1.) AT the top of a 30 m hill is a 5kg mass. It is loaded...
1.) AT the top of a 30 m hill is a 5kg mass. It is loaded into a spring cannon. The cannon's spring has a constant k=400 N/m and the spring is compressed 40cm. The mass is initially at rest. Therefore there is no friction.
(A.) What was the stored energy in the spring before it was released?
(B.) What was the gravitational potential energy of the mass with respect to the bottom of the hill?
(C.) What was the kinetic energy of the mass when it is at the bottom of the hill?
(D.) What is the velocity of the mass when it is at the bottom of the hill?
(E.) What is the ratio of Energy before/Energy after?
Homework Answers
5. A 1000-kg car is at the top of a hill as shown, where its elevation...
5. A 1000-kg car is at the top of a hill as shown, where its elevation above the bottom of the hill is 120 m. a. What is its gravitational potential energy? 120 m b. If the cart starts from rest and rolls down the hill with negligible friction and air resistance, what will its kinetic energy be when it reaches the bottom? c. What will be its speed when it reaches the bottom? Suppose instead that there is noticeable...
A block of mass m = 3.5 kg is attached to a spring with spring constant...
A block of mass m = 3.5 kg is attached to a spring with spring constant k = 520 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 21° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.16. In the initial position, where the spring is compressed by a distance of d = 0.14 m, the mass is at...
A block of mass m = 4.5 kg is attached to a spring with spring constant k = 710 N/m.
A block of mass m = 4.5 kg is attached to a spring with spring constant k = 710 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 25° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk=0.18. In the initial position, where the spring is compressed by a distance of d = 0.12 m, the mass is at its lowest...
A block of mass m = 3.5 kg is attached to a spring with spring constant k = 780 N/m
A block of mass m = 3.5 kg is attached to a spring with spring constant k = 780 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 28° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.19. In the initial position, where the spring is compressed by a distance of d = 0.19 m, the mass is at...
Problem Set 2 (15 pts./ea) onstant of 6 N/m has a mass of 5kg attached weakly...
Problem Set 2 (15 pts./ea) onstant of 6 N/m has a mass of 5kg attached weakly to it. A spring having a spring c The spring is compressed by 4m. a). What is the speed of the mass when the spring is released? b).The floor the mass is sliding on has a coefficient of kinetic friction of 1. s to for the mass to come to a stop?
A 6.80-g steel ball is fired from a spring-loaded cannon. The spring (k = 50 N/m)...
A 6.80-g steel ball is fired from a spring-loaded cannon. The spring (k = 50 N/m) is compressed 9.0 cm before launching the ball at a 45˚ angle. What is the velocity of the ball when launched? How far will it go? What is its kinetic energy at the top of its trajectory?
A horizontal mass of M=5kg is on a spring and stretched to x=0.5m when released from...
A horizontal mass of M=5kg is on a spring and stretched to x=0.5m when released from rest. The system oscillates with a period of T=2s A.) what is the total energy in the system? B.) we turn on friction. The coefficient of friction between the block and the table is 0.2. When is system settles down and the mass stops moving, how much energy does a system have? (Hint : it's not zero a free body diagram might be helpful.)...
1 45 kg is released from rest from the top of a rough ramp, with Mass...
1
45 kg is released from rest from the top of a rough ramp, with Mass - coefficient of kinetic friction 0.25 between the block and the incline, of height 3.2 m and length d 5.5 m. At the bottom of the ramp, the mass slides on a horizontal, frictionless surface until it compresses a spring of spring constant k 2. 110 N/m. a. Calculate the speed of the mass at the bottom of the ramp? b. How far does...
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...
a block with a mass of 2.5 kg starts from rest at the top of the...
a block with a mass of 2.5 kg starts from rest at the top of the
apparatus shown below. it then slides without friction down the
incline, and collides with a spring attached to a wall. The spring
has a spring constant of K=120N/m. Using the principle of energy
conservation,
a. find the initial gravitational potential energy of the block
at point A
b. find the kinetic energy of the block at point B
c. what is the velocity of...
5. A 1000-kg car is at the top of a hill as shown, where its elevation above the bottom of the hill is 120 m. a. What is its gravitational potential energy? 120 m b. If the cart starts from rest and rolls down the hill with negligible friction and air resistance, what will its kinetic energy be when it reaches the bottom? c. What will be its speed when it reaches the bottom? Suppose instead that there is noticeable...
Problem Set 2 (15 pts./ea) onstant of 6 N/m has a mass of 5kg attached weakly to it. A spring having a spring c The spring is compressed by 4m. a). What is the speed of the mass when the spring is released? b).The floor the mass is sliding on has a coefficient of kinetic friction of 1. s to for the mass to come to a stop?
1
45 kg is released from rest from the top of a rough ramp, with Mass - coefficient of kinetic friction 0.25 between the block and the incline, of height 3.2 m and length d 5.5 m. At the bottom of the ramp, the mass slides on a horizontal, frictionless surface until it compresses a spring of spring constant k 2. 110 N/m. a. Calculate the speed of the mass at the bottom of the ramp? b. How far does...
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...
a block with a mass of 2.5 kg starts from rest at the top of the
apparatus shown below. it then slides without friction down the
incline, and collides with a spring attached to a wall. The spring
has a spring constant of K=120N/m. Using the principle of energy
conservation,
a. find the initial gravitational potential energy of the block
at point A
b. find the kinetic energy of the block at point B
c. what is the velocity of...
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