Answer:
Explanation:
B. Turn the steering wheel while the car is moving.
causes centripetal acceleration.
C. Press the gas pedal while the car is stopped.
causes forward acceleration.
D. Press the brake pedal while the car is moving.
causes rearward acceleration.
Answer:
6. Acceleration = 4.74 m/s^2
7. Centripetal force = 40.5 N
Explanation:
Problem 6.
Recall that the centripetal acceleration is defined as:
, where V is the object's tangential velocity, and r the radius of the circular motion. Therefore, in or case, the centripetal acceleration would be:
![a_c=\frac{v^2}{r}\\a_c=\frac{3.77^2}{3}\,\frac{m}{s^2} \\a_c=4.7376 \frac{m}{s^2}](https://tex.z-dn.net/?f=a_c%3D%5Cfrac%7Bv%5E2%7D%7Br%7D%5C%5Ca_c%3D%5Cfrac%7B3.77%5E2%7D%7B3%7D%5C%2C%5Cfrac%7Bm%7D%7Bs%5E2%7D%20%5C%5Ca_c%3D4.7376%20%5Cfrac%7Bm%7D%7Bs%5E2%7D)
which we can round to 4.74 m/s^2 (option b in your list)
Problem 7.
Now we need to find not just the centripetal acceleration using the same formula as above, but then the centripetal force.
![a_c=\frac{v^2}{r}\\a_c=\frac{4.5^2}{2.5}\,\frac{m}{s^2} \\a_c=8.1 \frac{m}{s^2}](https://tex.z-dn.net/?f=a_c%3D%5Cfrac%7Bv%5E2%7D%7Br%7D%5C%5Ca_c%3D%5Cfrac%7B4.5%5E2%7D%7B2.5%7D%5C%2C%5Cfrac%7Bm%7D%7Bs%5E2%7D%20%5C%5Ca_c%3D8.1%20%5Cfrac%7Bm%7D%7Bs%5E2%7D)
Now we calculate the centripetal force by multiplying this acceleration times the mass of the object following the definition of force as mass times acceleration:
Centripetal force = 5.0 kg * 8.1 m/s^2 = 40.5 N
The answers comes in Newtons (N)
Explanation:
It is given that,
Length of the poster, l = 0.95 m
Breadth of the poster, b = 1 m
The poster is in the shape of rectangle. For a rectangular shape, perimeter is equal to :
P = 2(l+b)
P=2(0.95+1)
P=3.9 m
(b) One digits, P = 4 m
(c) Two digits, P = 3.9 m
(d) Three digits, P = 3.90 m
Answer:
The molecules in the gas would be completely stationary
Explanation:
The temperature of a gas is proportional to the average kinetic energy of its molecules, according to the equation (valid for an ideal monoatomic gas):
![E_k = \frac{3}{2}kT](https://tex.z-dn.net/?f=E_k%20%3D%20%5Cfrac%7B3%7D%7B2%7DkT)
where
is the average kinetic energy of the molecules
k is the Boltzmann constant
T is the absolute temperature of the gas
For a gas at 0 Kelvin, T = 0: this means that the average kinetic energy of the molecules is also zero. But this means that the motion of the molecules has completely stopped, so the molecules are completely still.
Answer:
![q =1.07 \times 10^{-7}\ C](https://tex.z-dn.net/?f=q%20%3D1.07%20%5Ctimes%2010%5E%7B-7%7D%5C%20C%20)
Explanation:
given.
Two flat 4.0 cm × 4.0 cm electrodes carrying equal charge
space between the charges = 2 mm
Electric field strength = 7.6 x 10⁶ N/C
ε ₀ = 8.85 × 10⁻¹² C²/N · m²
magnitude of charge =?
Electric field strength between to two plates
![E = \dfrac{q}{A\epsilon_0}](https://tex.z-dn.net/?f=E%20%3D%20%5Cdfrac%7Bq%7D%7BA%5Cepsilon_0%7D)
![q = E A \epsilon_0](https://tex.z-dn.net/?f=q%20%3D%20E%20A%20%5Cepsilon_0)
![q = 7.6 \times 10^6 \times 0.04 \times 0.04 \times 8.85 \times 10^{-12}](https://tex.z-dn.net/?f=q%20%3D%207.6%20%5Ctimes%2010%5E6%20%5Ctimes%200.04%20%5Ctimes%200.04%20%5Ctimes%208.85%20%5Ctimes%2010%5E%7B-12%7D)
![q =1.07 \times 10^{-7}\ C](https://tex.z-dn.net/?f=q%20%3D1.07%20%5Ctimes%2010%5E%7B-7%7D%5C%20C%20)