Answer:
Explanation:
Give it that,
Initial velocity
u = 22m/s
Deceleration a = - 0.15m/s2
Time taken to travel a station long of 210m
Using equation of motion
Let know the final velocity, when it leaves the station
v² = u²+2as
v² = 22²+2×(-0.15)×210
v² = 484—63
v² = 421
v =√421
v = 20.52m/s
Then,
Using equation of motion to find time taken
v = u + at
20.52 = 22 +(-0.15)t
20.52-22 = -0.15t
-0.15t = -1.48
t = -1.48/-0.15
t = 9.88 sec
Answer:the final speed is 5.01 m/s
Explanation:
Momentum is the product of mass and velocity.
Cart 1 has a mass of 4.2kg and a speed 5.4 m/s
Cart 2 has a mass of 3.2kg and a speed 4.5 m/s
Total momentum before collision is
m1u1 + m2u2. It becomes
4.2×5.4 + 3.2×4.5 = 22.68 + 14.4
= 37.08kgm/s
The carts stick together after colliding head-on. This means that they move with a common velocity, v. Therefore, Total momentum after collision is (m1 + m2)v. It becomes
(4.2 + 3.2)v = 7.4v
According the the law of conservation of momentum, the total momentum before collision = the total momentum after collision. Therefore,
7.4v = 37.08
v = 37.08/7.4 = 5.01 m/s
Here is the missing information.
An exhausted bicyclist pedal somewhat erraticaly when exercising on a static bicycle. The angular velocity of the wheels takes the equation ω(t)=at − bsin(ct) for t≥ 0, where t represents time (measured in seconds), a = 0.500 rad/s2 , b = 0.250 rad/s and c = 2.00 rad/s .
Answer:
0.793 rad
Explanation:
From the given question:
The angular velocity of the wheel is expressed by the equation:

The angular velocity of the wheels takes the description of the equation ω(t)=at−bsin(ct)
SO;

dθ = at dt - (b sin ct) dt
Taking the integral of the above equation; we have:

![[\theta] ^{\theta}_{0} = a \bigg [\dfrac{t^2}{2} \bigg]^2_0 - \bigg[ -\dfrac{b}{c} \ cos \ ct \bigg] ^2_0](https://tex.z-dn.net/?f=%5B%5Ctheta%5D%20%5E%7B%5Ctheta%7D_%7B0%7D%20%3D%20a%20%5Cbigg%20%5B%5Cdfrac%7Bt%5E2%7D%7B2%7D%20%5Cbigg%5D%5E2_0%20-%20%5Cbigg%5B%20-%5Cdfrac%7Bb%7D%7Bc%7D%20%5C%20cos%20%5C%20ct%20%5Cbigg%5D%20%5E2_0)
where;
a = 0.500 rad/s2 ,
b = 0.250 rad/s and
c = 2.00 rad/s
![\theta = (0.500 \ rad/s^2 ) \bigg [\dfrac{(2s)^2}{2} \bigg] - \bigg[ -\dfrac{0.250 \ rad/s}{2.00 \ rad/s} \ cos \ (2.00 \ rad/s )( 2.00 \ s) \bigg] - \bigg [ \dfrac{0.250 \ rad/s}{2.00 \ rad/s}\bigg ] cos 0^0](https://tex.z-dn.net/?f=%5Ctheta%20%3D%20%280.500%20%5C%20rad%2Fs%5E2%20%29%20%5Cbigg%20%5B%5Cdfrac%7B%282s%29%5E2%7D%7B2%7D%20%5Cbigg%5D%20-%20%5Cbigg%5B%20-%5Cdfrac%7B0.250%20%5C%20rad%2Fs%7D%7B2.00%20%5C%20rad%2Fs%7D%20%5C%20cos%20%5C%20%282.00%20%5C%20rad%2Fs%20%29%28%202.00%20%5C%20s%29%20%5Cbigg%5D%20-%20%5Cbigg%20%5B%20%5Cdfrac%7B0.250%20%5C%20rad%2Fs%7D%7B2.00%20%5C%20rad%2Fs%7D%5Cbigg%20%5D%20cos%200%5E0)

Hence, the angular displacement after two seconds = 0.793 rad
I believe it’s B. Electrons
Answer:

Explanation:
Given data:
Mass of the paper clip, 
Kinetic energy, 
Let the velocity of the paper clip when it is thrown be <em>v</em>.
Thus,



(rounding to nearest tenth)