Question

1. A pendulum of length 52 cm is pulled in an arc. The position at the top of the arc will measure 30cm from the vertical axis, when measured perpendicularly. The pendulum is released from rest. What will be its speed at the bottom of its swing? (draw a picture). Answer to 2 decimals.

2. A 250 gram mass is pressed up against a horizontal, open coil spring, on a smooth surface. The mass compresses the spring 38 cm and is then released. If the spring constant is 99 N/m, with what speed does the mass leave the spring? Answer to 2 decimals.

3. You lift a 16 N physics book up in the air a distance of 0.9 m, at a constant velocity of 0.3 m/s. What is the work done by gravity? Answer to 1 decimal.

Answer #1

1) The position of a particle is given in cm by x = (4)
cos 3πt, where t is in seconds.
(a) Find the maximum speed.
m/s
(b) Find the maximum acceleration of the particle.
m/s2
2) An object of mass m is suspended from a vertical
spring of force constant 1692 N/m. When the object is pulled down
2.51 cm from equilibrium and released from rest, the object
oscillates at 5.10 Hz. Write expressions for the acceleration
ax...

The length of a simple pendulum is 0.85 m and the mass of the
particle (the "bob") at the end of the cable is 0.26 kg. The
pendulum is pulled away from its equilibrium position by an angle
of 7.75° and released from rest. Assume that friction can be
neglected and that the resulting oscillatory motion is simple
harmonic motion.
(a) What is the angular frequency of the motion?
rad/s
(b) Using the position of the bob at its lowest...

A 3.00 kg mass is pushed against a spring and released. If the
spring constant of the spring is 7500 N/m and the spring is
compressed 10.0 cm. (a) What is the energy stored in the compressed
spring? (b) What is the maximum speed ?0 of the mass? (c) The mass
then travels across a rough surface and then up a smooth ramp. The
speed at the beginning of the ramp is ?1 = 4.00 m/s. What is the
work...

5. A box is released on a smooth incline, which makes an angle
of 37o with respect to the horizontal.
a) What is the boxs acceleration?
b) The box starts from rest and slides a distance (along the
incline) of 75 cm to the bottom of the ramp. What is the speed of
the box at the bottom?
c) The mass of the box is 100 g. When it gets to the bottom it
compresses a spring with a force...

A 0.200 kg mass attached to a horizontal spring is displaced
15.4 cm from rest and then released. If the mass oscillates 8.00
times in 19.3 s, what is the spring constant in the spring? 0.0344
N/m 1.36 N/m 6.78 N/m 0.0212 N/m
What is the time constant of an oscillator if its amplitude of
oscillation is decreased to 32.3% of its original value in 8.50
s?
7.52 s 15.0 s 3.76 s 1.22 s
A ball is attached to...

A 3.5 kg mass compresses a spring with spring constant 1680 N/m
by a distance 0.95 m . The spring is released and launches the mass
up a frictionless ramp onto a table of height 0.5 m . The table has
a rough surface with coefficient of friction 0.15. After the mass
has travelled 3.5 m on the table, what is the speed of the
mass?
Answer in m/s. GOOD HANDWRITING/TYPING PLEASE.

The free-fall acceleration on Mars is 3.7 m/s2.
(a) What length of pendulum has a period of 1.6 s on
Earth?
cm
(b) What length of pendulum would have a 1.6-s period on
Mars?
cm
An object is suspended from a spring with force constant 10
N/m.
(c) Find the mass suspended from this spring that would result
in a period of 1.6 s on Earth.
kg
(d) Find the mass suspended from this spring that would result in a...

A cart of unknown mass is pushed 3.61 cm against a hoop spring
(spring constant 59.00 N/m) and released, just as in the lab
experiment. It is observed to roll down the track (after losing
contact with the spring) at constant speed v.
A second spring has spring constant 80.00 N/m. If the experiment is
repeated, by what distance should this second spring be compressed
in order for the cart to acquire the same final speed v?
Answer in cm

A simple pendulum with mass m = 2 kg and length L = 2.67 m hangs
from the ceiling. It is pulled back to an small angle of θ = 11°
from the vertical and released at t = 0.
1)What is the period of
oscillation?
s
2)What is the magnitude of the
force on the pendulum bob perpendicular to the string at
t=0?
N
3)What is the maximum speed of
the pendulum?
m/s
4)What is the angular
displacement at...

Please show step by step explanation including all units.
Part 1 Mass and Spring System
You have a spring with an unknown spring constant. You attach a
10 gram mass and note that the spring stretches 1 cm. Then you
remove that mass and attach a 20 gram mass and note that the spring
stretches 2 cm. a) Find the slope of the line on F vs. x plot. That
will be your spring constant. b) Then you pull the...

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