### Problem StatementA small block of mass \( M = 300 \, \text{kg} \) begins at height \( h \) above the ground. It slides down a frictionless surface and encounters a loop of radius \( R = 5 \, \text{m} \), as shown in the figure. What is the minimum initial height of the block so that it does not derail as it goes through the loop? Give your answer to three significant figures.### Diagram Explanation- **Block**: Represented at the top of a curved, frictionless incline.- **Height \( h \)**: The vertical distance from the ground to the initial position of the block.- **Loop**: A circular loop with radius \( R = 5 \, \text{m} \).- **Path**: The block slides down the incline and travels through the loop.### Calculation RequirementDetermine the minimum height \( h \) necessary for the block to maintain contact with the track throughout the loop. This involves applying principles of energy conservation and circular motion dynamics to ensure the block does not leave the track at the top of the loop.

Answered: Image /qna-images/answer/77f9748b-d2e7-47bb-960a-9c416b1bc914.jpg

Answered: A small block of mass M = 300 kg begins…

Similar questions

pls help not in scientific notation pls
7. A small block of mass m starts from rest and slides along a frictionless loop-the-loop as shown in the figure. What must be the initial height z, so that m pushes against the top of the track at point a with a force of magnitude equal to F₂?
The figures above show a small block of mass 0.35 kg on a track in the shape of a circular arc. The block is released from rest at a height H above the floor, as shown in Figure 1.The block slides along the track with negligible friction and leaves it at a height 0.40 m above the floor and a speed of 3.0 m/s at an 30-degree angle, as shown in Figure 2. Find the original height H. *
In the figure, a very small toy race car of mass m is released from rest,rolls down on the frictionless loop-the-loop track of radius R. It is released at a height h= 4.0 R above the floor. What is the speed of the car at point A? (point A is a point on the circle at the same height as the center of the circle but the car is on the inner side of the circle). Draw the free-body diagram of the car at point A and calculate the magnitude of the normal force that the track exerts on the car at point A? answers should be in terms of m, R, and g.
A 70 kg secret agent skis down a hill and grabs a 200 kg bag then flies off a 12 m high cliff. The hill can be considered a 1/4 of a circle with a radius of 20 m. The initial mechanical energy of the agent at the top of the hill is 14,560 J relative to the location of the bag. his initial apparent weight is 2521 .4 N and initial velocity is 22.9 m/s D) how far from the base of the cliff does the agent land? Assume the resistance is negligible. E) Assume that the agent in his bag come to rest upon colliding with the ground at the base of the cliff. What is an impulse that he in the bag experiences? Estimate the resulting contact force on the agent. Discuss the likelihood of his living through the collision
A 74 kg skier has a speed of 9.2 m/s at point A. She then encounters a 1.75 m deep dip in the snow's surface that has a circular cross section with a radius of curvature of 12 m. Note: You may ignore friction in this problem. a.) How large is the normal force exerted by the snow on the skier at point B? N b.) How much work is done by the normal force on the skier from point A to point B? J 1.75 m r = 12 m
A car in an amusement park ride rolls without friction around a track. The car starts from rest at point A at a height h above the bottom of the loop. Treat the car as a particle. What is the minimum value of h (in terms of R) such that the car moves around the loop without falling off at the top (point B)? If the car starts at height h= 4.50 R and the radius is R1 = 17.0 m, compute the speed of the passengers when the car is at point C, which is at the end of a horizontal diameter. Compute the radial acceleration of the passengers when the car is at point C, which is at the end of a horizontal diameter.
m2 m1 Two unequal masses are hung by a massless cord over a pulley in an Atwood machine. After the masses are released from rest, which of the following statements is true about the total gravitational potential energy UG and the total kinetic energy K of the system? Ug increases and K increases O UG decreases and K increases UG decreases and K decreases UG increases and K decreases
HW 5 3. A playground slide is in the form of an arc of a circle with a maximum height of 2.5 m, with a radius of 8.8 m, and with the ground tangent to the circle. Dr. Ritchey's 16 kg toddler starts from rest at the top of the slide and has a speed of 3.4 m/s at the bottom. a. What is the length of the slide? b. What average frictional force acts on the toddler over this distance? 2.5 m 2022-0 O puck position1.xlsx 2022-02-23 17-36...pdf 22-02-27 22-32.pdf Lab4.pdf
10, What is the minimum height h för which the block will reach point A on the loop without leaving the track? Correct, computer get8: 5.00E+01 m 11 A small block of mass m, which weighs 7.154 N, is hit so that it slides up a frictionless inclined plane. The surface of the inclined plane is at an angle 0 relative to the horizontal. Just after the mass is hit it has a speed of 12.80 m/s. The mass slides up the incline and travels a distance D along the incline before starting to slide back down. Find the work done by gravity on the block from its starting position up the ramp over the distance D. (Use g = 9.80 m/s?.) Answer: Submit All Answers It takes a minimum distance of 48.96 m to stop a car moving at 12.0 m/s by applying the brakes (without locking the wheels). Assume that the same frictional forces apply and find the minimum stopping distance when the car is moving at 27.0 m/s. 12.
A small sphere of mass m is launched horizontally over a body of water from a height h above the water and with a launch speed v0. Determine expressions for the following in terms of m, v0, h, and g. Air resistance is negligibly small. W is the amount of work done by the force of gravity on the projectile during its flight. ΔKE is the change in kinetic energy ΔKE of the projectile from the time it was fired until it hits the water. KEf is the final kinetic energy KEf of the projectile as it hits the water.
Four identical masses of 7.3 grams are placed at the corners of a square with a side length of d = 27 cm, as shown below. What is the gravitational potential energy of the system? d d

SEE MORE QUESTIONS