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AlexFokin [52]
3 years ago
8

Workshop:The analysis of a simple pendulum assumed that the mass was a particle, with no size. A realistic pendulum is a small,

uniform diskof massMand radiusRat the end of a massless string, withLbeing the distance from the pivot to the center of the sphere.Find an expression for the period of this pendulum.SupposeM

Physics
1 answer:
bagirrra123 [75]3 years ago
4 0

Answer:

The expression for the period of the pendulum is

T=2π√l/g

Explanation

Kindly find attached document for the analysis of the pendulum and the derivation for the period

What is a simple harmonic motion?

Simple harmonic motion is defined as the to and fro motion of an object or a particle whose acceleration is directly proportional to its displacement from a fixed point and is always directed towards that point.

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You are standing on a sheet of ice that covers the football stadium parking lot in Buffalo; there is negligible friction between
Tatiana [17]

Explanation:

Given that,

Mass of ball, m = 0.425 kg

Initial speed of the ball, u = 12 m/s

Initial speed of a person, u' = 0

Mass of a person, m' = 68 kg

(a) Let V is the combined speed of the person and the ball. Using conservation of momentum as :

mu+m'u'=(m+m')V\\\\V=\dfrac{mu+m'u'}{(m+m')}\\\\V=\dfrac{0.425\times 12+0}{(0.425+68)}\\\\V=0.0745\ m/s

(b) If the ball hits the person and bounces off his chest, so afterwards it is moving horizontally at 9.00 m/s in the opposite direction,. Let v' is the speed of the person after the collision. So,

mu+m'u'=mv+m'v'

v = -9 m/s

mu=mv+m'v'\\\\v'=\dfrac{m(u-v)}{m'}\\\\v'=\dfrac{0.427\times (12-(-9))}{68}\\\\v'=0.131\ m/s

Hence, this is the required solution.

4 0
3 years ago
An us bomber is flying horizontally at 300 mph at an altitude of 610 m. its target is an iraqi oil tanker crusing 25kph in the s
Pachacha [2.7K]

Answer:

=1419.19 meters.

Explanation:

The time it takes for the shell to drop to the tanker from the height, H =1/2gt²

610m=1/2×9.8×t²

t²=(610m×2)/9.8m/s²

t²=124.49s²

t=11.16 s

Therefore, it takes 11.16 seconds for a free fall from a height of 610m

Range= Initial velocity×time taken to hit the tanker.

R=v₁t

Lets change 300 mph to kph.

=300×1.60934 =482.802 kph

Relative velocity=482.802 kph-25 kph

=457.802 kph

Lets change 11.16 seconds to hours.

=11.16/(3600)

=0.0031 hours.

R=v₁t

=457.802 kph × 0.0031 hours.

=1.41918 km

=1.41919 km × 1000m/km

=1419.19 meters.

3 0
4 years ago
Nicholas spends 20 minutes ironing shirts with his 1,800-watt iron. How many joules of energy were used
ivanzaharov [21]
Multiply the power (1,800 watts) by time (1,200 seconds) to get 2,160,000 joules (or 2.16 MJ)
7 0
3 years ago
What is the most appropriate tool to use when collecting data from the investigation? List, table, graph or chart?
forsale [732]
A table would be the most appropriate because that way you can compare the data.
6 0
3 years ago
A horizontal spring with stiffness 0.4 N/m has a relaxed length of 11 cm (0.11 m). A mass of 21 grams (0.021 kg) is attached and
riadik2000 [5.3K]

Answer:

0.6983 m/s

Explanation:

k = spring constant of the spring = 0.4 N/m

L₀ = Initial length = 11 cm = 0.11 m

L = Final length = 27 cm = 0.27 m

x = stretch in the spring = L - L₀ = 0.27 - 0.11 = 0.16 m

m = mass of the mass attached = 0.021 kg

v = speed of the mass

Using conservation of energy

Kinetic energy of mass = Spring potential energy

(0.5) m v² = (0.5) k x²

m v² = k x²

(0.021) v² = (0.4) (0.16)²

v = 0.6983 m/s

5 0
4 years ago
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