Answer:
w =3416 rad/min
Explanation:
The angular speed of the wheels in radians can be defined as follows:

where
w = angular speed
r = radius of the wheel
s =distance traveled per minute
in this case we have
r = 34/2 inches = 17 inches
s = (55 mi/hr) (5280 ft/mi) (12 in/ft) (1hr/60min) = 58,080 inches/min
Therefore, w = 58,080/ 17 = 3416 rad/min
The height to which the weight-watcher must climb to work off the equivalent 991 (food) Calories is 0.59 Km
<h3>How to determine the energy. </h3>
1 food calorie = 103 calories
Therefore,
991 food calories = 991 × 103
991 food calories = 102073 calories
Multiply by 4.2 to express in joule (J)
991 food calories = 102073 × 4.2
991 food calories = 428706.6 J
<h3>How to determine the height </h3>
- Energy (E) = 428706.6 J
- Mass (m) = 73.9 kg
- Acceleration due to gravity (g) = 9.8 m/s²
E = mgh
Divide both side by mg
h = E / mg
h = 428706.6 / (73.9 × 9.8)
h = 591.95 m
Divide by 1000 to express in km
h = 591.95 / 1000
h = 0.59 Km
Learn more about energy:
brainly.com/question/10703928
Answer:
D.The potential energy per unit charge
Explanation:
Electric potential of a charged particle:
It is scalar quantity because it has magnitude but it does not have direction.
It is the amount of work done required to move a unit positive charge from reference point to specific point in the electric field without producing any acceleration.
Mathematical representation:

Where W= Work done
= Unit positive charge
Other formula to calculate electric field:

Where K=
It can be defined as potential energy per unit charge.
Hence, option D is true.
Answer: 99.64 nm (≅ 100 nm)
Explanation: In order to explain this problem we have to obtain destructive inteference from two waves that reflect in the film and lens surface so both waves have a λ/2 shift then we have to get a difference path (2L) equal to an odd number of the half wavelegth.
Then we have the following expression:
L=(m+1/2)* λ/(2*n2); where n2 is the refractive index of the coating
for m=0 we have the minimum thickness for the coating
L=λ/(4*n2)=99.64 nm (≅ 100 nm)
Answer:
The centripetal on the car will become 4 times when the velocity gets twice.
Explanation:
As we know that centripetal force on the car of mass m and moving with constant speed v given as

m=mass
v=velocity
r=radius of the circular arc
We are assuming that the mass of the both the car is same.
If the velocity of the car gets twice 2 v
The new centripetal force on the car



Therefore we can say that centripetal on the car will become 4 times when the velocity gets twice.