What equation is used to calculate the speed, v, up the plane?
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A block of mass m is attached to a spring (constant k), sliding on a frictionless incline (angle theta), with respect to the horizontal. The spring begins compressed at a distance x and is released from rest. The block travels past an equilibrium point (point B) and has speed v, traveling up the plane. What equation is used to calculate the speed, v, up the plane?
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- A pendulum consists of a small object hanging from the ceiling at the end of a string of negligible mass. The string has a length of 0.79 m. With the string hanging vertically, the object is given an initial velocity of 2.8 m/s parallel to the ground and swings upward in a circular arc. Eventually, the object comes to a momentary halt at a point where the string makes an angle with its initial vertical orientation and then swings back downward. Find the angle 0. Number i UnitsA 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 15.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a strong spring with k = 2.90 ✕ 104 N/m.The block slides 3.00 m from the point of release to the point where it comes to rest against the spring. When the block comes to rest, how far has the spring been compressed?
- The block in the figure lies on a horizontal frictionless surface, and the spring constant is 42 N/m. Initially, the spring is at its relaxed length and the block is stationary at position x = 0. Then an applied force with a constant magnitude of 3.0 N pulls the block in the positive direction of the x axis, stretching the spring until the block stops. When that stopping point is reached, what are (a) the position of the block, (b) the work that has been done on the block by the applied force, and (c) the work that has been done on the block by the spring force? During the block's displacement, what are (d) the block's position when its kinetic energy is maximum and (e) the value of that maximum kinetic energy? x=0 Ę = 0 0000000 Block attached to spring (a) Number Units (b) Number Units (c) Number Units (d) Number Units (e) Number Units X > > >The coefficient of kinetic friction between the m (kg) crate and the plane is u = 0.25. Initially the spring is compressed at x (m) and the crate is at rest. The initial state is at h =0 m. Find the equation that will define the distance d the crate will travel upward and be again at rest. k = 2 kN/m and e (degrees) is the angle between the plane and the horizontal. g = 9.81 m/s². O mx? /(9.81 * m * cos0 + 0.25 * 9.81 * m * sind) m O mx? /(9.81 * m * sind) m O mx? /(9.81 * m * sino + 0.25 * 9.81 * m * cos0) m O Imx? /(9.81 * m * cos0 0.25 *9.81 * m* sino) m Clear my choiceA block of mass 14.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a strong spring with k = 2.30 ✕ 104 N/m.The block slides 3.00 m from the point of release to the point where it comes to rest against the spring. When the block comes to rest, how far has the spring been compressed?
- A box is pressed against a horizontal spring, compressing the spring from its relaxed length. The box is then released and the spring launches the box horizontally along a track that ends in a ramp, as shown above. The box has enough speed to leave the ramp, and the box reaches a maximum vertical height above the floor. Assume there is negligible friction between the box and the track and air resistance is negligible. K = spring constant of spring X = distance the spring is compressed M = mass box Theta = angle of ramp from horizontal H = maximum height reached by box The scenario is repeated using a different box with a greater mass. The spring is compressed the same distance x. Indicate how h in this second scenario compares to h in the original scenario, and explain why without mathematically deriving a relation for h. Students derive an equation for h in the original scenario, h= (sin2theta)kx2/2Mg, which may or may not be correct. Is this equation consistent with your claim…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?An m = 12.0kg block is released from rest on a frictionless incline that makes an angle of 0 = 27.0°, as shown in the figure. Below the block is a spring that has a spring constant of 1.55 × 10¹ N/m. The block momentarily stops when it compresses the spring by 5.50 cm. How far I does the block move down the incline from its release point to the stopping point? Answer in units of centimeters. m eeeeeee 0
- As shown in the figure below, a 2.25 kg block is released from rest on a ramp of height h. When the block is released, it slides without friction to the bottom of the ramp, and then continues across a surface that is frictionless except for a rough patch of width 15.0 cm that has a coefficient of kinetic friction ?k = 0.510. Find h (in m) such that the block's speed after crossing the rough patch is 3.60 m/s. (Enter a number.)?mA block with mass m = 2.20 kg is placed against a spring on a frictionless incline with angle e = 30.0°. (The block is not attached to the spring.) The spring, with spring constant k = 21.0 N/cm, is compressed 17.0 cm and then released. (a) What is the elastic potential energy of the compressed spring? (b) What is the change in the gravitational potential energy of the block-Earth system as the block moves from the release point to its highest point on the incline? (c) How far along the incline is the highest point from the release point?How far the block will compress the spring after fall back from its maximum height?