Answer: 0.0454 N
Explanation:
Weight is defined as the force with which a planet (or moon, or massive body) attracts a body or object by the action of gravity force. Mathematically is expressed as:
(1)
Where:
is the mass of the object
on Earth
Now, in this problem we are asked to find the weight of a spherical rock found in Titan, but measured on Earth. This means we have to use .
On the other hand, we know the density of this rock is and its volume is
.
If density is expressed as:
(2)
We can find the mass of the rock from this equation:
(3)
(4)
(5) This is the mass of the rock in kilograms
So, substituting this mass (5) in (1), we can finally find the weight of the rock measured for Earth:
(6)
(7)
Answer:
Explanation:
We can solve the problem by using the following suvat equation:
where
v is the final velocity
u is the initial velocity
a is the acceleration
s is the displacement
For the car in this problem:
u = 0 (it starts from rest)
is the final velocity
s = 10 km = 10 000 m is the displacement
Solving for a, we find:
A. 0.77 A
Using the relationship:
where P is the power, V is the voltage, and R the resistance, we can find the resistance of each bulb.
For the first light bulb, P = 60 W and V = 120 V, so the resistance is
For the second light bulb, P = 200 W and V = 120 V, so the resistance is
The two light bulbs are connected in series, so their equivalent resistance is
The two light bulbs are connected to a voltage of
V = 240 V
So we can find the current through the two bulbs by using Ohm's law:
B. 142.3 W
The power dissipated in the first bulb is given by:
where
I = 0.77 A is the current
is the resistance of the bulb
Substituting numbers, we get
C. 42.7 W
The power dissipated in the second bulb is given by:
where
I = 0.77 A is the current
is the resistance of the bulb
Substituting numbers, we get
D. The 60-W bulb burns out very quickly
The power dissipated by the resistance of each light bulb is equal to:
where
E is the amount of energy dissipated
t is the time interval
From part B and C we see that the 60 W bulb dissipates more power (142.3 W) than the 200-W bulb (42.7 W). This means that the first bulb dissipates energy faster than the second bulb, so it also burns out faster.