A block of mass m sits at rest against a spring, which has spring constant k...
A block of mass m sits at rest against a spring, which has spring constant k and is compressed an amount of deltax from its equilibrium length. The spring is released, and the block slides along the smooth ground before reaching a ramp that makes an angle theta with respect to the ground.
a) What is the maximum distance along the length of the ramp that the block will slide? GIve your answer in terms of the variables given.
b) Find an expression for the power that the force of gravity extracts from the block as it slides up the ramp. You may only use the given variables, as well as a variable representing the displacement along the ramp.
c) Using the expression you found in part (b), write an integral equation that will yield the change in gravitational potential energy of the block at some arbitrary time after it starts up the ramp. You do not need to solve the integral, but it must only include the given variables (not including the variable representing the distance up the ramp) and common physical constants.
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A block of mass m sits at rest against a spring, which
has spring constant k...
A block of mass m is pushed against a spring of spring constant k. The spring...
A block of mass m is pushed against a spring of spring constant k. The spring is compressed by a distance d, the block is then released. It is launched by the spring along a horizontal frictionless surface with a final speed v. A second block, this one having mass 9m is pushed against the same spring and released, gaining a final speed 3v. By what distance was the spring compressed in the second case?
A block of mass 3 kg is pushed against a spring of spring constant 3000 N/m....
A block of mass 3 kg is pushed against a spring of spring constant 3000 N/m. Initially, the spring is compressed by a distance of 0.220 m, when the block is released from rest and travels along a horizontal frictionless surface before encountering a frictionless ramp, inclined at an angle of 37° above the horizontal. How far along the ramp does the block travel before momentarily coming to rest?
6. Consider a horizontal spring with spring constant k. A block with mass m is pushed...
6. Consider a horizontal spring with spring constant k. A block with mass m is pushed far to the left against the spring until the spring is compressed a distance r relative to its relaxed length. A second block, which is stationary and also has a mass m, is located to the right of the spring im rrm a) We release the first block from rest. Due to the force from the spring, it slides to the right and eventually...
Problem 8.21 Part A When a mass m sits at rest on a spring, the spring...
Problem 8.21 Part A When a mass m sits at rest on a spring, the spring is compressed by a distance d from its undeformed length. Suppose instead that the mass is released from rest when it barely touches the undeformed spring. (Figure 1) Find the distance D that the spring is compressed before it is able to stop the mass. Express your answer in terms of some or all of the variables m and d. Submit My Answers Give...
6. Consider a horizontal spring with spring constant k. A block with mass m is pushed far to the left against the spring until the spring is compressed a distance r relative to its relaxed length. A...
6. Consider a horizontal spring with spring constant k. A block with mass m is pushed far to the left against the spring until the spring is compressed a distance r relative to its relaxed length. A second block, which is stationary and also has a mass m, is located to the right of the spring im rrm a) We release the first block from rest. Due to the force from the spring, it slides to the right and eventually...
4. (15 pts) A small block with a mass 'm', is released from rest at an...
4. (15 pts) A small block with a mass 'm', is released from rest at an initial height 'h'. the mass slides down a ramp and then through a 'dip' with a given radius of curvature '. at the lowest point of the curve, the mass as a velocity of vc (velocity at curve). The mass continues back up and eventually slides over a friction patch of length 'd' when it eventually reaches an uncompressed spring. The mass compresses the...
A spring-block system sits on a horizontal, frictionless surface. The spring has a spring constant k...
A spring-block system sits on a horizontal, frictionless surface. The spring has a spring constant k =2000N/m. The blocks mass is 10.0kg. The mass of the spring is negligible. The spring is stretched out a distance of 20.0 cm and released. The block undergoes simple harmonic motion with a phase constantf= 1.35 rad. a) determine the timeit takes for the spring to be compressed 6.50cm after it was released b) determine the acceleration of the black at t = 1.50 s.
Problem 6: A block of mass m rests against a spring with a spring constant of...
Problem 6: A block of mass m rests against a spring with a spring constant of k on an inclined plane which makes an angle of 0 degrees with the horizontal. Assume the spring has been compressed a distance d from its neutral position. Refer to the figure. Idl м tus Ctheexpertt eted eted eted eted eted Set your coordinates to have the x-axis along the surface of the plane, with up the plane as positive, and the y-axis normal...
1. (30 points) A 2-kg block A is pushed up against a spring compressing it a distance r-0.1 m (i.e., the spring is unattached to the block). The block is then released from rest and slides down t...
1. (30 points) A 2-kg block A is pushed up against a spring compressing it a distance r-0.1 m (i.e., the spring is unattached to the block). The block is then released from rest and slides down the 20° incline u it strikes a 1-kg sphere B that is suspended from a 1-m inextensible rope. The spring constant 800 N/m, the coefficient of friction between A and the ground i length of the spring d-1.5, and the coefficient of restitution...
A 4 kg block is compressing a spring (k=555N/m) by 0.2m. The block stays in place...
A 4 kg block is compressing a spring (k=555N/m) by 0.2m. The block stays in place until someone takes their hand away from the block. The block then slides on the frictionless ground for 2m and then slides up a 30degree ramp and hits another block (2kg) that is 0.5m up the ramp (diagonally). The 2kg block gains a speed of 0.6m/s up the incline right after the collision. Determine the velocity of the 2kg before the collision.
6. Consider a horizontal spring with spring constant k. A block with mass m is pushed far to the left against the spring until the spring is compressed a distance r relative to its relaxed length. A second block, which is stationary and also has a mass m, is located to the right of the spring im rrm a) We release the first block from rest. Due to the force from the spring, it slides to the right and eventually...
Problem 8.21 Part A When a mass m sits at rest on a spring, the spring is compressed by a distance d from its undeformed length. Suppose instead that the mass is released from rest when it barely touches the undeformed spring. (Figure 1) Find the distance D that the spring is compressed before it is able to stop the mass. Express your answer in terms of some or all of the variables m and d. Submit My Answers Give...
6. Consider a horizontal spring with spring constant k. A block with mass m is pushed far to the left against the spring until the spring is compressed a distance r relative to its relaxed length. A second block, which is stationary and also has a mass m, is located to the right of the spring im rrm a) We release the first block from rest. Due to the force from the spring, it slides to the right and eventually...
4. (15 pts) A small block with a mass 'm', is released from rest at an initial height 'h'. the mass slides down a ramp and then through a 'dip' with a given radius of curvature '. at the lowest point of the curve, the mass as a velocity of vc (velocity at curve). The mass continues back up and eventually slides over a friction patch of length 'd' when it eventually reaches an uncompressed spring. The mass compresses the...
Problem 6: A block of mass m rests against a spring with a spring constant of k on an inclined plane which makes an angle of 0 degrees with the horizontal. Assume the spring has been compressed a distance d from its neutral position. Refer to the figure. Idl м tus Ctheexpertt eted eted eted eted eted Set your coordinates to have the x-axis along the surface of the plane, with up the plane as positive, and the y-axis normal...
1. (30 points) A 2-kg block A is pushed up against a spring compressing it a distance r-0.1 m (i.e., the spring is unattached to the block). The block is then released from rest and slides down the 20° incline u it strikes a 1-kg sphere B that is suspended from a 1-m inextensible rope. The spring constant 800 N/m, the coefficient of friction between A and the ground i length of the spring d-1.5, and the coefficient of restitution...
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