4. Two objects with different masses (m₁ and m₂ such that m₁ < m₂) are traveling at equal velocities, v, along a horizontal frictionless surface. They both slide up the same frictionless hill (see diagram). (a) Which object rises to a greater height? (b) What is this height in terms of the given parameters? (g = 9.8 m/ 8 m/s²) m₂ m₁ h
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- 3. A 320 g block is released from rest on a 37° ramp and slides down the ramp a distance d until it contacts a spring of spring constant 820 N/m. The coefficient of kinetic friction between the block and the ramp is 0.26. It compresses the spring 5.3 cm before coming to a stop. How much was the distance d it travelled down the ramp before contacting the spring? 5.3 cm www. |370A child of mass 30.0 kg begins from rest and slides down a waterslide without friction, then launches into a pool. What is her speed at pt. 2 assuming the height of this point is 0.9 above the ground? pt. 1 2.0 m pt. 2 pt. 5 h pt. 3 0.8 m pt. 4 0.4 m Apt. 6Problem 2. A bobsleigh 4-man crew accelerates their vehicle to V0=5 m/s before jumping into it and sliding down the racetrack. The total mass of the vehicle and crew is m=630 kg. The runners are made of steel and the kinetic friction coefficient between steel and snow is 0.05. The length of the racetrack is L=1,300m and its vertical drop from start to end is H=115m. a) Ignoring friction and air resistance, what would be the final speed of the bobsleigh at the bottom of the racetrack in m/s, km/h, mph? Does this result depend on the shape of the racetrack? b) Ignoring air resistance but accounting for friction, what would be the final speed of the bobsleigh at the bottom of the racetrack in m/s, km/h, mph? Assume a straight linear racetrack.
- 13. A block slides along a track with an initial velocity vo = 7.0 m/s from one level to a higher level after passing through an intermediate valley. The difference h from the initial position to the elevated track is 0.89 m. The track is frictionless until reaches the top. What is the velocity of the block when it reaches the top of the track?A student releases a 3.9kg cart from the top of ramp and starts a stopwatch. The length from the front of the cart to the end of the ramp and the distance from the end of the ramp to the stopper are shown. Neglect backwards friction and drag and assume the cart does not lose speed transitioning from the ramp to the floor. What is the cart's acceleration on the ramp? unit | (magnitude) What is the cart's acceleration on the floor? 130cm unit (magnitude) How long does the cart take to reach the end of the ramp? 5° 200cm unit (timed from the release) How fast is the cart traveling as it hits the stopper? unit How long does the cart take to reach the stopper? unit (timed from the release) cannot be detern check answers challenge ne Calculator ound = 343m/s cant figures Rain to stop e here to search ACC t;320A block is placed on a frictionless ramp at a height h; of 14.5 m above the ground. Starting from rest, the block slides down the ramp. At the bottom of the ramp, the block slides onto a frictionless horizontal track without slowing down. At the end of the horizontal track, the block slides smoothly onto a second frictionless ramp. 01 = 43.3° 02 = 19.5° How far along the second ramp does the block travel before coming to a momentary stop, as measured along the incline of the ramp? distance traveled along second ramp: m After the block comes to a complete stop on the second ramp, it will then begin moving back down the second ramp. What is the speed of the block when it is 9.25 m, vertically, above the ground? speed of the block: m/s
- 5. Two identical blocks, each with mass m, both at rest initially, are connected, as shown. The surface is rough with the coefficient of kinetic friction 4. If the initial height is h, what are the speeds of the blocks once the hanging block hits the ground? h1. A 10.0-kg block is pushed up a 30• inclined plane that is 10.0 m long starting from rest. The coefficient of kinetic friction between the block and the plane is uk = 0.20. What is the magnitude of the constant force required to move the block from the bottom of the plane to the top in 3.00 s?