1950 g This is the result of lead being spread out in kilograms
<span>3.834 m/s.
To solve this problem, we must ensure that the centripetal force equals or exceeds the gravitational force acting on the object. The formula for centripetal force is
F = mv^2/r
while the equation for gravitational force is
F = ma.
Since the mass (m) cancels out in both equations, we can equate them, leading to
a = v^2/r.
Now, inserting the given values (where the radius is half the diameter) allows us to find v:
9.8 m/s^2 <= v^2/1.5 m,
which simplifies to
14.7 m^2/s^2 <= v^2.
Therefore, we find that the minimum velocity required is 3.834057903 m/s <= v.
Thus, the necessary speed is 3.834 m/s.</span>
Answer:
Explanation:
For a 60W light bulb used for 1 minute:
P = 60 W
t = 1 minute = 60 seconds
This energy is capable of lifting an object weighing 10N.
W = 10N
This indicates conversion of electrical energy into potential energy.
Let's calculate the electrical energy:
Power describes the rate of work done.
Power = Work / time
Thus, work = power × time
Work = 60 × 60
Work = 3600 J
Potential energy calculation:
P.E = mgh
Where the weight is given by:
W = mg
Therefore, P.E = W·h
P.E = 10·h
Thus, we equate:
Potential energy = Electrical energy
P.E = Work
10·h = 3600
Dividing both sides by 10 gives:
h = 3600 / 10
h = 360m
The object can be lifted to a height of 360m.
Answer:
Distance: 4.6 km Displacement= -0.2 km
Explanation:
The overall distance covered: 1.5 + 2.4 + 0.7 = 4.6 km
Displacement calculation: 1.5 - 2.4 + 0.7 = -0.2 km
The displacement could also simply be stated as 0.2 km depending on whether negative value is preferred.
Answer:
1.5 × 10³⁶ light-years
Explanation:
A particular square area in interstellar space measures roughly 2.4 × 10⁷² (light-years)². To find the area of a square, the following formula is utilized:
A = l²
where,
A represents the area of the square
l denotes the length of one side of the square
Thus, l = √A = √2.4 × 10⁷² (light-years)² = 1.5 × 10³⁶ light-years
