e connected by a massless string over a pul- y that is in the shape of a disk having a dius of 0.25 m, and a mass of 5 kg. In ad tion, the blocks are allowed to move on a ked block-wedge of angle 48°, as shown. The efficient of kinetic friction is 0.18 for both ocks. 2 kg 0.25 m 5 kg
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- After given a push, a 1.0-kg box slides down a slope that is inclined by 30◦ relative to the horizontal. There isa spring with a spring constant of 1000 N/m attached to the bottom of the slope, as shown. The surface ofthe slope is rough and has a coefficient of kinetic friction of 0.15. After being pushed, the box has an initialvelocity v0, and it then slides 1.2 m down the slope before hitting the spring, where it compresses the springby 25 cm. Find the work done on the box by gravity, friction, and the spring. Also, find the initial speed ofthe box.A 20 degree incline is shown with a 18 Kg block that is given an initial velocity 4 m/s down the incline. If the coefficient of kinetic friction is 0.5 calculate the acceleration of the block. 18 Kg 3.35 1.25 7.96 up the incline 7.96 down the incline 1.25 up the incline down the incline down the incline 4 m/s 20rough surfice Smooth Swace feed 2.50m he 3.00m E; Ei + WNc m A 34.2 kg block slides with a velocity of 10.22 m/s to the right on a frictionless surface (as shown in the figure above). The block slides up a slope to a height of 3.00 m and then slides across a 2.50 m long rough surface with a coefficient of kinetic friction equal to 0.325. The block continues to travel to the right and bumps into a massless spring with a spring constant (k) equal to 2320 N/m. a) How much does the spring get compressed by the block with respect to its equilibrium length? Please answer with a positive number in units of metres, with 3 sig figs. Start with conservation of energy: Er = Ei + WNC , and show all steps. b) What is the potential energy stored by the spring when the mass comes to a stop? Please show the symbolic equation and then “plug in the numbers" to give a numerical answer in units of joules with 3 sig figs. c) What happens to the potential energy stored in the spring after the block stops…
- In the figure, the 200-lb crate is being pulled up the slope by the motor M. If the velocity of the point P is 2s³ ft/s (where s is the displacement of the crate), and the coefficient of kinetic friction between the crate and the slope is u = 0.2, what will the towing force applied by M be when the box has moved 10 ft up the slope?a. Calculate the force (in N) needed to bring a 950 kg car to rest from a speed of 80.0 km/h in a distance of 110 m (a fairly typical distance for a non-panic stop). b. Suppose instead the car hits a concrete abutment at full speed and is brought to a stop in 2.00 m. Calculate the force exerted on the car and compare it with the force found in part (a). force in (b)/force in (a)=In the figure, a runaway truck with failed brakes is moving downgrade at 109 km/h just before the driver steers the truck up a frictionless emergency escape ramp with an inclination of 0 = 17°. The truck's mass is 1.3 x 104 kg. (a) What minimum length Lmust the ramp have if the truck is to stop (momentarily) along it? (Assume the truck is a particle, and justify that assumption.) Does the minimum length Lincrease, decrease, or remain the same if (b) the truck's mass is decreased and (c) its speed is decreased? (a) Number i Units (b) (c)
- What is the Net Force Cart Mass, mc . 284 kg Angle, theta 49 degrees Distance, d . 75 m Suspended Mass, ms . 240 kg Velocity 1 .664 m/s Velocity 2 .672 m/s Velocity 3 . 670 m/s Average Velocity . 669 m/s Kinetic Energy . 064 JIn the figure, a block of mass m is moving along the horizontal frictionless surface with a speed of 10 m/s. If the slope is 37° and the coefficient of kinetic friction between the block and the incline is 02 how far (D) does the block travel up the incline?rough surfice Smath swace leeeeed 2.50m he 3.00m E; Ei + WNc A 34.2 kg block slides with a velocity of 10.22 m/s to the right on a frictionless surface (as shown in the figure above). The block slides up a slope to a height of 3.00 m and then slides across a 2.50 m long rough surface with a coefficient of kinetic friction equal to 0.325. The block continues to travel to the right and bumps into a massless spring with a spring constant (k) equal to 2320 N/m. a) How much does the spring get compressed by the block with respect to its equilibrium length? Please answer with a positive number in units of metres, with 3 sig figs. Start with conservation of energy: E, = E; + WNC , and show all steps. b) What is the potential energy stored by the spring when the mass comes to a stop? Please show the symbolic equation and then "plug in the numbers" to give a numerical answer in units of joules with 3 sig figs. c) What happens to the potential energy stored in the spring after the block stops…