To solve this problem we will apply the concepts related to the conservation of momentum. Momentum can be defined as the product between mass and velocity. We will depart to facilitate the understanding of the demonstration, considering the initial and final momentum separately, but for conservation, they will be later matched. Thus we will obtain the value of the mass. Our values will be defined as
Initial momentum will be
After collision
Final momentum
From conservation of momentum
Replacing,
Answer:
18.5 m/s
Explanation:
On a horizontal curve, the frictional force provides the centripetal force that keeps the car in circular motion:
where
is the coefficient of static friction between the tires and the road
m is the mass of the car
g is the gravitational acceleration
v is the speed of the car
r is the radius of the curve
Re-arranging the equation,
And by substituting the data of the problem, we find the speed at which the car begins to skid:
To solve this problem we will apply the concepts related to the final volume of a body after undergoing a thermal expansion. To determine the temperature, we will use the given relationship as well as the theoretical value of the volumetric coefficient of thermal expansion of copper. This is, for example to the initial volume defined as , the relation with the final volume as
Initial temperature =
Let T be the temperature after expanding by the formula of volume expansion
we have,
Where is the volume coefficient of copper
Therefore the temperature is 53.06°C
Answer:
Number of turns on the secondary coil of the adapter transformer is 10.
Explanation:
For a transformer,
where is the voltage induced in the secondary coil
is the voltage in the primary coil
is the number of turns of secondary coil
is the number of turns of primary coil
From the given question,
=
⇒ =
= 9.999733
∴ = 10 turns