Question

A child leaves her book bag on a slide. The bag, which is at the top of the slide, starts from rest and reaches the bottom in 1.75 s. The mass of the book bag is 3.20 kg, the length of the slide is 3.30 m and the angle of incline is 28.0°. (Assume the +x-axis to be parallel to and down the slide. For all values, enter the magnitude only.)

(a) With what acceleration does the bag go down the slide?

in m/s^2

(b) What is the friction force acting on the bag?

in N

(c) What is the coefficient of kinetic friction between the bag and the slide?

(d) What is the speed of the bag when it reaches the bottom of the slide?

in m/s

Answer #1

**given**

**d = 3.3 m
t = 1.75 s
theta = 28 degrees**

**a) let a is the acceleration of the bag**

**use, d = vo*t + 0.5*a*t^2**

**d = 0 + (1/2)*a*t^2**

**==> a = 2*d/t^2**

**= 2*3.3/1.75^2**

**= 2.16 m/s^2**

**b) use, Fnet = m*g*sin(theta) - fk**

**m*a = m*g*sin(theta) - fk**

**fk = m*g*sin(theta) - m*a**

**= 3.2*9.8*sin(28) - 3.2*2.16**

**= 7.81 N**

**c) we know, fk = mue_k*N**

**fk = mue_k*m*g*cos(theta)**

**==> mue_k = fk/(m*g*cos(theta))**

**= 7.81/(3.2*9.8*cos(28))**

**= 0.282**

**d) v = u + a*t**

**= 0 + 2.16*1.75**

**= 3.78 m/s**

A child whose weight is 325 N slides down a 9.2 m playground
slide that makes an angle of 30° with the horizontal. The
coefficient of kinetic friction between slide and child is 0.20. If
she starts at the top with a speed of 0.55 m/s, what is her speed
at the bottom?

A child whose weight is 242 N slides down a 7.40 m playground
slide that makes an angle of 41.0° with the horizontal. The
coefficient of kinetic friction between slide and child is 0.0950.
(a) How much energy is transferred to thermal energy? (b) If she
starts at the top with a speed of 0.440 m/s, what is her speed at
the bottom?

A child whose weight is 281 N slides down a 6.10 m playground
slide that makes an angle of 47.0° with the horizontal. The
coefficient of kinetic friction between slide and child is 0.160.
(a) How much energy is transferred to thermal
energy? (b) If she starts at the top with a speed
of 0.311 m/s, what is her speed at the bottom?

A child whose weight is 325 N slides down a 9.2 m
playground slide that makes an angle of 30° with the horizontal.
The coefficient of kinetic friction between slide and child is
0.20. If she starts at the top with a speed of 0.55 m/s, what is
her speed at the bottom?
A.11 m/s
B.33 m/s
C.22 m/s
D.9 m/s

A crate with a mass of 3.00 kg starts from rest at the top of a
28.0° incline and slides 2.00 m down the incline in 1.25 s.
(a) What is the magnitude of the acceleration of the crate (in
m/s2)?
2.56 m/s2 correct
b) What is the frictional force (in N) acting on the crate?
(Enter the magnitude.)
(c) What is the coefficient of kinetic friction between the
crate and the incline?
(d) What is the speed of the...

A child whose weight is 190N slides down a playground slide that
makes an angle of 29 degrees with a horizontal and has a length of
9.4m. The coefficient of kinetic friction between the slide and the
child is 0.35.
a) What is the height of the slide?
b) What is the change in gravitational potential energy of the
child?
c) Draw the free-body diagram of the child
d) Calculate the frictional force on the child
e) How much energy...

A student of mass 65.4 kg, starting at rest, slides down a slide
18.2 m long, tilted at an angle of 32.1° with respect to the
horizontal. If the coefficient of kinetic friction between the
student and the slide is 0.133, find the force of kinetic friction,
the acceleration, and the speed she is traveling when she reaches
the bottom of the slide. (Enter the magnitudes.)
HINT
(a)
the force of kinetic friction (in N)
N
(b)
the acceleration (in...

justin, with a mass of 55kg, is going down an 8.0-m-high water
slide tilted at a constant but unknown angle. the coefficient of
kinetic friction between him and the slide is 0.2. he starts at
rest, and his speedat the bottom is 11m/s. the work done by the
kinetic friction force during his descent is -984.5 J.
a) What is the work done by the normalforce during his
descent?
b) What is the angle of the incline?
c) What is...

A 35 kg child slides down a playground slide at a constant
speed. The slide has a height of 3.8 m and is 7.6 m long. Using the
law of conservation of energy, find the magnitude of the kinetic
friction force acting on the child.

A 2.70-kg block starts from rest at the top of a 30.0° incline
and slides a distance of 1.90 m down the incline in 1.20 s.
(a) Find the magnitude of the acceleration of the block.
(m/s)^2
(b) Find the coefficient of kinetic friction between block and
plane.
(c) Find the friction force acting on the block.
Magnitude N
Direction
(d) Find the speed of the block after it has slid 1.90 m.
(m/s^2)

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 4 minutes ago

asked 23 minutes ago

asked 26 minutes ago

asked 35 minutes ago

asked 38 minutes ago

asked 49 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago