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One end of a spring is attached to a solid wall while the other end just reaches to the edge of a horizontal frictionless table top, which is a distance h above the floor. A block of mass m is placed against the end of the spring and pushed toward the wall until the spring has been compressed a distance x, as show in the diagram. The block is released, followed the trajectory shown, and strives the floor a horizontal distance D from the edge of the table. Determine expressions for the following quantities in terms of M,X, D, h, and g.
a) the time elapsed from the instant the block leaves the table to the instant it strikes the floor
b) the horizontal component or the velocity of the block just before it strikes the floor
c) the work done on the block by the spring
d) the spring constant
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- As shown in the figure below, a 2.25 kg block is released from rest on a ramp of height h = 0.650 m. 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 μ = 0.800. Find the block’s kinetic energy after crossing the rough patch.A Ballistic Spring is like a Ballistic Pendulum, but it uses elastic potential energy instead of gravitational potential energy to measure the incident velocity of a projectile. Questions 4 and 5 refer to the Ballistic Spring shown below, where a projectile of mass m travelling with an initial velocity v impacts and travels through a block with mass M, emerging with a velocity , and causing the spring with constant k that is attached to the block to be compressed a distance d. m Vo Before M wwwww M Wowwwww AfterPlease asap
- In the figure below, a block of m= mass 19 kg is released from rest on a frictionless incline angled of angle theta= 30 degrees. Below the block is a spring that can be compressed 2.0cm by a force of 240 N. The block momentairly stops when it compresses the spring by 5.6cm. A) How far has the block moved down the incline to this stopping point? B) What is the speed of the block just as it touches the spring?A hockey puck is given an initial speed of 4.8 m/s If the coefficient of kinetic friction between the puck and the ice is 0.05, how far does the puck slide before coming to rest? Solve this problem using conservation of energy.Express your answer with the appropriate units.A spring, with spring constant k = 1960 N, is mounted vertically on a table as shown in the figure. A block of mass m = 2.0 kg is dropped from a height h and falls on the spring compressing it by a distance d = 11 cm. From what height, h, above the spring, was the block released from rest? h d
- Two objects (m1 = 4.70 kg and m2 = 2.85 kg) are connected by a light string passing over a light, frictionless pulley as in the figure below. The 4.70-kg object is released from rest at a point h = 4.00 m above the table. answer all of the follwing parts (a) Determine the speed of each object when the two pass each other. m/s(b) Determine the speed of each object at the moment the 4.70-kg object hits the table. m/s(c) How much higher does the 2.85-kg object travel after the 4.70-kg object hits the table?As shown in the figure below, a 2.25 kg block is released from rest on a ramp of height h. rough patch mummy 15.0 cm 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 μ = 0.770. Find h (in m) such that the block's speed after crossing the rough patch is 3.80 m/s. mOne end of a spring is attached to a solid wall while the other end just reaches to the edge of a horizontal, frictionless tabletop, which is a distance h above the floor. A block of mass M is placed against the end of the spring and pushed toward the wall until the spring has been compressed a distance X, as shown above. The block is released, follows the trajectory shown, and strikes the floor a horizontal distance D from the edge of the table. Air resistance is negligible. Determine the time elapsed from the instant the block leaves the table to the instant it strikes the floor.
- As shown in the figure below, a 2.25 kg block is released from rest on a ramp of height h. rough patch 15.0 cm 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 u, = 0.690. Find h (in m) such that the block's speed after crossing the rough patch is 3.50 m/s. (Enter a number.) mAs 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 u, = 0.730. Find h such that the block's speed after crossing the rough patch is 3.70 m/s. rough patch 15.0 cmA sledgehammer of mass m = 1.9 kg falls freely vertically downward from a height of h = 2.5 m at an initial speed of v = 6.5 m/s before striking a partially buried piling. After the blow the piling has moved d = 0.075 m deeper. How much force, in newtons, was applied to the piling? Assume all the energy goes towards driving the piling into the ground, and the force of the sledgehammer is constant over the distance d that the piling is driven into the ground. Note that you can ignore the change in potential energy of the piling itself. Further, because d is so small compared to h, you can also ignore the change in potential energy of the hammer as well as it moves distance d.