spring at the bottom of a slope…
A: Part A. The distance between point A and B is d=7.55 m. So, according to the given conditions, the…
Q: In the figure, a spring with spring constant k = 160 N/m is at the top of a frictionless incline of…
A:
Q: A 710 g block is dropped from a altitude h above a physics spring of spring constant 400 N/m. The…
A: Given : Mass of the block, m = 710 kg Height h. Spring constant, k = 400 N/m Compression of the…
Q: A particle of mass m moves under the influence of a potential energy U(x)=a/x+bx where a and b are…
A: Given: Potential energy U(x)=ax+bx
Q: A particle that can move only along the positive x-axis is part of a system with potential energy…
A:
Q: A 2.00kg block is pushed against a spring with negligible mass and force constant k = 350 N/m ,…
A:
Q: A 1.2 kg block is held at rest against a spring with a force constant k = 750 N/m. Initially, the…
A:
Q: The figure shows a pendulum of length L = 1.7 m. Its bob (which effectively has all the mass) has…
A:
Q: air friction, the system oscillates by swinging back and forth in a vertical plane. If the string is…
A: Solution
Q: 15.28 The masses of the three blocks are mA = = 40 kg, mg = 16 kg, and mc = 12 kg. Neglect the mass…
A: The forces acting on block A along the moving direction are 1. The component of weight along the…
Q: A block on a horizontal spring slides along a horizontal frictionless surface. The mass of the black…
A: The mass of the block is given as .The spring constant of the block is The block is stretched a…
Q: Consider a block of mass 0.270 kg attached to a spring of spring constant 160 N/m. The block is…
A:
Q: spring with an elastic constant of 200 N / m is compressed horizontally by 10 cm with a 200 g ball…
A:
Q: A small anvil of mass, m= 10 kg is dropped from rest from a height H= 7.0 m above the top of a…
A: Given A small anvil of mass (m) = 10 kg The height it from dropped (H) = 7.0 m The spring…
Q: A box (mass = 100 g) is initially connected to a compressed (x = 80 cm) spring (k= 100 N/m) at point…
A:
Q: An object of mass M= 6.0 kg, initially at rest, is pressed against a spring with spring constant k…
A:
Q: If a 4-kg block is placed against the spring and the spring is released, what will be the speed of…
A: GIVEN: Mass of block =4 kg For the spring Work done =12kx2 where k is spring constant x…
Q: A block with mass m = 12.4 kg is pressed against a spring with spring constant 1.285E+4 N/m,…
A:
Q: A frictionless spring with a 6-kg mass can be held stretched 1.4 meters beyond its natural length by…
A:
Q: A 0.300-kg block along a horizontal track has a speed of 1.60 m/s immediately before colliding with…
A:
Q: The figure shows a pendulum of length L = 1.6 m. Its bob (which effectively has all the mass) has…
A:
Q: A 2.0 kg ball is launched by means of a vertically oriented spring with spring constant k = 16.0…
A:
Q: A toy car of mass m is pushed against a spring, compressing it a distance d from its natural rest…
A:
Q: In the figure, a spring with spring constant k = 180 N/m is at the top of a frictionless incline of…
A:
Q: A horizontal spring with force constant k = 665 N/m is attached to a wall at one end and to a…
A: a) Apply the energy conservation equation and substitute the required values to calculate the speed…
Step by step
Solved in 5 steps with 2 images
- A block with mass m = 19.1 kg is pressed against a spring with spring constant 2.720E+3 N/m, compressing the spring a distance of 0.130 m. It is then released from rest, moves across a frictionless horizontal surface, down a frictionless hill (vertical height h = 8.24 m), and onto a horizontal surface with friction μk = 0.287. How far (in m) will the block slide across the horizontal frictional surface before coming to rest?A 1.4 kg mass slides to the right on the surface having a coefficient of kinetic friction 0.25. The object of the speed of v(initial)=2.7 m/s when it makes contact with a light spring that has a force constant of 50 N/m. The object comes to rest after the spring has been compressed a distance d. The object is then forced toward the left by the spring and continues to move in that direction beyond the spring's unstretched position. Finally, the object comes to rest at distance D to the left of the unstretched spring. Find the distance of compression d. Find the speed v at the unstretched position when the object is moving to the left. Find the distance D where the object comes to rest.A block of mass, m = 0.5 kg is used to compress a spring with a spring con- 78.4 N/m a distance x from it's resting point. The block is then stant, k released and travels towards a circular loop of radius, R = 1.5 m. The loop and the surface as frictionless except for the region, of length 2.5 m, defined by AB which has a coefficient of friction, µk = 0.3. Determine the minimum compression of the spring that allows for the block to just make it through the loop-to-loop at point C (Hint: This problem is best done by starting at the end and working backwards). R k A В
- A simple pendulum of lengthL=0.972m with a bob of mass m=45.8g is pulled aside untilthe bob is at a height L/4 above its equilibrium position. Thebob is then released. Find the speed of the bob as it passesthrough a point where its height is L/7 above its equilibriumposition. What is the angle the pendulum makes with thevertical at this point?A 0.260-kg block along a horizontal track has a speed of 1.60 m/s immediately before colliding with a light spring of force constant 4.80 N/m located at the end of the track. (a) What is the spring's maximum compression if the track is frictionless? m (b) If the track is not frictionless, would the spring's maximum compression be greater than, less than, or equal to the value obtained in part (a)? O greater O less O equalA toy car of mass 2.0 kg starts at the top of an incline of angle 20.°. It travels 1.0 meter down the incline to a flat surface where it encounters a spring of spring constant, k = 5.0 N/m. (a) What is the car's speed at the bottom of the incline? (b) When the car encounters the spring, by how much does it compress (max) it? (c) The spring is removed and the car now encounters a second incline as shown. What is the maximum distance the car travels up this second incline?
- A spring with k = 15 N/m with equilibrium length 30 cm is attached vertically to a surface and then allowed to come to equilibrium, after which a weight with mass 0.2 kg is attached to the top side of the spring. → What is the speed of the weight when it first reaches the new equilibrium height?A block of mass m = 2.00 kg is attached to a spring of force constant k = 440 N/m as shown in the figure below. The block is pulled to a position x:= 5.70 cm to the right of equilibrium and released from rest. x=0 x = x; (a) Find the speed the block has as it passes through equilibrium if the horizontal surface is frictionless. m/s (b) Find the speed the block has as it passes through equilibrium (for the first time) if the coefficient of friction between block and surface is μ = 0.350. m/sAssume a small box (m = 222 g) slides along a frictionless ¼ circle track of radius R = 1.00 m onto a horizontal plane and into a spring of spring constant k = 55.5 N/m as shown in the following figure. The plane has a coefficient of friction that changes along the plane µ(x) = 0.200 x + 0.300. L in the figure below = 0.333 m. 1. What maximum distance does the spring compress through?