Answer:
Explanation:
Torque produced = tangential force x radius
= 290 x .33
= 95.7 N.m
angular acceleration = Torque / moment of inertia
.816 = 95.7 / moment of inertia
moment of inertia = 95.7 / .816
= 117.28 kgm².
Answer:
Distance magnitude = 24 meters
The direction of the displacement = Eastward
Explanation:
The distance walked by the football coach eastward = 24 meters
The distance walked by the football coach westward = 12 meters
Then the distance walked by the football coach eastward = 36 meters
Finally, the distance walked by the football coach westward = 22 meters
The total distance walked by the coach eastward = 24 + 36 = 60 meters
The total distance walked by the coach westward = 12 + 22 = 34 meters
Taking x-direction as positive, we have;
The magnitude of the distance = 60 - 34 = 24 meters,
The direction of the coach = Eastward.
5. All the resistors in this circuit, the 18 Ω resistor included, are in parallel. The voltage drop across each resistor is the same, which is the equivalent to the potential difference of the battery. That is, 36 V [choice K].
6. The ammeter is in series with the branch containing a 12 Ω resistor. Since the voltage drop across this resistor is 36 V, the current in this branch will be I = V/R = (36 V)/(12 Ω) = 3.0 A [choice D].
7. The equivalent resistance of the circuit can be calculated as follows:
1/R = 1/12 + 1/9 + 1/18 = 1/4; thus, R = 4.0 Ω [choice G].
8. Electrical power can be defined as electrical work/time, and electrical work can be given by W = qV. If P = qV/t and q/t = I (charge flowing per unit time is equal to current), then P = VI. From Ohm's law, V = IR, and I = V/R. Substituting V/R for I in the power equation, P = V²/R.
For this circuit, the V = 36 V and R (the equivalent resistance) = 4.0 Ω. So, the power loss in the circuit is P = (36 V)²/(4.0 Ω) = 324 W [choice J].
Answer:
3. 560W
Explanation:
First we calculate the work required for the 700N weigh student to climb up by 8 meters. Work is force times distance
W = Fs = 700 * 8 = 5600J
The average power is defined as the rate of energy expended over a unit of time. In order words, work divided by time duration
P = W/t = 5600 / 10 = 560 W
Answer:
D. Steel is made of different compounds distributed unevenly.
Explanation:
The statement that will support her claim that steel is a homogenous mixture is that steel is made up of different compounds distributed unevenly.
- Steel is an alloy of carbon and iron in its composition.
- Alloys are classified as mixtures.
- Their constituent reacts differently to changed medium.
- The iron in steel does not chemically bond with the carbon.
