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I need help with this homework problem in physics:
A 10 kg block is released from rest at a rough 10 m long 30*incline. The coefficient of friction between incline and box is0.2. At the bottom of the incline is a frictionless flat track. Thebock travels down the track, hits a spring of force constant k= 100N/m. Determine the speed of the block at the bottom of the inclineand the maximum compressing distance of the spring fromequilibrium.

I think v=29.4 but Im having trouble finding x. Any help with workis appreciated.

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Casey DurganLv2

19 Nov 2019

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A 10 kg block is released from rest at a rough 10 m long 30*incline. The coefficient of friction between incline and box is0.2. At the bottom of the incline is a frictionless flat track. Thebock travels down the track, hits a spring of force constant k= 100N/m. Determine the speed of the block at the bottom of the inclineand the maximum compressing distance of the spring fromequilibrium.

A 10.0-kg block is released from rest at point ® in Figure P8.63. The track is frictionless except for the portion between points B and C, which has a length of 6.00 m. The block travels down the track, hits a spring of force constant 2250 N/m, and compresses the spring 0.300 m from its equilibrium position before coming to rest momentarily. Determine the coefficient of kinetic friction between the block and the rough surface between points B and ©.

coffeehamster276

Suppose a 94.5 kg mass is 3.75 m above the ground, and is droppedfrom rest.

a) If there is no friction, at what speed will the mass hit theground?
m/s

b) Suppose the mass now hits the ground at speed 5.72 m/s. How muchwork was done by friction on the mass? (Give the answer as apositive number.)
J

2. In procedure 1: a box of mass M starts from rest at height h,and slides down a frictionless incline.

a) If the mass of the box increases, the acceleration of the box onthe incline
decreases
increases
remains the same

b) Suppose the speed of M at the bottom of the incline was v. Atwhat height would M have to start so the speed of M at the bottomis 2v?

4h
h
between h and 2h
between 2h and 4h
more than 4h
2h

3. In procedure 2: an inclined plane is 120 cm long, and is tippedat angle ? = 10.5o. The 0 cm mark is at the bottom. Photogate 1 isat the 29.3 cm mark, and photogate 2 is at the 62.5 cm mark alongthe track, Assume

- The bottom of the track is at 0 J potential energy.
- The total mass of the cart is 654 g.
- The track is totally frictionless

NOTE: Be careful of units!

a) Find the potential energy of the cart .
- At photogate 1: J
- At photogate 2: J

b) Suppose the cart is released at rest at photogate 2 (the higherpoint on the track). Find the speed of the cart as it passesphotogate 1.
m/s

4. âin procedure 3: a spring is at the bottom of a frictionlessincline. When a box of mass M compresses the spring distance x andis released from rest, the box slides distance d up the incline(measured from where the box is at rest).

a) Suppose a box of mass 2M is used to compress the spring distancex,and is released from rest. The distance the box will slide up theincline is

d/2
between d and 2d
d/4
2d
between d/2 and d/4
between d/2 and d
d
4d
between 2d and 4d

b) Suppose a box of mass M is used to compress the spring distance2x, and is released from rest. The distance the box will slide upthe incline now is

d/2
2d
between d and 2d
between d and d/2
d/4
4d
between d/4 and d/2
between 4d and 2d
d

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