Answer:

It will float.
Explanation:
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In this case, given the width, length and height, we can compute the volume as follows:

Moreover, since the density is computed via the division of the mass by the volume:

We obtain:

In such a way, since the solid has a lower density than the water, we infer it will float.
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Answer: First, we determine the circumference of the Mars by the equation below.
C = 2πr
Substituting the known values,
C = 2(π)(3,397 km) = 6794π km
To determine the tangential speed, we divide the circumference calculated above by the time it takes for Mars to complete one rotation and that is,
tangential speed = 6794π km / 24.6 hours = 867.64 km/h
Answer:
the frequency of this mode of vibration is 138.87 Hz
Explanation:
Given;
length of the copper wire, L = 1 m
mass per unit length of the copper wire, μ = 0.0014 kg/m
tension on the wire, T = 27 N
number of segments, n = 2
The frequency of this mode of vibration is calculated as;

Therefore, the frequency of this mode of vibration is 138.87 Hz
The only scalar quantity is a. 35 m
Explanation:
In physics, there are two types of quantities:
- Scalar: a scalar quantiy is a quantity having only a magnitude, so it is just a number followed by a unit. Examples of scalar quantities in physics are:
Speed
Energy
Distance
Time
- Vector: a vector quantity is quantity having both a magnitude and a direction. Examples of vector quantities in physics are:
Velocity
Force
Acceleration
Displacement
Let's now analyze each given option, to evaluate if it is a scalar or a vector:
a. 35m --> it is only a unit (no direction), so it is a scalar
b. 20 m to the right --> it has a direction, so it is a vector
c. 30 m to the North --> it has a direction, so it is a vector
So, the only correct option is a).
Learn more about scalars and vectors:
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