Answer:
The volume of water is 139 mL.
Explanation:
Due to the Law of conservation of energy, the heat lost by coffee is equal to the heat gained by the water, that is, the sum of heats is equal to zero.
The heat (Q) can be calculated using the following expression:
where,
c is the specific heat of each substance
m is the mass of each substance
ΔT is the difference in temperature for each substance
The mass of coffee is:
Then,
The volume of water is:
Answer:
Explanation:
We are given that
Current in wire=40 A
Magnetic field= T( vertically downward)
We have to find the resultant magnitude of the magnetic field 29 cm above the wire and 29 cm below the wire.
According to Bio-Savart law, the magnetic field exerted by the wire at distance R is given by
We have R=29 cm=
1 m=100 cm
Substitute the values in the given formula
The resultant magnetic field is given by
Substitute the values then we get
The resultant magnitude of magnetic field is same above and below the wire as it is at same distance.
The resultant magnitude of the magnetic field 29 cm below the wire=
Hence, the resultant magnitude of the magnetic field 29 cm above the wire=
Answer:
The angle through which the wheel turned is 947.7 rad.
Explanation:
initial angular velocity, = 33.3 rad/s
angular acceleration, α = 2.15 rad/s²
final angular velocity, = 72 rad/s
angle the wheel turned, θ = ?
The angle through which the wheel turned can be calculated by applying the following kinematic equation;
Therefore, the angle through which the wheel turned is 947.7 rad.