Question

3-A 1.0 kg block slides down an inclined plane of 39
^{0 }from the horizontal. If the
block starts from rest and hits the bottom in 5.1 s,
what is the speed of the block, in the unit m/s, at the bottom of
the incline? Assume a frictionless plane.

4-A bus negotiates a turn of radius 103 m while traveling at a speed of 92 km/h. If slipping just begins at this speed, what is the coefficient of static friction between the tires and the road?

5-A car travels around a curved road with a radius of 118 m and a banking angle of 11 degrees. With what maximum speed, in m/s, can the car turn around this curve without a tendency to skid?

6-A lady moves a suitcase of mass 22.3 kg with frictionless
wheels across a horizontal floor by pulling on a cord attached to
the suitcase making an angle of θ = 43 degrees to the horizontal,
as shown in the diagram. If the lady pulls the cord with a force of
29.8 N, what is the magnitude of the acceleration of the suitcase,
in units of m/s^{2}

7-A man wants to push a crate of mass 64.3 kg up a ramp at an angle of 17 degrees to the horizontal. What force must he apply parallel to the ramp to start the crate moving up the ramp, in units of Newtons?

t*he coefficient of static friction between the block and the
board is* *0.87*

*the coefficient of kinetic friction between the block and
the board is 0.34*

*give your answer as a positive number*

8-An electric motor turns at 547 rpm. What is the angular speed in rad/s?

9-An object moves with uniform circular motion around a circle of radius 0.69 m with a Period of 0.17 s. What is its linear speed in units of m/s?

10-An object moves in a circle of radius 3.58 m with a constant
speed. If the centripetal acceleration of the object is 0.2
m/s^{2}, what is its speed, in units of m/s ?

Answer #1

An 8.70-kg block slides with an initial speed of 1.80 m/s down a
ramp inclined at an angle of 25.3 ∘ with the horizontal. The
coefficient of kinetic friction between the block and the ramp is
0.87. Use energy conservation to find the distance the block slides
before coming to rest.

A 5.00-kg5.00-kg block is sent up a ramp inclined at an angle
?=28.0∘θ=28.0∘ from the horizontal. It is given an initial velocity
?0=15.0 m/sv0=15.0 m/s up the ramp. Between the block and the ramp,
the coefficient of kinetic friction is ?k=0.50μk=0.50 and the
coefficient of static friction is ?s=0.60.μs=0.60.
What distance ?D along the ramp's surface does the block travel
before it comes to a stop?

A block with mass ?1 is placed on an inclined plane with slope
angle ? and is connected to a hanging block with mass ?2 by a cord
passing over a small, frictionless pulley. The coefficient of
static friction is ?s, and the coefficient of kinetic friction is
?k.
(a) Find the value of ?2 for which the block of mass ?1 moves up
the plane at a constant speed once it is set in motion
(b) Find the value...

A 5.00-kg 5.00-kg block is sent up a ramp inclined at an angle
?= 25.0 ∘ θ=25.0∘ from the horizontal. It is given an initial
velocity ? 0 =15.0 m/s v0=15.0 m/s up the ramp. Between the block
and the ramp, the coefficient of kinetic friction is ? k =0.50
μk=0.50 and the coefficient of static friction is ? s =0.60.
μs=0.60. What distance ? D along the ramp's surface does the block
travel before it comes to a stop?

1. A 2 kg block is on a ramp, and slides down the ramp. The ramp
has angle 30 degrees with
respect to the ground and moves the block at a constant
velocity. The block has a
displacement vector with a magnitude of 6 m. What is the work
done on the block by thefrictional force?
2. A 0.2 kg block is on a ramp. The ramp has an angle of 30
degrees with respect to the ground. The block...

A block of mass m = 3.3 kg is on an inclined plane with
a coefficient of friction μ1 = 0.39, at an
initial height h = 0.53 m above the ground. The plane is
inclined at an angle θ = 44°. The block is then compressed
against a spring a distance Δx = 0.13 m from its
equilibrium point (the spring has a spring constant of
k1 = 35 N/m) and released. At the bottom of the
inclined plane...

2. A block slides down a plane inclined at 35o with
respect to the horizontal, with coefficient of kinetic friction
0.2. Find the ratio of the time taken to slide down the plane
starting from rest, compared to the time it would take to slide
down the plane if it were frictionless.
3. A 20 kg block slides frictionlessly down an inclined plane
that is 2.8 m long and 1.2 m high. A person pushes up against the
block, parallel...

The 5 kg block is receiving a horizontal force of 50 N on the inclined side. The angle between the block and the slope is 30 degrees and the static friction coefficient is 0.3. (1) When the block goes up, what is the acceleration? (2) If the initial speed of the block was 4m/s upward, to what height can the block go up? (3) What happens after the block goes up to its highest height?

The 5 kg block is receiving a horizontal force of 50 N on the inclined side. The angle between the block and the slope is 30 degrees and the static friction coefficient is 0.3. (1) When the block goes up, what is the acceleration? (2) If the initial speed of the block was 4m/s upward, to what height can the block go up? (3) What happens after the block goes up to its highest height?

A 1 kg block, starting from rest, slides down a 22 degree
inclined plane that is .55m tall. At the bottom, the 1 kg block
collides with a 3 kg block. The two blocks stick together and slide
.52 m on a friction less horizontal surface for .52 sec. What is
the speed of the 1kg block before it collides with the 3 kg block?
What is the acceleration of the 1kg block as it travels down the
inclined plane?...

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