A ball of mass m is pushed out by a compressed spring of spring constant k....
A ball of mass m is pushed out by a compressed spring of spring constant k. Both the ball and the spring are on a table (see the diagram below). The other end of the spring is fixed to the table, and the spring is initially compressed by x. The ball moves toward a wedge at the edge of the table and then launches off the wedge and falls on the ground. The heights of the table and the wedge are H and y, respectively. To answer the questions below, give the steps of your calculations and express your answer of v0 in terms of known quantities of m, g, k, x, y and H. Ignore any friction and air resistance.
A) What is the speed of the ball v0 when it takes off the wedge?
B) Determine the speed of the ball v1 right before the ball hits the ground.
C) For the information given so far, can you determine how high
the ball can get after leaving the wedge? If yes, determine the
height. If no, explain why you cannot and also list one piece of
information you would like to know in order to determine the
maximum height
Homework Answers
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A ball of mass m is pushed out by a compressed spring of 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?
2. Mass mi -10.0 kg is initially held against the spring of spring constant k-100 N/m....
2. Mass mi -10.0 kg is initially held against the spring of spring constant k-100 N/m. The spring is compressed a distance x 0.45 m. When released, m is fired towards a block of mass m2-4.4 kg initially at rest at the edge of a horizontal, frictionless table of height h-0.75 m. A ramp is placed at the end of the table. The ramp has a coefficient of kinetic friction μ.-0.25 and is a distance d-1.06 m long. The blocks...
help 2. Mass mi 10.0 kg is initially held against the spring of spring constant k...
help
2. Mass mi 10.0 kg is initially held against the spring of spring constant k 100 N/m. The spring is compressed a distance x 0.45 m. When released, m, is fired towards a block of mass m 4.4 kg initially at rest at the edge of a horizontal, frictionless table of height h- 0.75 m. A ramp is placed at the end of the table. The ramp has a coefficient of kinetic friction μ-0.25 and is a distance d...
A spring with spring constant k is positioned vertically and then compressed from its equilibrium length...
A spring with spring constant k is positioned vertically and then compressed from its equilibrium length by a distance Delta y (Figure 1). A ball of mass m is placed on top of the spring, and is launched into the air when the spring is released (this setup is similar to the projectile launcher seen earlier in the semester). The ball travels to a maximum height h_max. Using the Work-Kinetic Energy theorem, determine h_max in terms of the given variables...
a bowling ball of mass 1.7 kg is launched from a spring compressed by the distance...
a bowling ball of mass 1.7 kg is launched from a spring compressed by the distance d= 0.49 m at an angle of 45 degrees measured from the horizontal. It is observed that the ball reaches a maximum height of h= 4.8m, measured from the initial position of the ball. Let the gravitational potential energy be zero at the initial height of the bowling ball. Part A.) What is the spring constant k, in newtons per meter? Part B.) Calculate...
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...
9. A spring-loaded toy gun is used to shoot a ball of mass m-2.50 kg straight...
9. A spring-loaded toy gun is used to shoot a ball of mass m-2.50 kg straight up in the air, as shown below. The spring has spring constant k-500 NI/m. If the spring is compressed a distance of 20.0 centimeters from its equilibrium position y-0 and then released, the ball reaches a maximum height hmax (measured from the equilibrium position of the spring). There is no air resistance, and the ball never touches the inside of the gun. Assume that...
A vertical spring (ignore its mass), whose spring constant is 980 N/m, is attached to a table and is compressed 0.160 m
A vertical spring (ignore its mass), whose spring constant is 980 N/m, is attached to a table and is compressed 0.160 m. (a) What speed can it give to a 0.400 kg ball when released? (b) How high above its original position (spring compressed) will the ball fly?
Ball A (m 0.5 kg, I 0.7 MR2) is held at rest against a spring, compressed by a distance x-40 cm. The ball is released...
Ball A (m 0.5 kg, I 0.7 MR2) is held at rest against a spring, compressed by a distance x-40 cm. The ball is released and move along a frictionless surface (Ho 4 m) until it collides with ball B (m- 0.25 kg, I- 0.5 MR2) which is at rest. After the collision, the two balls roll down a track (which has friction!) and leaves the track at a height, H,- 1m. Ball B goes to a height of HB-5m...
1. 2. A spring-loaded toy gun is used to shoot a ball of mass M straight...
1. 2. A spring-loaded toy gun is used to shoot a ball of mass M straight up in the air. The ball is not attached to the spring. The ball is pushed down onto the spring so that the spring is compressed a distance S below its unstretched point. After release, the ball reaches a maximum height 35, measured from the unstretched position of the spring (see diagram below). Maximum Height Spring unstretched Spring compressed Mass released from west will...
2. Mass mi -10.0 kg is initially held against the spring of spring constant k-100 N/m. The spring is compressed a distance x 0.45 m. When released, m is fired towards a block of mass m2-4.4 kg initially at rest at the edge of a horizontal, frictionless table of height h-0.75 m. A ramp is placed at the end of the table. The ramp has a coefficient of kinetic friction μ.-0.25 and is a distance d-1.06 m long. The blocks...
help
2. Mass mi 10.0 kg is initially held against the spring of spring constant k 100 N/m. The spring is compressed a distance x 0.45 m. When released, m, is fired towards a block of mass m 4.4 kg initially at rest at the edge of a horizontal, frictionless table of height h- 0.75 m. A ramp is placed at the end of the table. The ramp has a coefficient of kinetic friction μ-0.25 and is a distance d...
A spring with spring constant k is positioned vertically and then compressed from its equilibrium length by a distance Delta y (Figure 1). A ball of mass m is placed on top of the spring, and is launched into the air when the spring is released (this setup is similar to the projectile launcher seen earlier in the semester). The ball travels to a maximum height h_max. Using the Work-Kinetic Energy theorem, determine h_max in terms of the given variables...
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...
9. A spring-loaded toy gun is used to shoot a ball of mass m-2.50 kg straight up in the air, as shown below. The spring has spring constant k-500 NI/m. If the spring is compressed a distance of 20.0 centimeters from its equilibrium position y-0 and then released, the ball reaches a maximum height hmax (measured from the equilibrium position of the spring). There is no air resistance, and the ball never touches the inside of the gun. Assume that...
Ball A (m 0.5 kg, I 0.7 MR2) is held at rest against a spring, compressed by a distance x-40 cm. The ball is released and move along a frictionless surface (Ho 4 m) until it collides with ball B (m- 0.25 kg, I- 0.5 MR2) which is at rest. After the collision, the two balls roll down a track (which has friction!) and leaves the track at a height, H,- 1m. Ball B goes to a height of HB-5m...
1. 2. A spring-loaded toy gun is used to shoot a ball of mass M straight up in the air. The ball is not attached to the spring. The ball is pushed down onto the spring so that the spring is compressed a distance S below its unstretched point. After release, the ball reaches a maximum height 35, measured from the unstretched position of the spring (see diagram below). Maximum Height Spring unstretched Spring compressed Mass released from west will...
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