Which of the following statements must be true if the net force on an object is zero? Choose all that apply.
1 answer:
Answer:
a) The object must have constant velocity.
d) The object must have zero acceleration.
Explanation:
We can solve the problem by using Newton's second law, which states that the net force acting on an object is equal to the product between mass and acceleration:
where
F is the net force
m is the mass of the object
a is the acceleration
In this problem, the net force on the object is zero:
F = 0
This means that the acceleration of the object is also zero, according to the previous equation:
a = 0
So statement (d) is correct. Moreover, acceleration is defined as the rate of change of velocity:
Which means that , so the velocity is constant. Therefore, statement (a) is also correct. The other two statements are false because:
b)The object must be at rest. --> false, the object can be moving at constant velocity, different from zero
c)The object must be at the origin. --> false, since the object can be in motion
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Answer:
Proof in explanataion
Explanation:
The basic dimensions are as follows:
MASS = M
LENGTH = L
TIME = T
i)
Given equation is:
where,
H = height (meters)
u = speed (m/s)
g = acceleration due to gravity (m/s²)
Sin Ф = constant (no unit)
So there dimensions will be:
H = [L]
u = [LT⁻¹]
g = [LT⁻²]
Sin Ф = no dimension
Therefore,
<u>[L] = [L]</u>
Hence, the equation is proven to be homogenous.
ii)
where,
F = Force = Newton = kg.m/s² = [MLT⁻²]
G = Gravitational Constant = N.m²/kg² = (kg.m/s²)m²/kg² = m³/kg.s²
G = [M⁻¹L³T⁻²]
m₁ = m₂ = mass = kg = [M]
r = distance = m = [L]
Therefore,
<u>[MLT⁻²] = [MLT⁻²]</u>
Hence, the equation is proven to be homogenous.
Answer:
4.
Explanation:
Given,
frequency of standing wave = 603 Hz
length of string,L = 1.33 m
speed of the wave, v = 402 m/s
number of antinodes = ?
Wavelength of the standing wave
Number of anti nodes in the standing wave
n =3.97= 4.
Number of antinodes is equal to 4.