Answer:
ΔR = 5 s
Explanation:
The absolute uncertainty or error in an expression is
ΔR = | | ΔB + | | ΔA
the absolute value guarantees to take the unfavorable case, that is, the maximum error.
We look for the derivatives
= 1
= -1
we substitute
ΔR = 1 ΔB + 1 ΔA
of the data
ΔB = 3 s
ΔA = 2 s
ΔR = 3 + 2
ΔR = 5 s
1. The time taken for the body to fall to ground is 4 s
2. The vertical component of the velocity when the body falls to the ground is 39.2 m/s
3. The distance from the rock when it strick the ground 10m/s is 40 m
<h3>1. How to determine the time </h3>
- Height (h) = 80 m
- Horizontal velocity = 20 m/s
- Time (t) =?
h = ut
80 = 20 × t
Divide both sides by 20
t = 80 / 20
t = 4 s
Thus, it will take the body 4 s to land on the ground.
<h3>2. How to determine the vertical component of the velocity</h3>
- Time (t) = 4 s
- Acceleration due to gravity (g) = 9.8 m/s²
- Velocity (v) =?
v = gt
v = 9.8 × 4
v = 39.2 m/s
<h3>3. How to deteremine the distance</h3>
- Horizontal velocity = 10 m/s
- Time (t) = 4 s
- Horizontal distance (s) =?
s = ut
s = 10 × 4
s = 40 m
Learn more about motion under gravity:
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The magnitude of the force that the charged sphere exerts on the line of charge is 0.0181 N.
<h3>
Magnitude of force between the charges</h3>
Apply Coulomb's law of electrostatic force.
F = (kq1q2)/r²
where;
- q1 is charge 1 = 6.3 n C/m x 0.2 m = 1.26 nC
- q2 is charge 2 = -4 μC
- r is the distance between the charges = 5 cm = 0.05 m
F = (9 x 10⁹ x 1.26 x 10⁻⁹ x 4 x 10⁻⁶)/(0.05)²
F = 0.0181 N
Learn more about electrostatic force here: brainly.com/question/17692887
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Answer:
U= 4.1×10^{-3} J
Explanation:
Given:
Young's modulus E= 2.5×10^5 N/m^2
thickness of material L_o =3.0 mm
Area A= 0.50 cm^2
ΔL= 1.0 cm
The potential energy is given by
U= 1/2FΔx
therefore
now putting values we get
U= 4.1×10^{-3} J