The spider is traveling in a circle with radius = 15cm
The circumference of any circle = <em>2 pi (radius)</em>
The circumference of the spider's path = 2 pi (15 cm) = 30 pi cm
The spider completes a trip around this path 78 times per minute.
Its speed, relative to you, is
(78) x (30 pi) cm/min =
2,340 pi cm/min = 7,351.33 cm/min =
<em> 73.5133 meter/min =</em>
<em>4.411 km/hr =</em>
<em>2.74 miles/hour
</em>(After the last appearance of pi,
all numbers are rounded.)<em>
</em>
Answer:
11.962337 × 10^-4 N
Explanation:
Given the following :
Length L = 11.8
Charge = 29nC = 29 × 10^-9 C
Linear charge density λ = 1.4 × 10^-7 C/m
Radius (r) = 2cm = 2/100 = 0.02 m
Using the relation:
E = 2kλ/r ; F =qE
F = 2kλq/L × ∫dr/r
F = 2*k*q*λ/L × (In(0.02 + L) - In(0.02))
2*k*q*λ/L = [2 × (9 * 10^9) * (29 * 10^9) * (1.4 * 10^-7)]/ 0.118] = 6193.2203 × 10^(9 - 9 - 7) = 6193.2203 × 10^-7 = 6.1932203 × 10^-4
In(0.02 + 0.118) - In(0.02) = In(0.138) - In(0.02) = 1.9315214
Hence,
(6.1932203 × 10^-4) × 1.9315214 = 11.962337 × 10^-4 N
Mercalli Intensity Scale:
<em> is a seismic intensity scale used for measuring the intensity of an earthquake. ... It is distinct from the moment magnitude (Mw) usually reported for an earthquake, which is a measure of the energy released (sometimes misreported as the Richter magnitude, ML).</em>
Answer:
2538.46N
Explanation:
Parameters given:
Initial speed, u = 0 m/s
Final velocity, v = 240 m/s
Time, t = 0.0052 s
Mass of club, m = 55g = 0.055 kg
First we find the acceleration:
a = (v - u)/t
a = (240 - 0)/0.0052
a = 46153.85 m/s²
Average force can then be found:
F = m*a
F = 0.055 * 46153.85
F = 2538.46 N
Answer:
a) 0.0625
b) 0.177 m/s
Explanation:
The spring has potential energy stored, when it pushes on the ice block it will use that energy to perform work. The work will be converted into kinetic energy on the ice block.
The elastic potential energy on the spring is:
Ep = 1/2 * k * Δx^2
Ep = 1/2 * 200 * 0.025^2 = 0.0625 J
That is the energy that will be transferred as kinetic energy on the ice block.
Ec = 1/2 * m * v^2
Rearranging:
v^2 = 2 * Ec / m
