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hodyreva [135]
2 years ago
14

In concept simulation 10.2 you can explore the concepts that are important in this problem. astronauts on a distant planet set u

p a simple pendulum of length 1.2 m. the pendulum executes simple harmonic motion and makes 100 complete oscillations in 360 s. what is the magnitude of the acceleration due to gravity on this planet
Physics
1 answer:
Margarita [4]2 years ago
5 0
Period of a simple pendulum = 2π √(L/G)

(360s/100) = 2π √(1.2m/G)

1.8s / π = √1.2m / √G

√G · (1.8s/π) = √1.2m

√G = (π · √1.2m) / 1.8s

Square each side:

G = π² · 1.2m / 3.24 s²

G = (1.2 · π² / 3.24)  m/s²

G = 3.66 m/s²

So I just went and looked up Mars gravity. Floogle says it's 3.711 m/s² there.
That seems awfully close ... only 1.4% greater than our astronauts measured. 
You don't suppose . . . . .
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For the following inclined plane, m1 = 5.0 kg, m2 = 6.0 kg, and a = 30° A. Draw force diagrams for blocks m1 and m2. B. Calculat
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In January 2004, NASA landed exploration vehicles on Mars. Part of the descent consisted of the following stages:
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Acceleration is given by:

a=\frac{v-u}{t}

where

v is the final velocity

u is the initial velocity

t is the time interval

Let's apply the formula to the different parts of the problem:

A) -20.5 m/s^2

Let's convert the quantities into SI units first:

u = 19300 km/h \cdot \frac{1000 m/km}{3600 s/h} = 5361.1 m/s

v=1600 km/h  \cdot \frac{1000 m/km}{3600 s/h}  =444.4 m/s

t = 4.0 min = 240 s

So the acceleration is

a=\frac{444.4 m/s-5361.1 m/s}{240 s}=-20.5 m/s^2

B) -3.8 m/s^2

As before, let's convert the quantities into SI units first:

u = 444.4 m/s

v=321 km/h  \cdot \frac{1000 m/km}{3600 s/h}  =89.2 m/s

t = 94 s

So the acceleration is

a=\frac{89.2 m/s - 444.4 m/s}{94 s}=-3.8 m/s^2

C) -53.0 m/s^2

For this part we have to use a different formula:

v^2 - u^2 = 2ad

where we have

v = 0 is the final velocity

u = 89.2 m/s is the initial velocity

a is the acceleration

d = 75 m is the distance covered

Solving for a, we find

a=\frac{v^2-u^2}{2d}=\frac{0^2-(89.2 m/s)^2}{2(75 m)}=-53.0 m/s^2

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3 years ago
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