A block of mass m begins at rest at the top of a ramp at elevation...

A block of mass m begins at rest at the top of a ramp at elevation h with whatever PE is associated with that height. The block slides down the ramp over a distance d until it reaches the bottom of the ramp. How much of its original total energy (in J) survives as KE when it reaches the ground? (In other words, the acceleration is not zero like it was in lab and friction does not remove 100% of the original PE. How much of that original energy is left over after the friction does work to remove some?) m = 8.5 kg h = 5.5 m d = 5 m μ = 0.3 θ = 36.87°

Solutions

Expert Solution

PE =mgh

=(8.5)(9.8)(5.5)

=45815 J

Frictional force Fr= Nuk

=u_km g sin theta

= 0.3 (8.5 kg)(9.81 m/sec^2 )( sin 36.87)

=15.00 N

Work done by friction = frd

= 15(5.5)

=82.55 J

Remaining energy to be converted to KE = 45815 J- 82.55 J = 45723.45 J

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

A block of mass M sits at rest at the top of a frictionless curved ramp...

A block of mass M sits at rest at the top of a frictionless curved ramp of height h. After being released, the block is moving with speed 4v when it collides with a block of mass 1.5M at the bottom of the ramp. Immediately following the collision, the larger block has a speed 2v. The second block is attached to a vertical rope, and swings freely as a pendulum after the collision. The pendulum string has length L. a)...

A block of mass m1 = 1 kg is initially at rest at the top of...

A block of mass m1 = 1 kg is initially at rest at the top of an h1 = 1 meter high ramp, see Fig. 2 below. It slides down the frictionless ramp and collides elastically with a block of unknown mass m2, which is initially at rest. After colliding with m2, mass m1 recoils and achieves a maximum height of only h2 = 0.33 m going back up the frictionless ramp. (HINT: Solving each part in sequence will guide...

A toy car with a mass of 1 kg starts from rest at the top of a ramp at point A.

A toy car with a mass of 1 kg starts from rest at the top of a ramp at point A. The toy car is released from rest, rolls 2.0 meters down the ramp, then another 3.0 meters across the floor to point B where its speed is measured to be 4.24 m/s. The air exerts a resistance force of 2.0 N on the car as it moves from A to B. Find the initial height of the car at...

In the figure, block 1 of mass m1 slides from rest along a frictionless ramp from...

In the figure, block 1 of mass m1 slides from rest along a frictionless ramp from height h = 2.2 m and then collides with stationary block 2, which has mass m2 = 4m1. After the collision, block 2 slides into a region where the coefficient of kinetic friction μk is 0.55 and comes to a stop in distance d within that region. What is the value of distance d if the collision is (a) elastic and (b) completely inelastic?

In the figure, block 1 of mass m1 slides from rest along a frictionless ramp from...

In the figure, block 1 of mass m1 slides from rest along a frictionless ramp from height h = 3.3 m and then collides with stationary block 2, which has mass m2 = 5m1. After the collision, block 2 slides into a region where the coefficient of kinetic friction μk is 0.2 and comes to a stop in distance d within that region. What is the value of distance d if the collision is (a) elastic and (b) completely inelastic?

A block of mass m = 2.1 kg slides down a 36 ° inclined ramp that...

A block of mass m = 2.1 kg slides down a 36 ° inclined ramp that has a height h = 3.1 m. At the bottom, it hits a block of mass M = 7.1 kg that is at rest on a horizontal surface. Assume a smooth transition at the bottom of the ramp. If the collision is elastic and friction can be ignored, determine the distance the mass m will travel up the ramp after the collision.

Beginning from rest, an object of mass 200 kg slides down a 9-m-long ramp. The ramp...

Beginning from rest, an object of mass 200 kg slides down a 9-m-long ramp. The ramp is inclined at an angle of 20o from the horizontal. Air resistance and friction between the object and the ramp are negligible. Let g = 9.81 m/s2. Determine the kinetic energy of the object, in kJ, and the velocity of the object, in m/s, at the bottom of the ramp.

A block of mass M = 4.0kg is released from rest at point A as shown....

A block of mass M = 4.0kg is released from rest at point A as shown. Part AB of the track is frictionless and is one quarter of a circle of radius R=1.25m. The horizontal part of the track BC is rough with co-efficient of kinetic friction . The block comes to rest at C after moving a distance L = 6.25m. The block can be treated as a point particle. [a] What is the speed (in m/s) of M...

In Figure 9-69, block 1 of mass m1 slides from rest along a frictionless ramp from...

In Figure 9-69, block 1 of mass m1 slides from rest along a frictionless ramp from height h and then collides with stationary block 2, which has mass m2 = 3m1. After the collision, block 2 slides into a region where the coefficient of kinetic friction is μk and comes to a stop in distance d within that region. What is the value of distance d if the collision is (a) elastic and (b) completely inelastic? Express your answer in...

A 35.0-kg crate is initially at rest at the top of a ramp that is inclined...

A 35.0-kg crate is initially at rest at the top of a ramp that is inclined at an angle θ = 30◦ above the horizontal. You release the crate and it slides 1.25 m down the ramp before it hits a spring attached to the bottom of the ramp. The coefficient of kinetic friction between the crate and the ramp is 0.500 and the constant of the spring is k = 6000 N/m. What is the net impulse exerted on...

Subjects